Selected publications by Mats Gyllenberg
1981
- Gyllenberg, M.: A note on continuous dependence of
solutions of Volterra integral equations,
Proc. Amer. Math. Soc. 81
(1981), 546-548.
- Gyllenberg, M. and Salonen, E-M.: Three paradoxes in mechanics,
Journal of Structural Mechanics 14 (1981), 36-43.
1982
- Gyllenberg, M.: Nonlinear age-dependent population dynamics in
continuously propagated bacterial cultures,
Math. Biosci. 62 (1982),
45-74.
1983
- Gyllenberg, M.: Stability of a nonlinear age-dependent population
model containing a control variable,
SIAM J. Appl.
Math. 43 (1983),
1418-1438.
1984
- Gyllenberg, M.: An age-dependent population model with
applications to microbial growth processes, in Modelling of patterns
in space and time, W. Jäger and J.D. Murray (Eds.),
Springer Lecture
Notes in Biomathematics, 55 (1984), 87-102.
- Gyllenberg, M., Isomäki, H. and Salonen, E-M.: On the law of the
parallelogram of forces, Int. J. Mech. Eng. Educ. 12 (1984),
115-118.
1985
- Gyllenberg, M.: The age structure of populations of cells
reproducing by asymmetric division, in Mathematics in biology and
medicine, V. Capasso, E. Grosso and S.L. Paveri-Fontana (Eds.),
Springer Lecture Notes in
Biomathematics 57 (1985), 320-327.
- Gyllenberg, M.: A functional partial differential equation of
hyperbolic type modelling cell growth and division, Proceedings of
the 11th IMACS world congress on system simulation and scientific
computation. Oslo (1985), Vol 1, 91-94.
1986
- Gyllenberg, M.: The size and scar distributions of the yeast
Saccharomyces cervisiae,
J.
Math. Biol. 24 (1986), 81-101.
1987
- Clément, Ph., Diekmann, O., Gyllenberg, M., Heijmans, H.J.A.M.,
Thieme,H.R.: Perturbation theory for dual semigroups. I. The
sun-reflexive case,
Math. Ann. 277 (1987), 709-725.
-
Gyllenberg, M.: Dynamics of structured populations, Helsinki University of Technology, Institute of Mechanics, 23 (1987)
- Gyllenberg, M. and Heijmans, H.J.A.M.: An abstract
delay-differential equation modelling size dependent cell growth and
division,
SIAM J. Math. Anal. 18 (1987), 74-88.
- Gyllenberg,M and Webb, G.F.: Age-size structure in populations
with quiescence,
Math. Biosci. 86 (1987), 67-95.
1988
- Clément, Ph., Diekmann, O., Gyllenberg, M., Heijmans, H.J.A.M.,
Thieme,H.R.: Perturbation theory for dual semigroups. II.
Time-dependent perturbations in the sun-reflexive case, Proc. Royal
Soc. Edinburgh 109A (1988), 145-172.
- Gyllenberg, M.: Mathematical modelling of screening for breast
cancer, in Mastology 88, L. Ionnidou-Mouzaka, M. Philippakis, P.
Angelikis (Eds.),
Elsevier, Amsterdam (1988), 79-84.
-
Gyllenberg, M.: A mathematical model for the age-size-distribution of firms, Chalmers University of Tecnology, CIM-WP 19888-01
- Gyllenberg, M. and Gästrin, G.: A patient-age, tumour-size
structured model for detection and mortality of female breast cancer,
Proceedings of the 12th IMACS world congress on scientific
computation, Paris (1988) Vol 4, 109-112.
1989
- Clément, Ph., Diekmann, O., Gyllenberg, M., Heijmans, H.J.A.M.,
Thieme,H.R.: Perturbation theory for dual semigroups III. Nonlinear
Lipschitz continuous perturbations in the sun reflexive case. in
Proceedings of the Conference on Volterra integro-differential
equations in Banach spaces and applications, Trento 1987, G. Da Prato
and M. Iannelli (Eds.), Pitman research Notes in Mathematics Series
190 (1989), 67-89.
- Clément, Ph., Diekmann, O., Gyllenberg, M., Heijmans, H.J.A.M.,
Thieme,H.R.: Perturbation theory for dual semigroups IV. The
intertwining formula and the canonical pairing., in Trends in
semigroup theory and applications, Ph. Clément, S. Invernizzi, E. Mi
tidieri, I.I. Vrabie (Eds.),
Marcel Dekker. (1989), 95-116.
- Clément, Ph., Diekmann, O., Gyllenberg, M., Heijmans, H.J.A.M.,
Thieme, H.R.: A Hille-Yosida theorem for a class of weakly *
continuous semigroups,
Semigroup
Forum, 38 (1989), 157-178.
- Diekmann, O., Gyllenberg, M., Heijmans, H.J.A.M.: When are two
C0-semigroups related by a bounded perturbation? , in Trends in
semigroup theory and applications, Ph. Clément, S. Invernizzi, E.
Mitidieri, I.I. Vrabie (Eds.),
Marcel Dekker (1989), 153-162.
- Gyllenberg, M.: Screening for breast cancer - a structured
population approach, in IMACS Transactions on Scientific Computation
1988, Vol 5. Biomedical systems modelling and simulation, J.
Eisenfeld and D.L. Levine (Eds.), Balzer, Basel (1989), 35-42.
- Gyllenberg,M and Webb, G.F.: Quiescence as an explanation of
Gompertzian tumor growth, Growth, Development and Aging, 53 (1989),
25-33.
1990
- Gyllenberg,M and Webb, G.F.: A nonlinear structured cell
population model of tumor growth with quiescence,
J. Math. Biol. 28
(1990), 671-694.
1991
- Diekmann, O., Gyllenberg,M, Thieme, H.R.: Perturbation theory
for dual semigroups. V. Variation of constants formulas., in
Semigroup Theory and Evolution Equations, Ph. Clément, E. Mitidieri,
and B. de Pagter (Eds.),
Marcel Dekker,
(1991), 107 - 123.
- Diekmann, O., Gyllenberg,M, Thieme, H.R.: Semigroups and renewal
equations on dual Banach spaces with applications to population
dynamics, in Delay differential equations and dynamical systems,
S. Busenberg and M. Martelli (Eds.).
Springer Lecture Notes
in Mathematics, 1475 (1991), 116 - 129.
- Gyllenberg,M and Webb, G.F.: Quiescence in structured population
dynamics: Applications to tumor growth, in Mathematical Population
Dynamics, O. Arino, D. Axelrod, M. Kimmel (Eds.),
Marcel Dekker,
(1991), 45-62.
1992
- Gyllenberg, M. and Hanski, I.: Single-Species
Metapopulation Dynamics: A structured model, Theor. Pop. Biol.
42 (1992), 35-62.
- Gyllenberg, M. and Webb, G.F.: Asynchronous exponential
growth of semigroups of nonlinear operators, J. Math. Anal.
Appl. 167 ( 1992), 443-467.
- Oksanen, T., Oksanen, L., and Gyllenberg, M.: Exploatation ecosystems in heterogenous habitat complexes II: Impact of
small-scale heterogeneity on predator prey dynamics, Evolutionary Ecology, 6 (1992), 383-398.
1993
- Diekmann, O., Gyllenberg, M., Metz, J.A.J. & Thieme, H.R
1993: The "cumulative" formulation of (physiologically)
structured population models, in Evolution Equations, Control
Theory and Biomathematics, Ph. Clement & G. Lumer (eds),
Marcel Dekker,
New York, pp. 145-154.
- Diekmann, O., Gyllenberg, M. & Thieme, H.R 1993:
Perturbing semigroups by solving Stieltjes renewal
equations, Differential and Integral
Equations 6:155 181.
- Diekmann, O., Gyllenberg, M. & Thieme, H.R 1993:
Perturbing evolutionary systems by cumulative outputs and step
responses, Lulea
University of Technology, Department of Applied Mathematics,
Research Report 1993 04, ISRN HLU-TMAT-RES--93/4--SE.
- Diekmann, O., Gyllenberg, M., Thieme, H.R, Verduyn Lunel, S.M. 1993:
A cell-cycle model revisited, Centrum for Wiskunde en Informatica, Report AM-R9305
- Gyllenberg, M. 1993: Does time lag of nutrient utilization
justify Monod's model of bacterial growth?,
Bulletin of Mathematical Biology 55:487-489.
- Gyllenberg, M., Gyllenberg, H.G., Koski, T. & Schindler, J.
1993: Nonuniqueness of numerical taxonomic structures,
Binary 5:138- 144.
- Gyllenberg, M., Koski, T. & Verlaan, M. 1993: On
quantization of binary vectors using stochastic complexity, in
Proceedings of the Sixth Joint Swedish-Russian International Workshop
on Information Theory, Molle 1993, L. Mansson (ed.), Student
litteratur, Lund, pp. 240 244.
- Gyllenberg, M., Söderbacka, G. & Ericsson, S. 1993:
Does migration stabilize local population dynamics? Analysis of
a discrete metapopulation model,
Mathematical Biosciences 118: 25-49.
- Hanski, I. & Gyllenberg, M. 1993: Two general
metapopulation models and the core-satellite species
hypothesis, American
Naturalist 142: 17-41.
1994
- Gyllenberg, M. 1994: Matematiikka luonnontieteiden
kielenä (English Summary: Mathematics as the
language of science), Arkhimedes
3:230-238.
- Gyllenberg, M. & Persson, L.E. (eds) 1994: Analysis,
Algebra and Computers in Mathematics, Proceedings of the 21st
nordic Congress of Mathematicians,
Marcel Dekker, New York-Basel-Hong
Kong, 408 p.
- Gyllenberg, M. & Silvestrov, D.S. 1994:
Quasistationary distributions of a stochastic metapopulation
model,
J. Math. Biol. 33:35-70.
- Gyllenberg, M., Högnäs, G. & Koski, T. 1994:
Population models with environmental stochasticity,
J. Math. Biol. 32:93-108.
- Gyllenberg, M., Högnäs, G. & Koski, T. 1994:
Null recurrence in a stochastic Ricker model, in
Analysis, Algebra and Computers in Mathematics. Proceedings of the
21th Nordic Congress of Mathematicians, Gyllenberg, M. & Persson,
L.E. (eds),
Marcel Dekker,
New York - Basel - Hong Kong, pp.
147-166.
- Gyllenberg, M., Koski, T., Reilink, E., & Verlaan, M. 1994:
Nonuniqueness in probabilistic numerical identification of
bacteria, J. Appl.
Probability 31:542-548.
- Gyllenberg, M., Koski, T. and Verlaan, M: Clustering and
Quantization of Binary Vectors Using Stochastic Complexity, in
Proceedings of the IEEE International Symposium on Information
Theory, (1994), p. 390.
1995
- Diekmann, O. Gyllenberg, M., and Thieme, H.R.: Perturbing
evolutionary systems by cumulative outputs and step responses,
Differential and Integral Equations, 8 (1995), 1205-1244.
- Gyllenberg, M. and Koski, T.: A taxonomic associative
memory based on neural computation, Binary 7 (1995),
61-66.
- Gyllenberg, M. and Koski, T. (Editors): The Future of
Numerical Taxonomy, Special Issue of Binary, Binary 7 (1995),
29-76.
- Gyllenberg, M., Koski, T. and Lahti, T.: Associativ memories for
clusters of binary vectors using MATLABTM Neural Network Toolbox,
Proceedings of Nordic MATLAB Conference '95, Lars Langemyr (Ed.),
Comsol, Stockholm, 1995 Vol. II, pp. 49-54.
1996
- Gyllenberg, M. and Koski, T.: Numerical Taxonomy and the
Principle of Maximum Entropy,
Journal of Classification 13 (1996) 213 - 229.
- Gyllenberg, M. and Koski, T.: Posterior predictive distributions
and maximal predictiveness for classification of multivariate binary
data, Department of
Mathematics,
Royal Institute of Technology, Stockholm,
TRITA-MAT-1996-MS-01.
- Gyllenberg, M., Hanski, I. and Lindström, T.: A
predator-prey model with optimal suppression of reproduction in the
prey,
Math. Biosci., 134 (1996) 119-152.
- Gyllenberg, M., Koski, T., Reilink E. and Verlaan, M.:
Probabilistic aspects of numerical identification in
microbiology, in Frontiers in Pure and Applied Probability,
Shiryaev, A.N, Melnikov, A.V., Niemi, H. and Valkeila, E. (Eds.),
Moscow: TVP Science Publishers, (1996), 67 - 78.
- Gyllenberg, M., Osipov, A.V. and Söderbacka, G.:
Bifurcation analysis of a metapopulation model with sources and
sinks,
J. Nonlinear Science 6 (1996), 329- 366.
- Hanski, I., Moilanen, A. and Gyllenberg M.: Minimum viable
metapopulation size, American Naturalist,
147 (1996), 527 - 541.
1997
- Gyllenberg, M. and Koski, T.: On predictive classifications of binary
vectors,
Proceedings of the Sixth International Workshop on Artificial Intelligence
and
Statistics, Ft. Lauderdale, Florida (1997), 239 - 242.
- Gyllenberg, M. and Silvestrov, D.S.: Exponential asymptotics for
perturbed
renewal equations and pseudo-stationary phenomena for stochastic systems,
UmeÃÂ University,
Department of Mathematical Statistics, Research Report 3 (1997)
ISSN 1401-730X.
- Gyllenberg, H.G., Gyllenberg, M., Koski, T., Lund, T.,
Schindler, J., and Verlaan, M.: Classification of
Enterobacteriaceae by minimization of stochastic complexity,
Microbiology,
143 (1997) 721-732.
- Gyllenberg, M., Hanski, I. and Hastings, A.: Structured
metapopulation models, in Metapopulation dynamics: Ecology, genetics
and evolution (I. Hanski and M. Gilpin, eds.),
Academic Press,
London, (1997), 93-122.
- Gyllenberg, M., Hanski, I. and Lindström T.: Continuous versus
discrete single species population models,
Bulletin of Mathematical Biology 59 (1997)
679-705.
- Gyllenberg M. and Hanski, I.: Habitat deterioration,
habitat destruction and metapopulation persistence in a heterogeneous
landscape,
Theor. Pop. Biol.,
52 (1997) 198 - 215.
- Gyllenberg, M., Koski, T. and Verlaan, M.: Classification
of binary vectors by stochastic complexity,
Journal of
Multivariate Analysis,
63 (1997) 47-72.
- Gyllenberg, M., Osipov A.V., and Söderbacka, G.: Effekt sohraneniya
attraktora pri
dvumernom vozmushchenii, Differentialnye Uravneniya, 33 (1997) 859 -
860. English translation in Differential Equations
- Hanski, I. and Gyllenberg, M.: Uniting two general
patterns in the distribution of species, Science 275 (1997)
397 - 400.
1998
- Diekmann, O., Gyllenberg, M., Metz, J.A.J. and Thieme, H.R.:
On the formulation and analysis of general deterministic
structured population models. I. Linear theory, Journal of
Mathematical Biology,
36 (1998) 349 - 388.
-
Gyllenberg, M. and Koski, T.: Posterior predictive distributions for
classification of multivariate binary data, University of Turku, Institute of Applied Mathematics, Research Reports A21
(1998).
-
Gyllenberg, M. and Silvestrov, D.S.: Quasi-stationary phenomena in
semi-Markov models,
Proceedings of the Second International Symposium on Semi-Markov
Models: Theory and
Applications, J. Janssen and N. Limnios (Eds.),
Université de Technologie de Compiègne (1998)
pp. 87 - 93.
- Gyllenberg, H.G., Gyllenberg, M., Koski, T., and Lund, T.: Stochastic
complexity as a
taxonomic tool,
Computer Methods and
Programs in Biomedicine,
56 (1998),11-22.
-
Gyllenberg, M., Koski, T. and Lund, T.: Applications of machine learning to microbial
taxonomy (in Finnish), Tietojenkäsittelytiede (Journal of the Finnish Society for Computer
Science), December (1998) 23 - 24.
- Persson, L., Leonardsson, K., de Roos, A., Gyllenberg, M. and Christensen, B.:
Ontogenetic
Scaling of Foraging Rates and the Dynamics of a Size-Structured
Consumer-Resource Model,
Theor. Pop. Biol.,
54 (1998), 270 - 293.
1999
-
Agur, S., Cushing, J., Diekmann, O., Gyllenberg, M., Heesterbeek, H., Jagers, P.,
Kimmel, M., Kostova, T. and Milner, F. (Editors):
Epidemiology, Cellular Automata, and Evolution. Special issue of Mathematical
Biosciences 156 (1999) No. 1 - 2, pp. i - viii, 1 - 342.
-
Agur, S., Cushing, J., Diekmann, O., Gyllenberg, M., Heesterbeek, H., Jagers, P.,
Kimmel, M., Kostova, T. and Milner, F. (Editors):
Deterministic Models with Applications in Population Dynamics and Other Fields of
Biology. Special issue of Mathematical Biosciences 157 (1999) No. 1 - 2, pp. i - viii, 1
- 372.
- Aittokallio, T., Gyllenberg, M., Kuusela, T., Hietarinta, J., and
Multamäki, T.:
Improving the false nearest neighbors method with graphical analysis, Physical Review E, 60 (1999) 416-421.
- Gyllenberg, H.G., Gyllenberg, M., Koski, T., Lund, T. and Schindler,
J.: An
assessment of cumulative classification,
Quantitative
Microbiology. 1 (1999) 7-27.
-
Gyllenberg, H.G., Gyllenberg, M., Koski, T., Lund, T., and Schindler, J.:
Enterobacteriaceae taxonomy approached by minimization of stochastic
complexity, Quantitative
Microbiology 1 (1999) 157-170.
-
Gyllenberg, H.G., Gyllenberg, M., Koski, T., Lund, T., Mannila, H. and Meek, C.: Singling
out ill-fit items in a classification. Application to the taxonomy of
Enterobacteriaceae, Archives of Control Sciences,
9 (1999) 97-105.
-
Gyllenberg, M., Hemminki, J., and Tammaru, T.: Allee effects can both
conserve and
create spatial heterogeneity in population densities,
Theor. Pop. Biol., 56 (1999),
231-242.
- Gyllenberg, M., Koski, T., Lund, T., and Gyllenberg, H.G: Bayesian predictive
identification and cumulative classification of bacteria,
Bulletin of Mathematical Biology,
61 (1999) 85 -111.
- Gyllenberg, M. and Osipov A.V.: Predelnye cikly v dvumernoj zadache
Maya,
Differentialnye Uravneniya, 35 (1999) 733-737. English translation: Limit cycles in the two-dimensional May problem,
Differential Equations 35 (1999) 733-738.
- Gyllenberg, M. and Osipov A.V.: Tipy dinamicheskogo povedniya v modeli
Hanski-Hentonena, Differentialnye Uravneniya, 35 (1999) 882 - 888. English translation: Types of dynamic
behavior in the Hanski-Henttonen model, Differential Equations 35 (1999) 888-895.
-
Gyllenberg, M. and Silvestrov, D.S.: Quasi-stationary phenomena for semi-Markov
processes, Ch. 3 in Semi-Markov Models and Applications, J. Janssen
and N. Limnios (Eds.), pp. 33 - 60, Kluwer Academic Publishers, Dordrecht, The Netherlands. (1999).
-
Gyllenberg, M. and Silvestrov, D.S.: Cramér-Lundberg and diffusion approximations for nonlinearly perturbed risk
processes including numerical computation of ruin probabilities, Theor. Stoch. Proc. 5(21) (1999), 6 - 21.
2000
-
Aittokallio, T., Gyllenberg, M., Järvi, J., Nevalainen, O. and Polo, O.: Detection of
high-frequency respiratory movements during sleep,
Computer Methods and
Programs in Biomedicine,
61
(2000), 171 - 185.
-
Diekmann, O., Gyllenberg, M. and Thieme, H.R.: Lack of Uniqueness in Transport
Equations with a Nonlocal Nonlinearity, Mathematical Models and Methods
in Applied Sciences 10 (2000) 581 - 592.
- Fränti, P., Gyllenberg, H.G., Gyllenberg, M., Kivijärvi, J., Koski,
T., Lund, T., and Nevalainen, O.: Minimizing stochastic complexity using local search and GLA
with applications to classification of bacteria, BioSystems, 57 (2000) 37-48.
-
Gyllenberg, M., Koski, T., and Lund, T.: Applying the EM-algorithm to classification of bacteria, In F. Naghdy, F. Kurfess, H. Ogata, E. Szczerbicki, H. Bother and H.
Tlanfield (Eds.): Proceedings
of the International ICSC Congress on Intelligent Systems and Applications,
Vol. 2, pp. 65-71 (2000)
-
Gyllenberg, M., Koski, T., Lund, T., and Nevalainen, O.: Clustering by adaptive local search with multiple search
operators, Pattern Analysis and Applications 3
(2000) 348-357.
-
Gyllenberg, M. , Koski, T., Lund, T. and Nevalainen, O.: On self-adaptation in multioperator local search, In
Proceedings of the Fourth International Conference on Knowledge-Based Intelligent
Engineering Systems and Allied Technologies, Vol.1, R.J. Howlett and L.C. Jain (Eds.), pp. 181-184, Institute of
Electrical and Electronics Engineers, Brighton, UK, 2000.
-
Gyllenberg, M. and Sigmund, K.: The Fibonacci chimney, The Mathematical Intelligencer, 22 (2000) 46.
-
Gyllenberg, M. and Silvestrov, D.S.: Nonlinearly perturbed
regenerative processes
and pseudo-stationary phenomena for stochastic systems, Stochastic
Processes and Their Applications, 86 (2000) 1-27.
- Gyllenberg, M. and Silvestrov, D.S.: Cramér-Lundberg Approximation for
Nonlinearly
Perturbed Risk Processes, Insurance: Mathematics and Economics,
26 (2000) 75-90.
- Noykova, N. and Gyllenberg, M.: Sensitivity analysis and paramter estimation in a model of anaerobic waste water
treatment with substrate inhibition, Bioprocess
Engineering, 23 (2000) 343 -349.
2001
-
Aittokallio, T., Gyllenberg, M. and Polo, O.: A model of a snorer's upper airway,
Mathematical Biosciences, 170 (2001) 79-90.
-
Aittokallio, T., Gyllenberg, M., Nevalainen, O., and Polo, O.: Testing for periodicity in signals: an application to detect
partial upper airway obstruction during sleep, Journal of Theoretical Medicine3 (2001) 231-245.
-
Alvarez, L.H.R., Gyllenberg, M., and Shepp, L.A.: Optimal harvesting in the presence of density dependent extinction
probabilities, TUCS Technical Report 431 (2001) 1-25.
-
Diekmann, O., Gyllenberg, M., Huang, H., Kirkilionis, M., Metz, J.A.J., Thieme, H.R.:On the formulation and analysis of
general deterministic structured population models. II. Nonlinear theory, Journal of
Mathematical Biology 43 (2001) 157-189.
-
Gyllenberg, H.G., Gyllenberg, M., and Koski, T.: Sense in microbial taxonomy: Minimization of stochastic complexity as an
objective taxonomic tool, Recent Research Developments in Microbiology, 5 (2001) 211-221.
-
Gyllenberg M. and Parvinen,K.: Necessary and sufficient conditions for evolutionary suicide,
Bulletin of Mathematical
Biology, 63 (2001) 981-993
-
Gyllenberg, M. and Koski, T.: Probabilistic Models for Bacterial Taxonomy, International Statistical Review, 69 (2001) 249-276.
-
Gyllenberg, M., Koski, T., and Lund, T.: BinClass: A Software Package for Classifying Binary Vectors. User's Guide.
TUCS Technical Report 411 (2001)
-
Gyllenberg M. and Metz, J.A.J.: On fitness in structured metapopulations, Journal of
Mathematical Biology 43 (2001) 545-560.
-
Gyllenberg, M. and Yan Ping: On a conjecture by Yang, Journal of Mathematical Analysis
and Applications 264 (2001) 687-690.
-
Johnson, M.S., Lehtonen, J., Still, D-J., Rantanen, V-V., and Gyllenberg, M.: BODIL: a Molecular Modeling Environment for
Structure-Function Analysis and Drug Discovery-Made in Finland, Tietoyhteys 4 (2001) 12-13.
-
Metz, J.A.J. and Gyllenberg, M.: How should we define fitness in structured metapopulation models? Including an
application to the calculation of evolutionarily stable dispersal strategies, Proc. R. Soc. London B. 268 (2001)
499 - 508.
-
Noykova, N., Müller, T.G., Gyllenberg, M., and Timmer, J.: Identifiability problems in a mathematical model of
anaerobic digestion, In: V. Sgurev, K. Boyanon and M. Hadjiski (Eds.): Proceedings of the International Conference on
Automatics and Informatics, Sofia, Bulgaria, May 31 - June 2, 2001, Union of Automation and Informatics, Sofia Bulgaria,
2001. pp. 37-40.
-
Rantanen, V-V., Denessiouk, K.A., Gyllenberg, M., Koski, T., and Johnson, M.: A fragment library based on Gaussian mixtures
predicting favorable molecular interactions, Journal of Molecular
Biology, 313 (2001) 197-214.
2002
-
Aittokallio, T., Gyllenberg, M., and Polo, O.: Adjustment of human respiratory system to increased upper airway resistance
during sleep,
Bulletin of Mathematical
Biology. 64 (2002) 3-28 .
-
Geritz, S. A. H., Gyllenberg, M., Jacobs, F. J. A., and Parvinen, K.: Invasion dynamics and attractor inheritance, Journal of
Mathematical Biology, 44
(2002) 548-560.
- Gyllenberg, M. and Koski, T.: Bayesian Predictiveness,
Exchangeability and Sufficientness in
Bacterial Taxonomy, Mathematical
Biosciences, 177-178 (2002) 161-184.
- Gyllenberg, M. and Koski, T.: Tree augmented classification of binary data minimizing stochastic complexity, University
of LInköping, LiTH-MAT-R-2002-04.
-
Gyllenberg, M. Koski, T., Dawyndt, P., Lund, T., Thompson, F., Austin, B. and Swings,J.: New methods for the analysis of
binarized BIOLOG GN data of Vibrio species: Minimization of stochastic complexity and cumulative classification,
Systematic and Applied Microbiology
, 25 (2002) 403-415.
-
Gyllenberg, M., Osipov, A. and Päivärinta, L.: The inverse problem of age-structured population dynamics, Journal of Evolution Equations,
2 (2002) 223-239.
-
Gyllenberg, M., Parvinen, K., and Dieckmann, U.: Evolutionary suicide and evolution of dispersal in structured metapopulations,
Journal of
Mathematical Biology, 45 (2002) 2,
79-105.
-
Gyllenberg, M., Preoteasa, D., and Saikkonen, K.: Vertically transmitted symbionts in structured host metapopulations,
Bulletin of Mathematical
Biology, 64 (2002) 959-978.
-
Gyllenberg, M. and Yan Ping: The Generalized Liénard Systems, Discrete and Continuous Dynamical Systems -- Series A, 8 (2002) 1043-1057.
-
Gyllenberg, M. and Wang, Y.: Dynamics of the Periodic Type-K Competitive Kolmogorov Systems,
TUCS Technical Report 492 (2002).
-
Matter, S.F., Hanski, I., and Gyllenberg, M.: A test of the metapopulation model of the species-area relationship, J. Biogeogr.
29 (2002) 977-983.
-
Müller, T.G., Noykva, N., Gyllenberg, M., and Timmer, J.: Parameter identification in a dynamical model of anaerobic waste
water treatment, Mathematical
Biosciences, 177-178 (2002) 147-160.
-
Noykova, N., Müller, T.G., Gyllenberg, M., and Timmer, J.: Qualitative analyses of anaerobic wastewater treatment
processes: identifiability and parameter estimation, Biotechnology and
Bioengineering, 78 (2002) 89-103.
-
Rantanen, V-V., Gyllenberg, M., Koski, T., and Johnson, M.S.: A dissimilarity matrix between protein atom classes based on
Gaussian mixtures, Bioinformatics18 (2002) 1257-1263.
-
Saikkonen, K., Ion, D., and Gyllenberg, M.: The persistence of fungal endophytes in grass metapopulations, Proc. R. Soc. London B., 269 (2002) 1397-1403.
2003
-
Aittokallio, T., Gyllenberg, M., Saaresranta, T., and Polo, O.: Prediction of inspiratory flow shapes during sleep
with a mathematical model of upper airway forces, SLEEP, 26 (2003), 857-63.
-
Diekmann, O., Gyllenberg, M. and Metz, J.A.J.: Steady state analysis of structured population models, Theoretical Population biology, 63 (2003) 309-338.
-
Gyllenberg, M., Carlsson, J. and Koski, T.: Bayesian Network Classification of Binarized DNA Fingerprinting Patterns, In: V.
Capasso (Ed.): Mathematical Modelling and Computing in Biology and Medicine, Progetto Leonardo, Bologna, 2003,
pp. 60-66.
-
Gyllenberg, M., Jacobs, F.J.A. and Metz, J.A.J.:On the Concept of Attractor for Community-Dynamical Processes. II: The Case of
Structured Populations, Journal of
Mathematical Biology,, 47 (2003) 235-248.
-
Gyllenberg, M., Osipov, A. and Päivärinta, L.:
On determining individual behaviour from population data,
in Function Spaces, Differential Operators, Nonlinear Analysis. The Hans Triebel Anniversary Volume, D.
Haroske, T. Runst and H.-J. Schmeisser (Eds.), Birkhäuser, Basel (2003) pp. 329-339.
-
Parvinen, K., Dieckmann, U., Gyllenberg, M., and Metz, J.A.J.: Evolution of dispersal in metapopulations with local density
dependence and demographic stochasticity, Journal of
Evolutionary Biology, 16 (2003) 143-153.
-
Rantanen, V-V., Gyllenberg, M., Koski, T., and Johnson, M.S.: A Bayesian molecular interaction library,
Journal of Computer-Aided Molecular Design,
17 (2003) 435-461.
2004
-
Austin, B., Dawyndt, P., Gyllenberg, M., Koski, T., Lund, T., Swings, J., Thompson, F.L.: Sliding window discretization: A
new method for multiple band matching of bacterial genotyping fingerprints, Bulletin of Mathematical Biology 66 (2004)
1575-1596.
-
Gyllenberg, M., Hanski, I, and Metz, J.A.J.: Spatial dimensions of population viability, In Evolutionary
Conservation Biology, R. Ferrière, U. Dieckmann and D. Couvet (Eds.), Cambridge University Press, 2004, pp. 59-80.
-
Gyllenberg, M., Ping Yan, and Jifa Jiang: The qualitative behavior of a second order system with zero diagonal coefficient,
Journal of Mathematical Analysis
and Applications, 291 (2004) 322-340.
-
Gyllenberg, M. and Yi Wang: Dynamics of the periodic type-K competitive Kolmogorov systems, Journal of Differential
Equations , 205 (2004) 50-76.
-
Gyllenberg, M. , Yi Wang and Jifa Jiang: Asymptotic spatial homogeneity in a class of periodic quasimonotone
reaction-diffusion systems with a first integral, Nonlinear Analysis 59 (2004) 235--244 .
-
Kisdi, E. and Gyllenberg, M.: On some misconceptions about adaptive dynamics, Turku Centre for Computer Science, TUCS Technical
Report 264 (2004).
-
Lehtonen, J.V.,
Still, D-J.,
Rantanen, V-V., Ekholm, J.,
Björklund, D., Iftikhar, Z., Huhtala, M., Jussila,A., Jaakkola, J.,
Pentikäinen, O., Nyrönen, T., Salminen, T., Gyllenberg, M., and
Johnson, M. S.: BODIL: a Molecular Modeling Environment for
StructureFunction
Analysis and Drug Discovery, Journal of Computer-Aided
Molecular Design, 18 (2004) 401--419.
2005
-
Dawyndt, P., Thompson, F.L., Austin, B., Swings, J., Koski, T., Gyllenberg, M.: Application of sliding window
discretization and minimization of stochastic complexity for the analysisi of FAFLP genotyping fingerprint patterns of
Vibrionaceae, International Journal of Systematic and Evolutionary Microbiology 55 (2005) 57-66.
-
Dawyndt, P., Swings, J., Austin, B., Koski, Thompson, F.L., Gyllenberg, M.:
A complementary approach to systematics, Microbiology Today, February (2005) 38.
-
Geritz, S.A.H. and Gyllenberg M.: Seven answers from adaptive dynamics, Journal of Evolutionary Biology, 18 (2005) 1174-1177.
-
Gyllenberg, M.: Review of "Mathematics in population biology" by Horst R. Thieme, Matematical Biosciences 193 (2005) 13-18.
-
Gyllenberg, M.: Review of "Differential equations and mathematical biology" by D.S. Jones and B.D. Sleeman, Matematical
Biosciences 193 (2005) 19-24.
-
Gyllenberg, M.: Metapopulations, in Branching Processes in Biology:
Variation, Growth, Extinction,
P. Haccou and P. Jagers (Eds.), Cambridge University Press (2005), pp. 249--265.
-
Gyllenberg, M.: About citing and being cited (in Swedish: Om att citera och bli citerad), Arkhimedes, No 2. (2005), 35.
-
Gyllenberg, M.: To publish or not to publish (in Swedish: Att publicera eller inte publicera), Arkhimedes, No 4. (2005), 31.
-
Gyllenberg, M.: Sudoku (in Swedish), Arkhimedes, No 6. (2005), 31.
-
Gyllenberg, M. and Jagers, P.: Branching processes and structured population dynamics, in Branching Processes in Biology:
Variation, Growth, Extinction, P. Haccou and P. Jagers (Eds.), Cambridge University Press (2005), pp. 94--106.
-
Gyllenberg, M. and Meszéna, G.: On the impossibility of coexistence of infinitely many strategies, Journal of
Mathematical Biology, 50 (2005) 133-160.
-
Gyllenberg, M. and Yi Wang: Periodic tridiagonal systems modeling competitive-cooperative ecological interactions,
Discrete and Continuous Dynamical Systems-A, 5 (2005) 511--521.
-
Kisdi, E. and Gyllenberg M.: Adaptive dynamics and the paradigm of diversity, Journal of Evolutionary Biology, 18 (2005) 1170-1173.
-
Meszéna, G., Gyllenberg, M., Jacobs, F.J. and Metz, J.A.J.: Link between population dynamics and dynamics of Darwinian evolution, Physical Review Letters, 95 (2005) 078105.
-
Rantanen, V-V., Gyllenberg, M., Koski, T., and Johnson, M.S.: A priori contact preferences in molecular
recognition, Journal of Bioinformatics and Computational Biology 3 (2005) 861-890.
2006
-
Aittokallio, T., Gyllenberg, M., Polo, O., Toivonen, J. and Virkki, A.: Model-based analysis of mechanisms responsible for
sleep-induced carbon dioxide differences, Bulletin of Mathematical Biology
, 68 (2006) 315-341.
-
Corander, J., Gyllenberg, M. and Koski, T.: Bayesian model learning based on parallel
MCMC strategy, Statistics and Computing, 16 (2006) 355-362.
-
Geritz, S.A.H., Gyllenberg, M. and Yan Ping: Plant growth and the optimal sharing of photosynthetic products with a mycorrhizal
symbiont, Evolutionary Ecology Research, 8 (2006) 677-590.
-
Gyllenberg, M.: Stability and bifurcation analysis of models of physiologically
structured populations, Oberwolfach
Reports 3 (2006) 1450-1452.
-
Gyllenberg, M.: The leaning tower of PISA (in Swedish: Det lutande tornet i PISA), Arkhimedes, No 2. (2006), 27.
-
Gyllenberg, M.: Stupid design (in Swedish: Korkad formgivning), Arkhimedes, No 4. (2006), 31.
-
Gyllenberg, M.: The tragedy of the commons (in Swedish: Allmänningens tragedi), Arkhimedes, No 6. (2006), 27.
-
Gyllenberg, M., Lant, T. and Thieme, H.: Perturbing evolutionary systems on dual spaces by cumulative outputs, Differential and Integral Equations Volume 19 (2006), 401-436.
-
Gyllenberg, M., Ping Yan and Yi Wang: A 3D competitive Lotka-Volterra system with three limit cycles: A falsification of a
conjecture by Hofbauer and So, Applied Mathematics Letters 19 (2006) 1-7.
-
Gyllenberg, M., Ping Yan and Yi Wang: Limit cycles for the competitor-competitor-mutualist Lotka-Volterra systems, Physica D 221 (2006) 135-145.
-
Meszéna, G., Gyllenberg, M., Pásztor, L. and Metz, J.A.J.: Competitive exclusion and limiting similarity: a
unified theory, Theoretical Population Biology 69 (2006) 68-87.
-
Yan, Ping and Gyllenberg, M.: On a Conjecture of Qi-type Integral Inequalities, Journal of Inequalities in Pure and Applied Mathematics, Vol 7, Issue 4, Article 146 (2006).
-
Yan, Ping and Gyllenberg, M.: On an open problem of integral inequalities, Journal of Inequalities in Pure and Applied Mathematics, Volume 7, Issue 5, Article 170 (2006).
2007
-
Aittokallio, T., Gyllenberg, M., Polo, O. and Virkki, A.: Parameter estimation of a gas exchange model from non-invasive carbon dioxide measurements during sleep, Mathematical Medicine and Biology: A Journal of the IMA, 24 (2007) 225-249.
-
Corander, J., Gyllenberg, M. and Koski, T.: Random Partition models and Exchangeability for
Bayesian Identication of Population Structure, Bulletin of Mathematical Biology, 69 (2007) 797-815.
-
Diekmann, O., Getto, Ph. and Gyllenberg, M.: Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars, SIAM Journal on Mathematical Analysis, 39 (2007) 1023-1069.
-
Diekmann, O. and Gyllenberg, M.: Abstract delay equations inspired
by population dynamics, In Functional Analysis and Evolution Equations, H. Amann, W. Arendt, M. Hieber, F. Neubrander, S. Nicaise, J. von Below (Eds.), Birkhäuser (2007) pp. 187-200.
-
Diekmann, O., Gyllenberg, M. and Metz, J.A.J.: Physiologically structured population models: Towards a general mathematical
theory, In: Mathemathics for Ecology and Environmental Sciences,
Y. Takeuchi, Y. Iwasa, K. Sato (Eds.), Springer, Berlin-Heidelberg (2007), 5-20.
-
Fagerholm, H., Gyllenberg, M. and Högnäs, G.: Competition and invasion in stochastic population models, Abo Akademi, Reports on Computer Science & Mathematics, Ser. A, No 191 (2007).
-
Gyllenberg, M.: Mathematical aspects of physiologically structured populations: The contributions of J.A.J. Metz, Journal of Biological Dynamics, 1 (2007), No. 1, 3-44.
-
Gyllenberg, M.: The most mathematical language in the world (in Swedish: Världens matematiskaste språk), Arkhimedes, No 2. (2007), 35.
-
Gyllenberg, M: Success stories in biomathematics (in Finnish: Biomatematiikan menestystarinoita), Arkhimedes, No 3. (2007), 26-28.
-
Gyllenberg, M.: Where do we put the limit?(In Swedish: Var skall man dra gränsen?), Arkhimedes, No 4. (2007), 31.
-
Gyllenberg, M.: Does modelling of complex biological systems require new types of mathematics? In Systems Biology: a Grand Challenge for Europe, R. van Driel (Ed.), European Science Foundation, IREG, Strasbourg, pp. 16-19.
-
Simeonov, I., Noykova, N., and Gyllenberg, M.: Identification and extremum seeking control of the anaerobic digestion of organic wastes, Cybernetics and Information Technologies, 7 (2007) 73-84.
-
Virkki, A., Polo, Gyllenberg, M., Aittokallio, T.: Can carotoid body perfusion act as a respiratory controller?, Journal of Theoretical Biology, 249 (2007) 737-748.
2008
-
Diekmann, O. and Gyllenberg, M.: The second half - with a quarter of a century delay, Mathematical Modelling of Natural Phenomena 3 (2008) 36-48.
-
Gyllenberg, M.: Free access - for everyone (in Swedish: Fri tillgång - för alla), Yliopisto, No 3. (2008), 57.
-
Gyllenberg, M.: Names, too, can be translated (in Swedish: Också namn kan översättas), Arkhimedes, No 2. (2008), 35.
-
Gyllenberg, M.: Rolls and biographies (in Swedish: Matriklar och biografier), Arkhimedes, No 4. (2008), 35.
-
Gyllenberg, M.: Evolutionary suicide, ERCIM News 73 (2008), 18.
-
Gyllenberg, M.: A letter means so much... (in Swedish: Ett brev betyder så mycket...), Arkhimedes, No 6. (2008), 35.
-
Gyllenberg, M., Kisdi, E. and Utz, M: Evolution of condition-dependent dispersal under kin competition, Journal of Mathematical Biology, 57 (2008) 285-307
-
Gyllenberg, M. and Silvestrov, D.S.: Quasi-Stationary Phenomena in Nonlinearly Perturbed Stochastic Systems, Walter de Gruyter, Berlin - New York, 2008. 579+ix pages.
-
Nurmi, T., Geritz, S., Parvinen, K. and Gyllenberg, M.: Evolution of specialization on resource utilization in structured metapopulations, Journal of Biological Dynamics, 3 (2008) 297-322.
-
Virkki, A., Polo, O., Saaresranta, T., Laapotti-Salo, A., Gyllenberg, M., Aittokallio, T.: Overnight features of transcutaneous carbon dioxide
measurement as predictors of individual metabolic
status, Artificial Intelligence in Medicine, 42 (2008) 55-65.
2009
-
Corander, J., Gyllenberg, M. and Koski, T.: Bayesian unsupervised classification framework based on stochastic
partitions
of data and a parallel search strategy, Advances in Data Analysis and Classification, 3 (2009) 217-243.
-
Geritz, S.A.H., Gyllenberg, M. and Ondracek, P.: Evolution of density-dependent dispersal in a structured metapopulation, Mathematical Biosciences, 219 (2009) 142-148.
-
Gyllenberg, M.: Equations with infinite delay, Oberwolfach
Reports 6 (2009) 1350-1352.
-
Gyllenberg, M.: Everyday mathematics (in Swedish: Vardagsmatematik), Yliopisto, No 2. (2009), 37.
-
Gyllenberg, M.: The blackboard -- and the smartboard (in Swedish: Svarta tavlan -- och den smarta), Yliopisto, No 9. (2009), 54.
-
Gyllenberg, M.: The herbarium contains much more than plants (in Swedish: Herbariet rymmer inte bara växter), Arkhimedes, No 4. (2009), 31.
-
Gyllenberg, M., Langlais, M., Milner, F. (Eds.): Special issue: Mathematics in Biointeractions, Journal of Theoretical Biology, 258 (2009) 337-488.
-
Gyllenberg, M., Preoteasa, D. and Yan, Ping: Ecology and evolution of symbiosis in metapopulations, Journal of Biological Dynamics, 3 (2009) 39-57.
-
Gyllenberg, M. and Yan, Ping: On the number of limit cycles for three dimensional Lotka-Volterra systems, Discrete and Continuous Dynamical Systems - B 11 (2009) 347-352
-
Gyllenberg, M. and Yan, Ping: New conditions for the intersection of orbits with the vertical isocline of the Liénard system, Mathematical and Computer Modelling, 49 (2009) 906 - 911.
-
Gyllenberg, M. and Yan, Ping: Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle, Computers and Mathematics with Applications, 58 (2009) 649-669.
-
Gyllenberg, M. and Yan, Ping: On a conjecture for three-dimensional competitive Lotka-Volterra systems with a heteroclinic cycle, Differential Equations and Applications, 1 (2009) 473-490.
2010
-
Corander, J., Gyllenberg, M. and Koski, T.: Learning genetic population structures using minimization of
stochastic complexity, Entropy, 12 (2010) 1102-1124.
-
Diekmann, O., Gyllenberg, M., Metz, J.A.J.,
Nakaoka, S.,
de Roos, A.M.: Daphnia revisited: local stability and bifurcation
theory for physiologically structured population models
explained by way of an example, Journal of Mathematical Biology, 61 (2010) 277-318. DOI: 10.1007/s00285-009-0299-y
2011
-
Cao, Feng, Gyllenberg, M., and Wang, Yi: Asymptotic behavior of comparable skew-product semiflows with applications, Proceedings of the London Mathematical Society 103 (2011) 271 - 293.
-
Eskola, H., Geritz, S. and Gyllenberg, M.: On the evolution of the timing of reproduction with non-equilibrium resident dynamics, Bulletin of Mathematical Biology, 73 (2011) 1312-1332.
-
Gyllenberg, M. and Service, R.: Necessary and sufficient conditions for the existence of an optimisation principle in evolution, Journal of Mathematical Biology, 62 (2011) 359-369.
-
Gyllenberg, M., Kisdi, E., and Utz, M.: Variability within families and the evolution of body condition
dependent dispersal, Journal of Biological Dynamics 5 (2011) 191-211.
-
Gyllenberg, M., Kisdi, E., and Utz, M.: Body Condition Dependent Dispersal in a Heterogeneous Environment, Theoretical Population Biology, 79 (2011) 139-154.
-
Gyllenberg, M., Metz, J. A. and Service, R.:
When do optimisation arguments make evolutionary sense? In
The Mathematics of Darwins Legacy. Chalub, F.A.C.C and Rodrigues, J.R. (eds.), Birkhäuser, Springer Basel, (2011) 233 - 268.
2012
-
Barabas, G., Pigolotti, S, Gyllenberg, M., Dieckmann, U., Meszena, G.: Continuous coexistence or discrete species? A new review of an old question, Evolutionary Ecology Research, 14 (2012) 523-554.
-
Diekmann, O. and Gyllenberg, M.: Equations with infinite delay: blending the abstract and the concrete, Journal of Differential Equations, 252 (2012) 819-851, doi:10.1016/j.jde.2011.09.038.
-
Geritz, S. and Gyllenberg, M.: A mechanistic derivation of the
DeAngelis-Beddington functional response, Journal of Theoretical Biology, 314 (2012) 106-108. DOI: 10.1016/j.jtbi.2012.08.030
-
Gyllenberg, M., Pasic, M., Rakotoson, J-M.: In honor of Professor Jesus Ildefonso Diaz on the occasion of his 60th birthday, Differential Equations and Applications 4 (2012) 1-2.
-
Gyllenberg, M., Liu, X. and Yan, Ping: An eco-epidemiological model in two competing species, Differential Equations and Applications, 4 (2012) 495-519.
-
Kisdi, E., Utz, M. and Gyllenberg, M.: Evolution of condition-dependent dispersal, in Dispersal and Spatial Evolutionary Ecology, Clobert, J., Baguette, M., Benton, T. and Bullock, J. (eds.). Oxford University Press, (2012), 139-151.
2013
- Aminoff, E.-I. and Gyllenberg, M.: A life in science and society - A bibliography of Helge Gyllenberg 1945-2013, Unigrafia Oy, Helsinki, 2013. 81 pages. ISBN 978-952-10-9678-5 (paperback),
ISBN 978-952-10-9679-2 (PDF).
-
Fang, Chun, Gyllenberg, Mats, and Wang, Yi: Floquet bundles for tridiagonal
competitive-cooperative systems and the dynamics of time-recurrent systems, SIAM Journal on Mathematical Analysis, 45 (2013) 2477-2498.
-
Gyllenberg, M.: In honour of Odo Diekmann on the occasion of his 65th birthday, Journal of Mathematical Biology 66 (2013), 631-634 DOI: 10.1007/s00285-013-0641-2.
-
Geritz, S. and Gyllenberg, M.: Group defence and the predator's functional response, Journal of Mathematical Biology 66 (2013) 705-717 DOI 10.1007/s00285-012-0617-7 .
-
Numminen, E., Lu Cheng, L., Gyllenberg, M., Corander, J.: Estimating the transmission dynamics of Streptococcus pneumoniae
from strain prevalence data, Biometrics 69 (2013) 748-757.
2014
-
Geritz, S.A.H. and Gyllenberg, M.: The DeAngelis-Beddington functional response and the evolution of timidity of the prey, Journal of Theoretical Biology, 359 (2014) 37-44.
2015
-
Fang, Chun, Gyllenberg, Mats, and Wang, Yi: Non-hyperbolic minimal sets for tridiagonal competitive-cooperative systems, Proceedings of the American Mathematical Society, 143 (2015) 3063-3074, DOI:10.1090/S0002-9939-2015-12536-1.
-
Fortelius, M., Geritz, S., Gyllenberg, M., Toivonen, J.: Adaptive dynamics on an environmental gradient that changes over a geological time-scale, Journal of Theoretical Biology, 376 (2015) 91-104.
-
Fortelius, M., Geritz, S., Gyllenberg, M., Raia, P., Toivonen, J.: Modeling the population-level processes of biodiversity gain and loss at geological time
scales, American Naturalist 186 (2015) 742–754.
-
Priklopil, T., Kisdi, E., and Gyllenberg, M.: Evolutionarily stable mating decisions for sequentially searching females and the stability of reproductive isolation by assortative
mating, Evolution 69 (2015) 1015-1026.
2016
-
Breda, D., Diekmann, O., Gyllenberg, M., Scarabel, F., and Vermiglio, R.: Pseudospectral discretization of nonlinear delay equations: new prospects for
numerical bifurcation analysis, SIAM Journal on Applied Dynamical Systems, 15 (2016)
1–23.
-
Cao, Feng, Gyllenberg, Mats and Wang, Yi: Group Actions on Monotone Skew-Product
Semiflows with Applications, Journal of the European Mathematical Society 18 (2016) 195-223.
-
Gyllenberg, Mats, Kisdi, Eva, and Weigang, Helene C.:On the evolution of patch-type dependent immigration, Journal of Theoretical Biology 395 (2016) 115-125.
2017
-
Gyllenberg, M.: Helge Gyllenberg - Minnestal hållet vid Finska Vetenskaps-Societetens sammanträde den 20 februari 2017, SPHINX Yearbook 2016 - 2017, Societas Scientiarum Fennica, Helsinki, (2017) 131 - 135.
-
Gyllenberg, M., Hanski, I. and Lindström T.: Conditional reproductive
strategies
under variable environmental conditions, Annales Zoologici Fennici, 54 (2017) 193-204.
2018
-
Carrillo, J.A. and Gyllenberg, M.: Year of Mathematical Biology 2018, European Communications in Mathematical and Theoretical Biology, 21 (2018) 14-15.
-
Diekmann, O., Gyllenberg, M., Metz, J.A.J.: Finite dimensional state representation of linear and nonlinear delay systems, Journal of Dynamics and Differential Equations, 30 (2018)1439-1467.
-
Geritz, S., Gyllenberg, M., and Toivonen, J.:Adaptive correlations between seed size and germination time, Journal of Mathematical Biology, 77 (2018) 1943-1968.
-
Gyllenberg, M., Jiang, J., Niu, L. and Yan, P.: On the classification of
generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex, Discrete Contin. Dyn. Syst., 38 (2018) 615-650.
-
Gyllenberg, M., Scarabel, F. and Vermiglio, R.: Equations with infinite delay: numerical bifurcation analysis
via pseudospectral discretization, Applied Mathematics and Computation, 333 (2018) 490-505.
2019
-
Gyllenberg, M., Jiang, J., and Niu, L.: A note on global stability of three-dimensional Ricker models, Journal of Difference Equations and Applications, 25 (2019) 142-150.
-
Gyllenberg, M., Jiang, J., Niu, L. and Yan, P.: On the dynamics of multi-species Ricker models admitting a carrying simplex, Journal of Difference Equations and Applications, 25 (2019) 1489-1530.
-
Getto, Ph., Gyllenberg, M., Nakata, Y., and Scarabel, F.: Stability analysis of a state-dependent delay differential equation for cell maturation:
Analytical and numerical methods. Journal of Mathematical Biology, 79 (2019) 281-328.
DOI:10.1007/s00285-019-01357-0
2020
-
Berardo, C., Geritz, S., Gyllenberg, M., Raoul, G.: Interactions between different predator-prey states: A method for the derivation of the functional and numerical
response, Journal of Mathematical Biology, 80 (2020) 2431-2468.
-
Diekmann, O., Gavrilets, S., Gyllenberg, M., Levin, S. Lewis, M.: Special issue of the Journal of Mathematical Biology to honor Alan Hastings' 65th birthday, Journal of Mathematical Biology, 80 (2020) 1-2.
-
Diekmann, O., Gyllenberg, M., Metz, J.A.J.:On models of physiologically structured populations and their reduction to ODEs, Journal of Mathematical Biology, 80 (2020) 189-204.
-
Diekmann, O., Gyllenberg, M., Metz, J.A.J.:Finite dimensional state representation of physiologically structured populations, Journal of Mathematical Biology, 80 (2020) 205-273.
-
Gyllenberg, M., Jiang, J., Niu, L.: Chaotic attractors in the four-dimensional Leslie-Gower competition model, Physica D: Nonlinear Phenomena 40 (2020)132186.
-
Gyllenberg, M., Jiang, J., Niu, L.: Chaotic attractors in Atkinson-Allen model of four competing species, Journal of Biological Dynamics, 14 (2020) 440-453.
-
Gyllenberg, M., Jiang, J., Niu, L., Yan, P.: Permanence and universal classification for discrete-time competitive systems via the carrying simplex, Discrete and continuous dynamical systems, 40 (2020) 1621-1663.
-
Kisdi, Eva, Weigang, Helene C. and Gyllenberg, Mats: The Evolution of Immigration Strategies Facilitates Niche Expansion by Divergent Adaptation in a Structured Metapopulation Model, The American Naturalist, 195 (2020)1-15.
2021
-
Scarabel, F., Breda, D., Diekmann, O., Gyllenberg, M. and Vermiglio, R.: Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation, Vietnam Journal of Mathematics, 49 (2021) 37-67.
-
Franco, E., Gyllenberg, M., Diekmann, O.: One Dimensional Reduction of a Renewal Equation for a Measure-Valued Function of Time Describing Population Dynamics, Acta Applicandae Mathematicae, 175 (2021) 12.
2023
-
Franco, E., Diekmann, O. Gyllenberg, M.: Modelling physiologically structured pop- ulations: renewal equations and partial differential equations, Journal of Evolution Equations, 23 (2023) 46.
-
Gyllenberg,M: Olli Lehto — Muistopuhe Suomen Tiedeseuran kokouksessa 16. toukokuuta 2022, pp. 154-158 in J. Janhunen (ed.): SPHINX Yearbook 2022 - 2023, Societas Scientiarum Fennica, Helsinki 2023.
2024
-
Gyllenberg,M: Pirjo Sewón — Muistopuhe Suomen Tiedeseuran kokouksessa 15. tammikuuta 2023, pp. 130-132 in J. Janhunen (ed.): SPHINX Yearbook 2023 - 2024, Societas Scientiarum Fennica, Helsinki 2024.
-
Bengmark, S., Gyllenberg, M., Klefbäck, I., Nordén, B.: När lärare premieras måste fokus vara på
undervisningsförmåga, Göteborgs-Posten, 20 november 2024.
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