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Gyllenberg, Mats

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Author ID: gyllenberg.mats Recent zbMATH articles by "Gyllenberg, Mats"
Published as: Gyllenberg, M.; Gyllenberg, Mats
External Links: MGP · Wikidata · dblp
Documents Indexed: 136 Publications since 1981, including 2 Books
Biographic References: 1 Publication
all top 5

Co-Authors

7 single-authored
28 Diekmann, Odo
15 Koski, Timo J. T.
15 Yan, Ping
14 Metz, Johan A. Jacob
13 Thieme, Horst R.
10 Geritz, Stefan A. H.
9 Wang, Yi
8 Jiang, Jifa
7 Heijmans, Henk J. A. M.
6 Aittokallio, Tero
6 Niu, Lei
6 Polo, Olli
6 Silvestrov, Dmitrii
5 Clément, Philippe J. E.
5 Kisdi, Éva
4 Corander, Jukka
4 Hanski, Ilkka A.
4 Lund, Tatu
4 Parvinen, Kalle
4 Scarabel, Francesca
4 Utz, Margarete
4 Webb, Glenn Francis
3 de Roos, André M.
3 Osipov, Alexandr V.
3 Toivonen, Jaakko
3 Verlaan, Martin
3 Vermiglio, Rossana
3 Virkki, Arho
2 Breda, Dimitri
2 Cao, Feng
2 Fang, Chun
2 Getto, Philipp
2 Gyllenberg, Helge G.
2 Hognas, Goran
2 Jacobs, F. J. A.
2 Lindström, Torsten
2 Meszéna, Géza
2 Nakaoka, Shinji
2 Nevalainen, Olli S.
2 Osipov, Andreĭ V.
2 Päivärinta, Lassi
2 Preoteasa, Diana
2 Reilink, Edwin
2 Service, Robert
2 Söderbacka, Gunnar
1 Agur, S.
1 Austin, Brian
1 Berardo, Cecilia
1 Cheng, Lu
1 Christensen, Bent Jesper
1 Cushing, Jim M.
1 Dawyndt, Peter
1 Dieckmann, O.
1 Dieckmann, Ulf
1 Ericsson, Stefan
1 Eskola, Hanna T. M.
1 Fortelius, Mikael
1 Gavrilets, Sergey
1 Heesterbeek, Hans
1 Hemminki, J.
1 Huang, Haijing
1 Jagers, Peter
1 Kimmel, Marek
1 Kirkilionis, Markus A.
1 Kostova, Tanya V.
1 Lant, Timothy
1 Leonardsson, Kjell
1 Levin, Simon Asher
1 Lewis, Mark E.
1 Liu, Xiaoli
1 Mannila, Heikki
1 Meek, Christopher
1 Milner, Fabio Augusto
1 Müller, T. G.
1 Nakata, Yukihiko
1 Noykova, N.
1 Numminen, Elina
1 Nurmi, Tuomas
1 Ondráček, Petr
1 Pásztor, Liz
1 Persson, Lars-Erik
1 Persson, Lennart
1 Ping, Yan
1 Raoul, Gaël
1 Saikkonen, Kari
1 Swings, Jean
1 Tammaru, T.
1 Thompson, Fabiano L.
1 Timmer, Jens
1 Weigang, Helene C.
all top 5

Serials

24 Journal of Mathematical Biology
9 Mathematical Biosciences
9 Bulletin of Mathematical Biology
8 Theoretical Population Biology
5 Journal of Biological Dynamics
5 Journal of Theoretical Biology
3 Journal of Mathematical Analysis and Applications
3 Differential and Integral Equations
3 SIAM Journal on Mathematical Analysis
3 Discrete and Continuous Dynamical Systems
2 Differential Equations
2 Journal of Differential Equations
2 Proceedings of the American Mathematical Society
2 Physica D
2 Journal of Difference Equations and Applications
2 JIPAM. Journal of Inequalities in Pure & Applied Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Differential Equations and Applications
1 Computers & Mathematics with Applications
1 Applied Mathematics and Computation
1 Biometrics
1 International Statistical Review
1 Journal of Applied Probability
1 Journal of Multivariate Analysis
1 Mathematische Annalen
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the London Mathematical Society. Third Series
1 Semigroup Forum
1 Insurance Mathematics & Economics
1 Journal of Classification
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 Stochastic Processes and their Applications
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Archives of Control Sciences
1 Vietnam Journal of Mathematics
1 Journal of Theoretical Medicine
1 PAA. Pattern Analysis and Applications
1 Journal of the European Mathematical Society (JEMS)
1 Theory of Stochastic Processes
1 Journal of Evolution Equations
1 Entropy
1 SIAM Journal on Applied Dynamical Systems
1 Mathematical Medicine and Biology
1 De Gruyter Expositions in Mathematics
1 Lecture Notes in Pure and Applied Mathematics
1 Advances in Data Analysis and Classification. ADAC
1 Mathematical Modelling of Natural Phenomena

Publications by Year

Citations contained in zbMATH Open

112 Publications have been cited 1,509 times in 806 Documents Cited by Year
On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. Zbl 1028.92019
Diekmann, O.; Gyllenberg, M.; Huang, H.; Kirkilionis, M.; Metz, J. A. J.
88
2001
On the formulation and analysis of general deterministic structured population models. I: Linear theory. Zbl 0909.92023
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst R.
80
1998
Steady-state analysis of structured population models. Zbl 1098.92062
Diekmann, O.; Gyllenberg, M.; Metz, J. A. J.
67
2003
Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. Zbl 1149.39021
Diekmann, Odo; Getto, Philipp; Gyllenberg, Mats
56
2007
Invasion dynamics and attractor inheritance. Zbl 0990.92029
Geritz, S. A. H.; Gyllenberg, M.; Jacobs, F. J. A.; Parvinen, K.
55
2002
Does migration stabilize local population dynamics? Analysis of a discrete metapopulation model. Zbl 0784.92019
Gyllenberg, Mats; Söderbacka, Gunnar; Ericsson, Stefan
54
1993
A nonlinear structured population model of tumor growth with quiescence. Zbl 0744.92026
Gyllenberg, M.; Webb, G. F.
49
1990
Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example. Zbl 1208.92082
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Nakaoka, Shinji; de Roos, Andre M.
41
2010
On fitness in structured metapopulations. Zbl 0995.92034
Gyllenberg, Mats; Metz, J. A. J.
39
2001
Competitive exclusion and limiting similarity: A unified theory. Zbl 1085.92048
Meszéna, Géza; Gyllenberg, Mats; Pásztor, Liz; Metz, Johan A. J.
37
2006
A 3D competitive Lotka-Volterra system with three limit cycles: a falsification of a conjecture by Hofbauer and So. Zbl 1085.34025
Gyllenberg, Mats; Yan, Ping; Wang, Yi
34
2006
Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133
Diekmann, Odo; Gyllenberg, Mats
33
2012
Age-size structure in populations with quiescence. Zbl 0632.92014
Gyllenberg, M.; Webb, G. F.
33
1987
Necessary and sufficient conditions for evolutionary suicide. Zbl 1323.92141
Gyllenberg, Mats; Parvinen, Kalle
32
2001
Single-species metapopulation dynamics: A structured model. Zbl 0758.92011
Gyllenberg, Mats; Hanski, Ilkka
32
1992
Perturbation theory for dual semigroups. I. The sun-reflexive case. Zbl 0634.47039
Clément, Ph.; Diekmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R.
31
1987
Evolutionary suicide and evolution of dispersal in structured metapopulations. Zbl 1014.92025
Gyllenberg, Mats; Parvinen, Kalle; Dieckmann, Ulf
29
2002
Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle. Zbl 1189.34080
Gyllenberg, Mats; Yan, Ping
22
2009
A mechanistic derivation of the DeAngelis-Beddington functional response. Zbl 1397.92571
Geritz, Stefan; Gyllenberg, Mats
21
2012
Habitat deterioration, habitat destruction, and metapopulation persistence in a heterogeneous landscape. Zbl 0890.92022
Gyllenberg, Mats; Hanski, Ilkka
21
1997
An abstract delay-differential equation modelling size dependent cell growth and division. Zbl 0634.34064
Gyllenberg, M.; Heijmans, H. J. A. M.
20
1987
Abstract delay equations inspired by population dynamics. Zbl 1167.47058
Diekmann, Odo; Gyllenberg, Mats
19
2008
On the impossibility of coexistence of infinitely many strategies. Zbl 1080.92060
Gyllenberg, Mats; Meszéna, Géza
19
2005
Allee effects can both conserve and create spatial heterogeneity in population densities. Zbl 0962.92038
Gyllenberg, M.; Hemminki, J.; Tammaru, T.
19
1999
Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis. Zbl 1352.34101
Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R.
18
2016
Quasi-stationary phenomena in nonlinearity perturbed stochastic systems. Zbl 1175.60002
Gyllenberg, Mats; Silvestrov, Dmitrii S.
18
2008
Quasi-stationary distributions of a stochastic metapopulation model. Zbl 0816.92016
Gyllenberg, Mats; Silvestrov, Dmitrij S.
18
1994
Bifurcation analysis of a metapopulation model with sources and sinks. Zbl 0927.37028
Gyllenberg, M.; Osipov, A. V.; Söderbacka, G.
17
1996
Asynchronous exponential growth of semigroups of nonlinear operators. Zbl 0818.47064
Gyllenberg, M.; Webb, G. F.
17
1992
Perturbation theory for dual semigroups. II: Time-dependent perturbations in the sun-reflexive case. Zbl 0661.47015
Clément, Ph.; Diekmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R.
17
1988
Nonlinear age-dependent population dynamics in continuously propagated bacterial cultures. Zbl 0495.92017
Gyllenberg, Mats
16
1982
Continuous versus discrete single species population models with adjustable reproductive strategies. Zbl 0903.92019
Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten
15
1997
Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems. Zbl 1111.34027
Gyllenberg, Mats; Yan, Ping; Wang, Yi
14
2006
The inverse problem of linear age-structured population dynamics. Zbl 1054.35128
Gyllenberg, Mats; Osipov, Andrei; Päivärinta, Lassi
14
2002
Necessary and sufficient conditions for the existence of an optimisation principle in evolution. Zbl 1232.92059
Gyllenberg, Mats; Service, Robert
13
2011
On the number of limit cycles for three dimensional Lotka-Volterra systems. Zbl 1163.34337
Gyllenberg, Mats; Yan, Ping
13
2009
Ontogenetic scaling of foraging rates and the dynamics of a size-structured consumer-resource model. Zbl 0954.92032
Persson, Lennart; Leonardsson, Kjell; de Roos, André M.; Gyllenberg, Mats; Christensen, Bent
13
1998
A predator-prey model with optimal suppression of reproduction in the prey. Zbl 0851.92020
Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten
13
1996
Non-uniqueness in probabilistic numerical identification of bacteria. Zbl 0817.92002
Gyllenberg, Mats; Koski, Timo; Reilink, Edwin; Verlaan, Martin
13
1994
The size and scar distributions of the yeast Saccharomyces cerevisiae. Zbl 0593.92016
Gyllenberg, Mats
13
1986
Population models with environmental stochasticity. Zbl 0799.92021
Gyllenberg, Mats; Högnäs, Göran; Koski, Timo
11
1994
Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
11
1993
Stability of a nonlinear age-dependent population model containing a control variable. Zbl 0528.92017
Gyllenberg, Mats
11
1983
Dynamics of the periodic type-\(K\) competitive Kolmogorov systems. Zbl 1064.34031
Gyllenberg, Mats; Wang, Yi
10
2004
On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex. Zbl 1381.37030
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping
9
2018
Group defence and the predator’s functional response. Zbl 1258.92035
Geritz, S. A. H.; Gyllenberg, M.
9
2013
Evolution of condition-dependent dispersal under kin competition. Zbl 1141.92030
Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete
9
2008
Mathematical aspects of physiologically structured populations: The contributions of J. A. J. Metz. Zbl 1255.01017
Gyllenberg, Mats
9
2007
When do optimisation arguments make evolutionary sense? Zbl 1379.92037
Gyllenberg, Mats; Metz, J. A. J. (Hans); Service, Robert
8
2011
Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
8
2000
Quiescence in structured population dynamics. Applications to tumor growth. Zbl 0751.92008
Gyllenberg, Mats; Webb, Glenn F.
8
1991
A note on global stability of three-dimensional Ricker models. Zbl 1406.37063
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei
7
2019
Erratum to: “Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example”. Zbl 1403.92324
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Nakaoka, Shinji; de Roos, André M.
7
2017
Floquet bundles for tridiagonal competitive-cooperative systems and the dynamics of time-recurrent systems. Zbl 1283.37032
Fang, Chun; Gyllenberg, Mats; Wang, Yi
7
2013
Bayesian unsupervised classification framework based on stochastic partitions of data and a parallel search strategy. Zbl 1231.62031
Corander, Jukka; Gyllenberg, Mats; Koski, Timo
7
2009
Nonlinearly perturbed regenerative processes and pseudo-stationary phenomena for stochastic systems. Zbl 1028.60067
Gyllenberg, Mats; Silvestrov, Dmitrii S.
7
2000
Cramér-Lundberg approximation for nonlinearly perturbed risk processes. Zbl 0956.91044
Gyllenberg, Mats; Silvestrov, Dmitrii S.
7
2000
The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021
Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst
7
1993
A Hille-Yosida theorem for a class of weakly \({}^*\) continuous semigroups. Zbl 0727.47025
Clément, Ph.; Dieckmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R.
7
1989
Perturbation theory for dual semigroups. III: Nonlinear Lipschitz continuous perturbations in the sunreflexive. Zbl 0675.47036
Clément, Ph.; Diekmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R.
7
1989
Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.
6
2018
Variability within families and the evolution of body-condition-dependent dispersal. Zbl 1403.92176
Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete
6
2011
On a conjecture by Yang. Zbl 1028.26014
Gyllenberg, Mats; Yan, Ping
6
2001
Quasi-stationary phenomena for semi-Markov processes. Zbl 0966.60086
Gyllenberg, Mats; Silvestrov, Dmitrii S.
6
1999
Classification of binary vectors by stochastic complexity. Zbl 1090.62542
Gyllenberg, Mats; Koski, Timo; Verlaan, Martin
6
1997
Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods. Zbl 07076781
Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca
5
2019
Body condition dependent dispersal in a heterogeneous environment. Zbl 1338.92104
Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete
5
2011
On a conjecture for three-dimensional competitive Lotka-Volterra systems with a heteroclinic cycle. Zbl 1192.34040
Gyllenberg, Mats; Yan, Ping
5
2009
Evolution of density-dependent dispersal in a structured metapopulation. Zbl 1168.92039
Geritz, Stefan A. H.; Gyllenberg, Mats; Ondráček, Petr
5
2009
Evolution of specialization in resource utilization in structured metapopulations. Zbl 1154.92041
Nurmi, Tuomas; Geritz, Stefan; Parvinen, Kalle; Gyllenberg, Mats
5
2008
The qualitative behavior of a second-order system with zero diagonal coefficient. Zbl 1048.34065
Gyllenberg, Mats; Yan, Ping; Jiang, Jifa
5
2004
The generalized Liénard systems. Zbl 1019.34051
Gyllenberg, Mats; Ping, Yan
5
2002
Bayesian predictiveness, exchangeability and sufficientness in bacterial taxonomy. Zbl 1003.62023
Gyllenberg, Mats; Koski, Timo
5
2002
Parameter identification in dynamical models of anaerobic waste water treatment. Zbl 0999.92040
Müller, T. G.; Noykova, N.; Gyllenberg, M.; Timmer, J.
5
2002
Cramér-Lundberg and diffusion approximations for nonlinearly perturbed risk processes including numerical calculation of ruin probabilities. Zbl 0952.60080
Gyllenberg, Mats; Silvestrov, Dmitrii S.
5
1999
Null recurrence in a stochastic Ricker model. Zbl 0802.60059
Gyllenberg, Mats; Högnäs, Göran; Koski, Timo
5
1994
Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019
Diekmann, O.; Gyllenberg, M.; Thieme, H. R.
5
1991
Perturbation theory for dual semigroups. IV: The intertwining formula and the canonical pairing. Zbl 0699.47028
Clément, Philippe; Diekmann, Odo; Gyllenberg, Mats; Heijmans, H. J. A. M.; Thieme, H. R.
5
1989
The age structure of populations of cells reproducing by asymmetric division. Zbl 0569.92019
Gyllenberg, Mats
5
1985
On the dynamics of multi-species Ricker models admitting a carrying simplex. Zbl 1429.37010
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping
4
2019
On the evolution of patch-type dependent immigration. Zbl 1343.92415
Gyllenberg, Mats; Kisdi, Éva; Weigang, Helene C.
4
2016
Estimating the transmission dynamics of Streptococcus pneumoniae from strain prevalence data. Zbl 1418.92186
Numminen, Elina; Cheng, Lu; Gyllenberg, Mats; Corander, Jukka
4
2013
New conditions for the intersection of orbits with the vertical isocline of the Liénard system. Zbl 1176.34034
Gyllenberg, Mats; Yan, Ping
4
2009
Random partition models and exchangeability for Bayesian identification of population structure. Zbl 1141.62310
Corander, Jukka; Gyllenberg, Mats; Koski, Timo
4
2007
Probabilistic models for bacterial taxonomy. Zbl 1180.92004
Gyllenberg, M.; Koski, T.
4
2001
Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
4
1995
Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization. Zbl 1427.65098
Gyllenberg, Mats; Scarabel, Francesca; Vermiglio, Rossana
3
2018
The DeAngelis-Beddington functional response and the evolution of timidity of the prey. Zbl 1412.92258
Geritz, Stefan A. H.; Gyllenberg, Mats
3
2014
On the concept of attractor for community-dynamical processes. II: The case of structured populations. Zbl 1029.92024
Gyllenberg, Mats; Jacobs, F. J. A.; Metz, J. A. J.
3
2003
Bayesian predictive identification and cumulative classification of bacteria. Zbl 1323.92009
Gyllenberg, Mats; Koski, Timo; Lund, Tatu; Gyllenberg, Helge G.
3
1999
Numerical taxonomy and the principle of maximum entropy. Zbl 0868.92002
Gyllenberg, Mats; Koski, Timo
3
1996
Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
2
2020
On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
2
2020
The second half – with a quarter of a century delay. Zbl 1337.92173
Diekmann, O.; Gyllenberg, M.
2
2008
Perturbing evolutionary systems on dual spaces by cumulative outputs. Zbl 1211.47014
Gyllenberg, Mats; Lant, Timothy; Thieme, Horst R.
2
2006
Periodic tridiagonal systems modeling competitive-cooperative ecological interactions. Zbl 1080.34021
Gyllenberg, Mats; Wang, Yi
2
2005
Vertically transmitted symbionts in structured host metapopulations. Zbl 1334.92340
Gyllenberg, Mats; Preoteasa, Diana; Saikkonen, Kari
2
2002
Permanence and universal classification of discrete-time competitive systems via the carrying simplex. Zbl 1432.37116
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping
1
2020
Adaptive dynamics on an environmental gradient that changes over a geological time-scale. Zbl 1347.92063
Fortelius, Mikael; Geritz, Stefan; Gyllenberg, Mats; Toivonen, Jaakko
1
2015
Non-hyperbolic minimal sets for tridiagonal competitive-cooperative systems. Zbl 1358.37042
Fang, Chun; Gyllenberg, Mats; Wang, Yi
1
2015
Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
2
2020
On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
2
2020
Permanence and universal classification of discrete-time competitive systems via the carrying simplex. Zbl 1432.37116
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping
1
2020
A note on global stability of three-dimensional Ricker models. Zbl 1406.37063
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei
7
2019
Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods. Zbl 07076781
Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca
5
2019
On the dynamics of multi-species Ricker models admitting a carrying simplex. Zbl 1429.37010
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping
4
2019
On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex. Zbl 1381.37030
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping
9
2018
Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.
6
2018
Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization. Zbl 1427.65098
Gyllenberg, Mats; Scarabel, Francesca; Vermiglio, Rossana
3
2018
Erratum to: “Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example”. Zbl 1403.92324
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Nakaoka, Shinji; de Roos, André M.
7
2017
Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis. Zbl 1352.34101
Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R.
18
2016
On the evolution of patch-type dependent immigration. Zbl 1343.92415
Gyllenberg, Mats; Kisdi, Éva; Weigang, Helene C.
4
2016
Adaptive dynamics on an environmental gradient that changes over a geological time-scale. Zbl 1347.92063
Fortelius, Mikael; Geritz, Stefan; Gyllenberg, Mats; Toivonen, Jaakko
1
2015
Non-hyperbolic minimal sets for tridiagonal competitive-cooperative systems. Zbl 1358.37042
Fang, Chun; Gyllenberg, Mats; Wang, Yi
1
2015
The DeAngelis-Beddington functional response and the evolution of timidity of the prey. Zbl 1412.92258
Geritz, Stefan A. H.; Gyllenberg, Mats
3
2014
Group defence and the predator’s functional response. Zbl 1258.92035
Geritz, S. A. H.; Gyllenberg, M.
9
2013
Floquet bundles for tridiagonal competitive-cooperative systems and the dynamics of time-recurrent systems. Zbl 1283.37032
Fang, Chun; Gyllenberg, Mats; Wang, Yi
7
2013
Estimating the transmission dynamics of Streptococcus pneumoniae from strain prevalence data. Zbl 1418.92186
Numminen, Elina; Cheng, Lu; Gyllenberg, Mats; Corander, Jukka
4
2013
Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133
Diekmann, Odo; Gyllenberg, Mats
33
2012
A mechanistic derivation of the DeAngelis-Beddington functional response. Zbl 1397.92571
Geritz, Stefan; Gyllenberg, Mats
21
2012
An eco-epidemiological model in two competing species. Zbl 1266.34086
Gyllenberg, Mats; Liu, Xiaoli; Yan, Ping
1
2012
Necessary and sufficient conditions for the existence of an optimisation principle in evolution. Zbl 1232.92059
Gyllenberg, Mats; Service, Robert
13
2011
When do optimisation arguments make evolutionary sense? Zbl 1379.92037
Gyllenberg, Mats; Metz, J. A. J. (Hans); Service, Robert
8
2011
Variability within families and the evolution of body-condition-dependent dispersal. Zbl 1403.92176
Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete
6
2011
Body condition dependent dispersal in a heterogeneous environment. Zbl 1338.92104
Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete
5
2011
Body condition dependent dispersal in a heterogeneous environment. Zbl 1403.92325
Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete
1
2011
Asymptotic behaviour of comparable skew-product semiflows with applications. Zbl 1272.37016
Cao, Feng; Gyllenberg, Mats; Wang, Yi
1
2011
On the evolution of the timing of reproduction with non-equilibrium resident dynamics. Zbl 1215.92049
Eskola, Hanna T. M.; Geritz, Stefan A. H.; Gyllenberg, Mats
1
2011
Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example. Zbl 1208.92082
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Nakaoka, Shinji; de Roos, Andre M.
41
2010
Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle. Zbl 1189.34080
Gyllenberg, Mats; Yan, Ping
22
2009
On the number of limit cycles for three dimensional Lotka-Volterra systems. Zbl 1163.34337
Gyllenberg, Mats; Yan, Ping
13
2009
Bayesian unsupervised classification framework based on stochastic partitions of data and a parallel search strategy. Zbl 1231.62031
Corander, Jukka; Gyllenberg, Mats; Koski, Timo
7
2009
On a conjecture for three-dimensional competitive Lotka-Volterra systems with a heteroclinic cycle. Zbl 1192.34040
Gyllenberg, Mats; Yan, Ping
5
2009
Evolution of density-dependent dispersal in a structured metapopulation. Zbl 1168.92039
Geritz, Stefan A. H.; Gyllenberg, Mats; Ondráček, Petr
5
2009
New conditions for the intersection of orbits with the vertical isocline of the Liénard system. Zbl 1176.34034
Gyllenberg, Mats; Yan, Ping
4
2009
Ecology and evolution of symbiosis in metapopulations. Zbl 1155.92040
Gyllenberg, Mats; Preoteasa, Diana; Yan, Ping
1
2009
Abstract delay equations inspired by population dynamics. Zbl 1167.47058
Diekmann, Odo; Gyllenberg, Mats
19
2008
Quasi-stationary phenomena in nonlinearity perturbed stochastic systems. Zbl 1175.60002
Gyllenberg, Mats; Silvestrov, Dmitrii S.
18
2008
Evolution of condition-dependent dispersal under kin competition. Zbl 1141.92030
Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete
9
2008
Evolution of specialization in resource utilization in structured metapopulations. Zbl 1154.92041
Nurmi, Tuomas; Geritz, Stefan; Parvinen, Kalle; Gyllenberg, Mats
5
2008
The second half – with a quarter of a century delay. Zbl 1337.92173
Diekmann, O.; Gyllenberg, M.
2
2008
Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. Zbl 1149.39021
Diekmann, Odo; Getto, Philipp; Gyllenberg, Mats
56
2007
Mathematical aspects of physiologically structured populations: The contributions of J. A. J. Metz. Zbl 1255.01017
Gyllenberg, Mats
9
2007
Random partition models and exchangeability for Bayesian identification of population structure. Zbl 1141.62310
Corander, Jukka; Gyllenberg, Mats; Koski, Timo
4
2007
Competitive exclusion and limiting similarity: A unified theory. Zbl 1085.92048
Meszéna, Géza; Gyllenberg, Mats; Pásztor, Liz; Metz, Johan A. J.
37
2006
A 3D competitive Lotka-Volterra system with three limit cycles: a falsification of a conjecture by Hofbauer and So. Zbl 1085.34025
Gyllenberg, Mats; Yan, Ping; Wang, Yi
34
2006
Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems. Zbl 1111.34027
Gyllenberg, Mats; Yan, Ping; Wang, Yi
14
2006
Perturbing evolutionary systems on dual spaces by cumulative outputs. Zbl 1211.47014
Gyllenberg, Mats; Lant, Timothy; Thieme, Horst R.
2
2006
Model-based analysis of mechanisms responsible for sleep-induced carbon dioxide differences. Zbl 1334.92087
Aittokallio, T.; Gyllenberg, M.; Polo, O.; Toivonen, J.; Virkki, A.
1
2006
On an open problem of integral inequalities. Zbl 1232.26048
Yan, Ping; Gyllenberg, Mats
1
2006
On a conjecture of Qi-type integral inequalities. Zbl 1182.26070
Yan, Ping; Gyllenberg, Mats
1
2006
On the impossibility of coexistence of infinitely many strategies. Zbl 1080.92060
Gyllenberg, Mats; Meszéna, Géza
19
2005
Periodic tridiagonal systems modeling competitive-cooperative ecological interactions. Zbl 1080.34021
Gyllenberg, Mats; Wang, Yi
2
2005
Dynamics of the periodic type-\(K\) competitive Kolmogorov systems. Zbl 1064.34031
Gyllenberg, Mats; Wang, Yi
10
2004
The qualitative behavior of a second-order system with zero diagonal coefficient. Zbl 1048.34065
Gyllenberg, Mats; Yan, Ping; Jiang, Jifa
5
2004
Steady-state analysis of structured population models. Zbl 1098.92062
Diekmann, O.; Gyllenberg, M.; Metz, J. A. J.
67
2003
On the concept of attractor for community-dynamical processes. II: The case of structured populations. Zbl 1029.92024
Gyllenberg, Mats; Jacobs, F. J. A.; Metz, J. A. J.
3
2003
Invasion dynamics and attractor inheritance. Zbl 0990.92029
Geritz, S. A. H.; Gyllenberg, M.; Jacobs, F. J. A.; Parvinen, K.
55
2002
Evolutionary suicide and evolution of dispersal in structured metapopulations. Zbl 1014.92025
Gyllenberg, Mats; Parvinen, Kalle; Dieckmann, Ulf
29
2002
The inverse problem of linear age-structured population dynamics. Zbl 1054.35128
Gyllenberg, Mats; Osipov, Andrei; Päivärinta, Lassi
14
2002
The generalized Liénard systems. Zbl 1019.34051
Gyllenberg, Mats; Ping, Yan
5
2002
Bayesian predictiveness, exchangeability and sufficientness in bacterial taxonomy. Zbl 1003.62023
Gyllenberg, Mats; Koski, Timo
5
2002
Parameter identification in dynamical models of anaerobic waste water treatment. Zbl 0999.92040
Müller, T. G.; Noykova, N.; Gyllenberg, M.; Timmer, J.
5
2002
Vertically transmitted symbionts in structured host metapopulations. Zbl 1334.92340
Gyllenberg, Mats; Preoteasa, Diana; Saikkonen, Kari
2
2002
Adjustment of the human respiratory system to increased upper airway resistance during sleep. Zbl 1334.92086
Aittokallio, T.; Gyllenberg, M.; Polo, O.
1
2002
On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. Zbl 1028.92019
Diekmann, O.; Gyllenberg, M.; Huang, H.; Kirkilionis, M.; Metz, J. A. J.
88
2001
On fitness in structured metapopulations. Zbl 0995.92034
Gyllenberg, Mats; Metz, J. A. J.
39
2001
Necessary and sufficient conditions for evolutionary suicide. Zbl 1323.92141
Gyllenberg, Mats; Parvinen, Kalle
32
2001
On a conjecture by Yang. Zbl 1028.26014
Gyllenberg, Mats; Yan, Ping
6
2001
Probabilistic models for bacterial taxonomy. Zbl 1180.92004
Gyllenberg, M.; Koski, T.
4
2001
A model of a snorer’s upper airway. Zbl 0974.92007
Aittokallio, Tero; Gyllenberg, Mats; Polo, Olli
1
2001
Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
8
2000
Nonlinearly perturbed regenerative processes and pseudo-stationary phenomena for stochastic systems. Zbl 1028.60067
Gyllenberg, Mats; Silvestrov, Dmitrii S.
7
2000
Cramér-Lundberg approximation for nonlinearly perturbed risk processes. Zbl 0956.91044
Gyllenberg, Mats; Silvestrov, Dmitrii S.
7
2000
Allee effects can both conserve and create spatial heterogeneity in population densities. Zbl 0962.92038
Gyllenberg, M.; Hemminki, J.; Tammaru, T.
19
1999
Quasi-stationary phenomena for semi-Markov processes. Zbl 0966.60086
Gyllenberg, Mats; Silvestrov, Dmitrii S.
6
1999
Cramér-Lundberg and diffusion approximations for nonlinearly perturbed risk processes including numerical calculation of ruin probabilities. Zbl 0952.60080
Gyllenberg, Mats; Silvestrov, Dmitrii S.
5
1999
Bayesian predictive identification and cumulative classification of bacteria. Zbl 1323.92009
Gyllenberg, Mats; Koski, Timo; Lund, Tatu; Gyllenberg, Helge G.
3
1999
Epidemiology, cellular automata, and evolution. Part 1: Selected papers of the proceedings of the conference on deterministic and stochastic modelling of biological interaction (DESTOBIO ’97). Sofia, Bulgaria, August 28–31, 1997. Zbl 0932.00079
Agur, S. (ed.); Cushing, J. (ed.); Diekmann, O. (ed.); Gyllenberg, M. (ed.); Heesterbeek, H. (ed.); Jagers, P. (ed.); Kimmel, M. (ed.); Kostova, T. V. (ed.); Milner, F. (ed.)
1
1999
On the formulation and analysis of general deterministic structured population models. I: Linear theory. Zbl 0909.92023
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst R.
80
1998
Ontogenetic scaling of foraging rates and the dynamics of a size-structured consumer-resource model. Zbl 0954.92032
Persson, Lennart; Leonardsson, Kjell; de Roos, André M.; Gyllenberg, Mats; Christensen, Bent
13
1998
Habitat deterioration, habitat destruction, and metapopulation persistence in a heterogeneous landscape. Zbl 0890.92022
Gyllenberg, Mats; Hanski, Ilkka
21
1997
Continuous versus discrete single species population models with adjustable reproductive strategies. Zbl 0903.92019
Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten
15
1997
Classification of binary vectors by stochastic complexity. Zbl 1090.62542
Gyllenberg, Mats; Koski, Timo; Verlaan, Martin
6
1997
Bifurcation analysis of a metapopulation model with sources and sinks. Zbl 0927.37028
Gyllenberg, M.; Osipov, A. V.; Söderbacka, G.
17
1996
A predator-prey model with optimal suppression of reproduction in the prey. Zbl 0851.92020
Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten
13
1996
Numerical taxonomy and the principle of maximum entropy. Zbl 0868.92002
Gyllenberg, Mats; Koski, Timo
3
1996
Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
4
1995
Quasi-stationary distributions of a stochastic metapopulation model. Zbl 0816.92016
Gyllenberg, Mats; Silvestrov, Dmitrij S.
18
1994
Non-uniqueness in probabilistic numerical identification of bacteria. Zbl 0817.92002
Gyllenberg, Mats; Koski, Timo; Reilink, Edwin; Verlaan, Martin
13
1994
Population models with environmental stochasticity. Zbl 0799.92021
Gyllenberg, Mats; Högnäs, Göran; Koski, Timo
11
1994
Null recurrence in a stochastic Ricker model. Zbl 0802.60059
Gyllenberg, Mats; Högnäs, Göran; Koski, Timo
5
1994
Does migration stabilize local population dynamics? Analysis of a discrete metapopulation model. Zbl 0784.92019
Gyllenberg, Mats; Söderbacka, Gunnar; Ericsson, Stefan
54
1993
Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
11
1993
The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021
Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst
7
1993
Single-species metapopulation dynamics: A structured model. Zbl 0758.92011
Gyllenberg, Mats; Hanski, Ilkka
32
1992
Asynchronous exponential growth of semigroups of nonlinear operators. Zbl 0818.47064
Gyllenberg, M.; Webb, G. F.
17
1992
Quiescence in structured population dynamics. Applications to tumor growth. Zbl 0751.92008
Gyllenberg, Mats; Webb, Glenn F.
8
1991
Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019
Diekmann, O.; Gyllenberg, M.; Thieme, H. R.
5
1991
Semigroups and renewal equations on dual Banach spaces with applications to population dynamics. Zbl 0799.47022
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
1
1991
...and 12 more Documents
all top 5

Cited by 1,144 Authors

66 Gyllenberg, Mats
35 Diekmann, Odo
23 Kisdi, Éva
19 Metz, Johan A. Jacob
18 Parvinen, Kalle
16 Geritz, Stefan A. H.
16 Thieme, Horst R.
14 Jiang, Jifa
14 Niu, Lei
13 Dieckmann, Ulf
12 Breda, Dimitri
12 Calsina, Àngel
12 de Roos, André M.
11 Webb, Glenn Francis
11 Yan, Ping
10 Corander, Jukka
10 Silvestrov, Dmitrii
9 Farkas, József Zoltán
9 Getto, Philipp
9 Koski, Timo J. T.
9 Schreiber, Sebastian J.
9 Vermiglio, Rossana
8 Fu, Xianlong
8 Nakaoka, Shinji
8 Perthame, Benoît
8 Ruiz-Herrera, Alfonso
8 Wang, Yi
7 Inaba, Hisashi
7 Meszéna, Géza
7 Scarabel, Francesca
6 Heijmans, Henk J. A. M.
6 Kang, Yun
6 Lindström, Torsten
6 Nurmi, Tuomas
6 Takeuchi, Yasuhiro
6 Utz, Margarete
6 Yan, Dongxue
5 Ackleh, Azmy S.
5 Allen, Benjamin L.
5 Banks, Harvey Thomas
5 Bellomo, Nicola
5 Boldin, Barbara
5 Brännström, Åke
5 Clairambault, Jean
5 Cuadrado, Sílvia
5 Doebeli, Michael
5 Hanski, Ilkka A.
5 Magal, Pierre
5 Martcheva, Maia
5 Petersson, Mikael
5 Pugliese, Andrea
5 Ripoll, Jordi
5 Ruan, Shigui
5 Rudnicki, Ryszard
5 Verduyn Lunel, Sjoerd M.
5 Wakano, Joe Yuichiro
5 Zu, Jian
4 Gwiazda, Piotr
4 Kirkilionis, Markus A.
4 Kuang, Yang
4 Lam, King-Yeung
4 Liu, Zijian
4 Lou, Yuan
4 Méléard, Sylvie
4 Michel, Philippe
4 Morozov, Andrew Yu.
4 Persson, Lennart
4 Pollett, Philip K.
4 Silvestrov, Sergei D.
4 Venturino, Ezio
4 Wang, Qinlong
4 Wang, Wendi
4 Wu, Jianhong
4 Xiao, Dongmei
4 Xu, Changjin
4 Yakubu, Abdul-Aziz
4 Yu, Pei
3 Akimenko, Vitalii V.
3 Allgower, Frank
3 Alzahrani, Ebraheem O.
3 Andò, Alessia
3 Argasinski, Krzysztof
3 Benaïm, Michel
3 Carrillo de la Plata, José Antonio
3 Champagnat, Nicolas
3 Chen, Chiun-Chuan
3 Clément, Philippe J. E.
3 Dercole, Fabio
3 Doumic, Marie
3 Dyson, Janet
3 Ferriere, Regis
3 Flores, Kevin B.
3 Hastings, Alan
3 Heino, Mikko
3 Huang, Wentao
3 Hung, Li-Chang
3 Jabin, Pierre-Emmanuel
3 Jagers, Peter
3 Johansson, Jacob
3 Kopp, Michael
...and 1,044 more Authors
all top 5

Cited in 163 Serials

112 Journal of Mathematical Biology
73 Journal of Theoretical Biology
64 Theoretical Population Biology
48 Bulletin of Mathematical Biology
46 Mathematical Biosciences
25 Journal of Mathematical Analysis and Applications
25 Journal of Differential Equations
20 Discrete and Continuous Dynamical Systems. Series B
20 Journal of Biological Dynamics
16 Mathematical and Computer Modelling
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Nonlinear Analysis. Real World Applications
12 Applied Mathematics and Computation
10 Mathematical Modelling of Natural Phenomena
9 Journal of Difference Equations and Applications
7 Computers & Mathematics with Applications
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Proceedings of the American Mathematical Society
6 Semigroup Forum
6 Acta Applicandae Mathematicae
5 Journal of Computational and Applied Mathematics
5 Physica D
5 Applied Mathematics Letters
5 Stochastic Processes and their Applications
5 Discrete and Continuous Dynamical Systems
5 Discrete Dynamics in Nature and Society
5 Journal of Applied Mathematics
5 SIAM Journal on Applied Dynamical Systems
5 Mathematical Biosciences and Engineering
4 Mathematical Methods in the Applied Sciences
4 Chaos, Solitons and Fractals
4 Mathematics and Computers in Simulation
4 Journal of Nonlinear Science
4 Theory of Probability and Mathematical Statistics
4 International Journal of Biomathematics
3 The Annals of Statistics
3 Mathematische Annalen
3 SIAM Journal on Numerical Analysis
3 Acta Mathematicae Applicatae Sinica. English Series
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Applied Mathematics
3 Journal of Dynamics and Differential Equations
3 Differential Equations and Dynamical Systems
3 Nonlinear Dynamics
3 Journal of Inequalities and Applications
3 Chaos
3 Communications in Nonlinear Science and Numerical Simulation
3 Statistics and Computing
2 Advances in Applied Probability
2 Applicable Analysis
2 Physica A
2 Rocky Mountain Journal of Mathematics
2 Journal of Statistical Planning and Inference
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Ricerche di Matematica
2 Transactions of the American Mathematical Society
2 Journal of Classification
2 Japan Journal of Applied Mathematics
2 Numerical Methods for Partial Differential Equations
2 The Annals of Applied Probability
2 Communications in Statistics. Theory and Methods
2 Mathematical Population Studies
2 Positivity
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Natural Resource Modeling
2 Journal of Biological Systems
2 Methodology and Computing in Applied Probability
2 Journal of Systems Science and Complexity
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications on Pure and Applied Analysis
2 Journal of Applied Mathematics and Computing
2 Advances in Difference Equations
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Discrete and Continuous Dynamical Systems. Series S
2 Mathematics
1 Bulletin of the Australian Mathematical Society
1 The Canadian Journal of Statistics
1 Communications in Mathematical Physics
1 Journal of Statistical Physics
1 Nonlinearity
1 Psychometrika
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Optimization
1 Automatica
1 Compositio Mathematica
1 Glasgow Mathematical Journal
1 Hiroshima Mathematical Journal
1 International Statistical Review
1 Journal of the American Statistical Association
1 Journal of Multivariate Analysis
1 Journal of Soviet Mathematics
1 Kybernetika
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Insurance Mathematics & Economics
1 Chinese Annals of Mathematics. Series B
...and 63 more Serials

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