Edit Profile (opens in new tab) Gyllenberg, Mats Co-Author Distance Author ID: gyllenberg.mats Published as: Gyllenberg, Mats; Gyllenberg, M. External Links: MGP · Wikidata · dblp · IdRef Documents Indexed: 136 Publications since 1981, including 1 Book and 1 Additional arXiv Preprint 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 91 Co-Authors with 132 Joint Publications 1,857 Co-Co-Authors all top 5 Co-Authors 7 single-authored 30 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 Fang, Chun 3 Osipov, Alexandr V. 3 Toivonen, Jaakko 3 Verlaan, Martin 3 Vermiglio, Rossana 3 Virkki, Arho 2 Breda, Dimitri 2 Cao, Feng 2 Franco, Eugenia 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, Haiyang 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 Liu, Shitao 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 Journal of Evolution Equations 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 Acta Applicandae Mathematicae 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 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 all top 5 Fields 109 Biology and other natural sciences (92-XX) 36 Ordinary differential equations (34-XX) 29 Dynamical systems and ergodic theory (37-XX) 20 Operator theory (47-XX) 13 Integral equations (45-XX) 13 Statistics (62-XX) 12 Partial differential equations (35-XX) 11 Probability theory and stochastic processes (60-XX) 8 Numerical analysis (65-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Difference and functional equations (39-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 118 Publications have been cited 1,779 times in 942 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. 98 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. 89 1998 Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. Zbl 1149.39021 Diekmann, Odo; Getto, Philipp; Gyllenberg, Mats 75 2007 Steady-state analysis of structured population models. Zbl 1098.92062 Diekmann, O.; Gyllenberg, M.; Metz, J. A. J. 74 2003 Does migration stabilize local population dynamics? Analysis of a discrete metapopulation model. Zbl 0784.92019 Gyllenberg, Mats; Söderbacka, Gunnar; Ericsson, Stefan 60 1993 Invasion dynamics and attractor inheritance. Zbl 0990.92029 Geritz, S. A. H.; Gyllenberg, M.; Jacobs, F. J. A.; Parvinen, K. 58 2002 A nonlinear structured population model of tumor growth with quiescence. Zbl 0744.92026 Gyllenberg, M.; Webb, G. F. 57 1990 Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133 Diekmann, Odo; Gyllenberg, Mats 50 2012 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. 50 2010 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. 44 1987 On fitness in structured metapopulations. Zbl 0995.92034 Gyllenberg, Mats; Metz, J. A. J. 42 2001 Competitive exclusion and limiting similarity: A unified theory. Zbl 1085.92048 Meszéna, Géza; Gyllenberg, Mats; Pásztor, Liz; Metz, Johan A. J. 37 2006 Age-size structure in populations with quiescence. Zbl 0632.92014 Gyllenberg, M.; Webb, G. F. 36 1987 Necessary and sufficient conditions for evolutionary suicide. Zbl 1323.92141 Gyllenberg, Mats; Parvinen, Kalle 36 2001 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 35 2006 Single-species metapopulation dynamics: A structured model. Zbl 0758.92011 Gyllenberg, Mats; Hanski, Ilkka 30 1992 Evolutionary suicide and evolution of dispersal in structured metapopulations. Zbl 1014.92025 Gyllenberg, Mats; Parvinen, Kalle; Dieckmann, Ulf 29 2002 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. 28 2016 An abstract delay-differential equation modelling size dependent cell growth and division. Zbl 0634.34064 Gyllenberg, M.; Heijmans, H. J. A. M. 25 1987 Abstract delay equations inspired by population dynamics. Zbl 1167.47058 Diekmann, Odo; Gyllenberg, Mats 25 2008 Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle. Zbl 1189.34080 Gyllenberg, Mats; Yan, Ping 25 2009 A mechanistic derivation of the DeAngelis-Beddington functional response. Zbl 1397.92571 Geritz, Stefan; Gyllenberg, Mats 25 2012 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. 23 1988 Asynchronous exponential growth of semigroups of nonlinear operators. Zbl 0818.47064 Gyllenberg, M.; Webb, G. F. 23 1992 Quasi-stationary distributions of a stochastic metapopulation model. Zbl 0816.92016 Gyllenberg, Mats; Silvestrov, Dmitrij S. 22 1994 On the impossibility of coexistence of infinitely many strategies. Zbl 1080.92060 Gyllenberg, Mats; Meszéna, Géza 21 2005 Allee effects can both conserve and create spatial heterogeneity in population densities. Zbl 0962.92038 Gyllenberg, M.; Hemminki, J.; Tammaru, T. 20 1999 Habitat deterioration, habitat destruction, and metapopulation persistence in a heterogeneous landscape. Zbl 0890.92022 Gyllenberg, Mats; Hanski, Ilkka 20 1997 Quasi-stationary phenomena in nonlinearity perturbed stochastic systems. Zbl 1175.60002 Gyllenberg, Mats; Silvestrov, Dmitrii S. 20 2008 Nonlinear age-dependent population dynamics in continuously propagated bacterial cultures. Zbl 0495.92017 Gyllenberg, Mats 18 1982 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 18 1998 Continuous versus discrete single species population models with adjustable reproductive strategies. Zbl 0903.92019 Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten 18 1997 Non-uniqueness in probabilistic numerical identification of bacteria. Zbl 0817.92002 Gyllenberg, Mats; Koski, Timo; Reilink, Edwin; Verlaan, Martin 17 1994 Bifurcation analysis of a metapopulation model with sources and sinks. Zbl 0927.37028 Gyllenberg, M.; Osipov, A. V.; Söderbacka, G. 17 1996 Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems. Zbl 1111.34027 Gyllenberg, Mats; Yan, Ping; Wang, Yi 16 2006 The inverse problem of linear age-structured population dynamics. Zbl 1054.35128 Gyllenberg, Mats; Osipov, Andrei; Päivärinta, Lassi 16 2002 Necessary and sufficient conditions for the existence of an optimisation principle in evolution. Zbl 1232.92059 Gyllenberg, Mats; Service, Robert 15 2011 On the number of limit cycles for three dimensional Lotka-Volterra systems. Zbl 1163.34337 Gyllenberg, Mats; Yan, Ping 15 2009 Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 14 1993 The size and scar distributions of the yeast Saccharomyces cerevisiae. Zbl 0593.92016 Gyllenberg, Mats 14 1986 A predator-prey model with optimal suppression of reproduction in the prey. Zbl 0851.92020 Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten 13 1996 Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods. Zbl 1470.92105 Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca 13 2019 Stability of a nonlinear age-dependent population model containing a control variable. Zbl 0528.92017 Gyllenberg, Mats 12 1983 The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021 Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst 11 1993 Population models with environmental stochasticity. Zbl 0799.92021 Gyllenberg, Mats; Högnäs, Göran; Koski, Timo 11 1994 Dynamics of the periodic type-\(K\) competitive Kolmogorov systems. Zbl 1064.34031 Gyllenberg, Mats; Wang, Yi 11 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 11 2018 Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066 Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J. 11 2018 Mathematical aspects of physiologically structured populations: The contributions of J. A. J. Metz. Zbl 1255.01017 Gyllenberg, Mats 10 2007 On the dynamics of multi-species Ricker models admitting a carrying simplex. Zbl 1429.37010 Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping 10 2019 Group defence and the predator’s functional response. Zbl 1258.92035 Geritz, S. A. H.; Gyllenberg, M. 10 2013 Nonlinearly perturbed regenerative processes and pseudo-stationary phenomena for stochastic systems. Zbl 1028.60067 Gyllenberg, Mats; Silvestrov, Dmitrii S. 9 2000 Evolution of condition-dependent dispersal under kin competition. Zbl 1141.92030 Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 9 2008 Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization. Zbl 1427.65098 Gyllenberg, Mats; Scarabel, Francesca; Vermiglio, Rossana 9 2018 A note on global stability of three-dimensional Ricker models. Zbl 1406.37063 Gyllenberg, Mats; Jiang, Jifa; Niu, Lei 9 2019 Estimating the transmission dynamics of Streptococcus pneumoniae from strain prevalence data. Zbl 1418.92186 Numminen, Elina; Cheng, Lu; Gyllenberg, Mats; Corander, Jukka 9 2013 On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071 Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 9 2020 Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034 Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 9 2020 Bayesian unsupervised classification framework based on stochastic partitions of data and a parallel search strategy. Zbl 1231.62031 Corander, Jukka; Gyllenberg, Mats; Koski, Timo 8 2009 Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 8 2000 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. 8 1989 Classification of binary vectors by stochastic complexity. Zbl 1090.62542 Gyllenberg, Mats; Koski, Timo; Verlaan, Martin 8 1997 When do optimisation arguments make evolutionary sense? Zbl 1379.92037 Gyllenberg, Mats; Metz, J. A. J. (Hans); Service, Robert 8 2011 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. 8 2017 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 Cramér-Lundberg approximation for nonlinearly perturbed risk processes. Zbl 0956.91044 Gyllenberg, Mats; Silvestrov, Dmitrii S. 7 2000 Quasi-stationary phenomena for semi-Markov processes. Zbl 0966.60086 Gyllenberg, Mats; Silvestrov, Dmitrii S. 7 1999 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 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 predictiveness, exchangeability and sufficientness in bacterial taxonomy. Zbl 1003.62023 Gyllenberg, Mats; Koski, Timo 6 2002 On a conjecture by Yang. Zbl 1028.26014 Gyllenberg, Mats; Yan, Ping 6 2001 Quiescence in structured population dynamics. Applications to tumor growth. Zbl 0751.92008 Gyllenberg, Mats; Webb, Glenn F. 6 1991 The generalized Liénard systems. Zbl 1019.34051 Gyllenberg, Mats; Ping, Yan 6 2002 On the evolution of patch-type dependent immigration. Zbl 1343.92415 Gyllenberg, Mats; Kisdi, Éva; Weigang, Helene C. 6 2016 Variability within families and the evolution of body-condition-dependent dispersal. Zbl 1403.92176 Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 6 2011 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 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 The qualitative behavior of a second-order system with zero diagonal coefficient. Zbl 1048.34065 Gyllenberg, Mats; Yan, Ping; Jiang, Jifa 5 2004 Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019 Diekmann, O.; Gyllenberg, M.; Thieme, H. R. 5 1991 Null recurrence in a stochastic Ricker model. Zbl 0802.60059 Gyllenberg, Mats; Högnäs, Göran; Koski, Timo 5 1994 New conditions for the intersection of orbits with the vertical isocline of the Liénard system. Zbl 1176.34034 Gyllenberg, Mats; Yan, Ping 5 2009 Body condition dependent dispersal in a heterogeneous environment. Zbl 1338.92104 Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 5 2011 The DeAngelis-Beddington functional response and the evolution of timidity of the prey. Zbl 1412.92258 Geritz, Stefan A. H.; Gyllenberg, Mats 5 2014 Random partition models and exchangeability for Bayesian identification of population structure. Zbl 1141.62310 Corander, Jukka; Gyllenberg, Mats; Koski, Timo 4 2007 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. 4 2003 Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 4 1995 Evolution of specialization in resource utilization in structured metapopulations. Zbl 1154.92041 Nurmi, Tuomas; Geritz, Stefan; Parvinen, Kalle; Gyllenberg, Mats 4 2008 Probabilistic models for bacterial taxonomy. Zbl 1180.92004 Gyllenberg, M.; Koski, T. 4 2001 The second half – with a quarter of a century delay. Zbl 1337.92173 Diekmann, O.; Gyllenberg, M. 4 2008 Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation. Zbl 1464.35375 Scarabel, Francesca; Breda, Dimitri; Diekmann, Odo; Gyllenberg, Mats; Vermiglio, Rossana 4 2021 Parameter identification in dynamical models of anaerobic waste water treatment. Zbl 0999.92040 Müller, T. G.; Noykova, N.; Gyllenberg, M.; Timmer, J. 3 2002 The age structure of populations of cells reproducing by asymmetric division. Zbl 0569.92019 Gyllenberg, Mats 3 1985 Numerical taxonomy and the principle of maximum entropy. Zbl 0868.92002 Gyllenberg, Mats; Koski, Timo 3 1996 Bayesian predictive identification and cumulative classification of bacteria. Zbl 1323.92009 Gyllenberg, Mats; Koski, Timo; Lund, Tatu; Gyllenberg, Helge G. 3 1999 Adaptive dynamics on an environmental gradient that changes over a geological time-scale. Zbl 1347.92063 Fortelius, Mikael; Geritz, Stefan; Gyllenberg, Mats; Toivonen, Jaakko 3 2015 Perturbing evolutionary systems on dual spaces by cumulative outputs. Zbl 1211.47014 Gyllenberg, Mats; Lant, Timothy; Thieme, Horst R. 3 2006 Permanence and universal classification of discrete-time competitive systems via the carrying simplex. Zbl 1432.37116 Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping 3 2020 Periodic tridiagonal systems modeling competitive-cooperative ecological interactions. Zbl 1080.34021 Gyllenberg, Mats; Wang, Yi 2 2005 Semigroups and renewal equations on dual Banach spaces with applications to population dynamics. Zbl 0799.47022 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 2 1991 Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation. Zbl 1464.35375 Scarabel, Francesca; Breda, Dimitri; Diekmann, Odo; Gyllenberg, Mats; Vermiglio, Rossana 4 2021 One dimensional reduction of a renewal equation for a measure-valued function of time describing population dynamics. Zbl 1473.92027 Franco, Eugenia; Gyllenberg, Mats; Diekmann, Odo 1 2021 On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071 Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 9 2020 Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034 Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 9 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 3 2020 Chaotic attractors in the four-dimensional Leslie-Gower competition model. Zbl 1453.37084 Gyllenberg, Mats; Jiang, Jifa; Niu, Lei 2 2020 Interactions between different predator-prey states: a method for the derivation of the functional and numerical response. Zbl 1444.92080 Berardo, Cecilia; Geritz, Stefan; Gyllenberg, Mats; Raoul, Gaël 2 2020 Chaotic attractors in Atkinson-Allen model of four competing species. Zbl 1447.92340 Gyllenberg, Mats; Jiang, Jifa; Niu, Lei 1 2020 Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods. Zbl 1470.92105 Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca 13 2019 On the dynamics of multi-species Ricker models admitting a carrying simplex. Zbl 1429.37010 Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping 10 2019 A note on global stability of three-dimensional Ricker models. Zbl 1406.37063 Gyllenberg, Mats; Jiang, Jifa; Niu, Lei 9 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 11 2018 Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066 Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J. 11 2018 Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization. Zbl 1427.65098 Gyllenberg, Mats; Scarabel, Francesca; Vermiglio, Rossana 9 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. 8 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. 28 2016 On the evolution of patch-type dependent immigration. Zbl 1343.92415 Gyllenberg, Mats; Kisdi, Éva; Weigang, Helene C. 6 2016 Group actions on monotone skew-product semiflows with applications. Zbl 1339.37084 Cao, Feng; Gyllenberg, Mats; Wang, Yi 1 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 3 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 5 2014 Group defence and the predator’s functional response. Zbl 1258.92035 Geritz, S. A. H.; Gyllenberg, M. 10 2013 Estimating the transmission dynamics of Streptococcus pneumoniae from strain prevalence data. Zbl 1418.92186 Numminen, Elina; Cheng, Lu; Gyllenberg, Mats; Corander, Jukka 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 Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133 Diekmann, Odo; Gyllenberg, Mats 50 2012 A mechanistic derivation of the DeAngelis-Beddington functional response. Zbl 1397.92571 Geritz, Stefan; Gyllenberg, Mats 25 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 15 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 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 Body condition dependent dispersal in a heterogeneous environment. Zbl 1403.92325 Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 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. 50 2010 Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle. Zbl 1189.34080 Gyllenberg, Mats; Yan, Ping 25 2009 On the number of limit cycles for three dimensional Lotka-Volterra systems. Zbl 1163.34337 Gyllenberg, Mats; Yan, Ping 15 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 8 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 5 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 25 2008 Quasi-stationary phenomena in nonlinearity perturbed stochastic systems. Zbl 1175.60002 Gyllenberg, Mats; Silvestrov, Dmitrii S. 20 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 4 2008 The second half – with a quarter of a century delay. Zbl 1337.92173 Diekmann, O.; Gyllenberg, M. 4 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 75 2007 Mathematical aspects of physiologically structured populations: The contributions of J. A. J. Metz. Zbl 1255.01017 Gyllenberg, Mats 10 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 35 2006 Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems. Zbl 1111.34027 Gyllenberg, Mats; Yan, Ping; Wang, Yi 16 2006 Perturbing evolutionary systems on dual spaces by cumulative outputs. Zbl 1211.47014 Gyllenberg, Mats; Lant, Timothy; Thieme, Horst R. 3 2006 On a conjecture of Qi-type integral inequalities. Zbl 1182.26070 Yan, Ping; Gyllenberg, Mats 1 2006 On an open problem of integral inequalities. Zbl 1232.26048 Yan, Ping; Gyllenberg, Mats 1 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 the impossibility of coexistence of infinitely many strategies. Zbl 1080.92060 Gyllenberg, Mats; Meszéna, Géza 21 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 11 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. 74 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. 4 2003 Invasion dynamics and attractor inheritance. Zbl 0990.92029 Geritz, S. A. H.; Gyllenberg, M.; Jacobs, F. J. A.; Parvinen, K. 58 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 16 2002 Bayesian predictiveness, exchangeability and sufficientness in bacterial taxonomy. Zbl 1003.62023 Gyllenberg, Mats; Koski, Timo 6 2002 The generalized Liénard systems. Zbl 1019.34051 Gyllenberg, Mats; Ping, Yan 6 2002 Parameter identification in dynamical models of anaerobic waste water treatment. Zbl 0999.92040 Müller, T. G.; Noykova, N.; Gyllenberg, M.; Timmer, J. 3 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. 98 2001 On fitness in structured metapopulations. Zbl 0995.92034 Gyllenberg, Mats; Metz, J. A. J. 42 2001 Necessary and sufficient conditions for evolutionary suicide. Zbl 1323.92141 Gyllenberg, Mats; Parvinen, Kalle 36 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 Nonlinearly perturbed regenerative processes and pseudo-stationary phenomena for stochastic systems. Zbl 1028.60067 Gyllenberg, Mats; Silvestrov, Dmitrii S. 9 2000 Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 8 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. 20 1999 Quasi-stationary phenomena for semi-Markov processes. Zbl 0966.60086 Gyllenberg, Mats; Silvestrov, Dmitrii S. 7 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 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. 89 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 18 1998 Habitat deterioration, habitat destruction, and metapopulation persistence in a heterogeneous landscape. Zbl 0890.92022 Gyllenberg, Mats; Hanski, Ilkka 20 1997 Continuous versus discrete single species population models with adjustable reproductive strategies. Zbl 0903.92019 Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten 18 1997 Classification of binary vectors by stochastic complexity. Zbl 1090.62542 Gyllenberg, Mats; Koski, Timo; Verlaan, Martin 8 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. 22 1994 Non-uniqueness in probabilistic numerical identification of bacteria. Zbl 0817.92002 Gyllenberg, Mats; Koski, Timo; Reilink, Edwin; Verlaan, Martin 17 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 60 1993 Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 14 1993 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,292 Authors 68 Gyllenberg, Mats 40 Diekmann, Odo 24 Kisdi, Éva 21 Geritz, Stefan A. H. 21 Metz, Johan A. Jacob 20 Thieme, Horst R. 19 Breda, Dimitri 19 Parvinen, Kalle 15 Jiang, Jifa 15 Niu, Lei 14 Calsina, Àngel 13 Dieckmann, Ulf 13 Vermiglio, Rossana 12 Corander, Jukka 12 de Roos, André M. 12 Silvestrov, Dmitrii 12 Wang, Yi 11 Scarabel, Francesca 11 Webb, Glenn Francis 11 Yan, Ping 10 Farkas, József Zoltán 10 Fu, Xianlong 10 Getto, Philipp 10 Ruiz-Herrera, Alfonso 10 Schreiber, Sebastian J. 9 Koski, Timo J. T. 9 Perthame, Benoît 8 Inaba, Hisashi 8 Nakaoka, Shinji 8 Rudnicki, Ryszard 7 Doebeli, Michael 7 Kang, Yun 7 Meszéna, Géza 7 Wu, Jianhong 7 Yan, Dongxue 6 Andò, Alessia 6 Brännström, Åke 6 Heijmans, Henk J. A. M. 6 Kaslik, Eva 6 Lindström, Torsten 6 Nurmi, Tuomas 6 Ruan, Shigui 6 Takeuchi, Yasuhiro 6 Utz, Margarete 6 Wakano, Joe Yuichiro 6 Zu, Jian 5 Ackleh, Azmy S. 5 Allen, Benjamin L. 5 Banks, Harvey Thomas 5 Bellomo, Nicola 5 Boldin, Barbara 5 Clairambault, Jean 5 Cuadrado, Sílvia 5 Hanski, Ilkka A. 5 Liessi, Davide 5 Liu, Zijian 5 Lou, Yuan 5 Magal, Pierre 5 Martcheva, Maia 5 Méléard, Sylvie 5 Petersson, Mikael 5 Pugliese, Andrea 5 Ripoll, Jordi 5 Silvestrov, Sergei D. 5 Venturino, Ezio 5 Verduyn Lunel, Sjoerd M. 5 Xu, Gongjun 4 Argasinski, Krzysztof 4 Carlsson, Linus 4 Champagnat, Nicolas 4 Gutmann, Michael U. 4 Gwiazda, Piotr 4 Huang, Wentao 4 Jagers, Peter 4 Kirkilionis, Markus A. 4 Kuznetsov, Yuri Alexandrovich 4 Lam, King-Yeung 4 Michel, Philippe 4 Morozov, Andrew Yu. 4 Nakata, Yukihiko 4 Persson, Lennart 4 Pollett, Philip K. 4 Priklopil, Tadeas 4 Röst, Gergely 4 Soresina, Cinzia 4 van Gils, Stephan A. 4 Wang, Qinlong 4 Wang, Wendi 4 Xiao, Dongmei 4 Xu, Changjin 4 Yakubu, Abdul-Aziz 4 Yu, Pei 3 Aghajani, Asadollah 3 Akimenko, Vitalii V. 3 Alaoui, Larbi 3 Allgower, Frank 3 Alzahrani, Ebraheem O. 3 Aydogmus, Ozgur 3 Barril, Carles 3 Benaïm, Michel ...and 1,192 more Authors all top 5 Cited in 184 Serials 121 Journal of Mathematical Biology 85 Journal of Theoretical Biology 67 Theoretical Population Biology 49 Bulletin of Mathematical Biology 41 Mathematical Biosciences 30 Journal of Differential Equations 30 Discrete and Continuous Dynamical Systems. Series B 26 Journal of Mathematical Analysis and Applications 21 Journal of Biological Dynamics 16 Mathematical and Computer Modelling 15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 14 Applied Mathematics and Computation 14 Nonlinear Analysis. Real World Applications 13 Mathematical Biosciences and Engineering 11 Journal of Difference Equations and Applications 11 Mathematical Modelling of Natural Phenomena 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Computers & Mathematics with Applications 8 Acta Applicandae Mathematicae 8 Journal of Dynamics and Differential Equations 7 Chaos, Solitons and Fractals 7 Journal of Computational and Applied Mathematics 7 Physica D 7 Journal of Applied Mathematics 6 Proceedings of the American Mathematical Society 6 Semigroup Forum 6 SIAM Journal on Applied Dynamical Systems 5 Mathematical Methods in the Applied Sciences 5 Applied Mathematics Letters 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Discrete and Continuous Dynamical Systems 5 Discrete Dynamics in Nature and Society 5 Communications in Nonlinear Science and Numerical Simulation 5 International Journal of Biomathematics 4 Mathematische Annalen 4 Mathematics and Computers in Simulation 4 The Annals of Applied Probability 4 SIAM Journal on Applied Mathematics 4 Stochastic Processes and their Applications 4 Journal of Nonlinear Science 4 Theory of Probability and Mathematical Statistics 4 Advances in Difference Equations 4 Statistics and Computing 3 Advances in Applied Probability 3 Physica A 3 The Annals of Statistics 3 SIAM Journal on Numerical Analysis 3 Acta Mathematicae Applicatae Sinica. English Series 3 Numerical Methods for Partial Differential Equations 3 Differential Equations and Dynamical Systems 3 Nonlinear Dynamics 3 Journal of Inequalities and Applications 3 Chaos 3 Journal of Biological Systems 3 Methodology and Computing in Applied Probability 3 Journal of Evolution Equations 3 Bayesian Analysis 2 Applicable Analysis 2 Nonlinearity 2 Psychometrika 2 Rocky Mountain Journal of Mathematics 2 Automatica 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 Applied Mathematical Modelling 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 Qualitative Theory of Dynamical Systems 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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Evolution Equations and Control Theory 2 Journal of Computational Dynamics 2 Journal of Applied Nonlinear Dynamics 2 Mathematics 2 International Journal of Applied and Computational Mathematics 1 Bulletin of the Australian Mathematical Society 1 The Canadian Journal of Statistics 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 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 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Indiana University Mathematics Journal 1 International Statistical Review ...and 84 more Serials all top 5 Cited in 38 Fields 730 Biology and other natural sciences (92-XX) 231 Ordinary differential equations (34-XX) 174 Dynamical systems and ergodic theory (37-XX) 164 Partial differential equations (35-XX) 98 Probability theory and stochastic processes (60-XX) 85 Operator theory (47-XX) 72 Numerical analysis (65-XX) 62 Integral equations (45-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 49 Difference and functional equations (39-XX) 47 Statistics (62-XX) 23 Systems theory; control (93-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Real functions (26-XX) 8 Operations research, mathematical programming (90-XX) 7 Computer science (68-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Combinatorics (05-XX) 6 Functional analysis (46-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Measure and integration (28-XX) 4 Fluid mechanics (76-XX) 3 History and biography (01-XX) 2 Number theory (11-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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