Edit Profile (opens in new tab) Gyllenberg, Mats Compute Distance To: Compute Author ID: gyllenberg.mats Published as: Gyllenberg, Mats; Gyllenberg, M. External Links: MGP · Wikidata · dblp · IdRef Documents Indexed: 134 Publications since 1981, including 1 Book 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 89 Co-Authors with 130 Joint Publications 1,613 Co-Co-Authors all top 5 Co-Authors 7 single-authored 29 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 Franco, Eugenia 1 Gavrilets, Sergey 1 Heesterbeek, Hans 1 Hemminki, J. 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, 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 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 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 all top 5 Fields 108 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) 11 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 Real functions (26-XX) 2 History and biography (01-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 116 Publications have been cited 1,594 times in 860 Documents Cited by ▼ Year ▼ On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. Zbl 1028.92019Diekmann, O.; Gyllenberg, M.; Huang, H.; Kirkilionis, M.; Metz, J. A. J. 94 2001 On the formulation and analysis of general deterministic structured population models. I: Linear theory. Zbl 0909.92023Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst R. 84 1998 Steady-state analysis of structured population models. Zbl 1098.92062Diekmann, O.; Gyllenberg, M.; Metz, J. A. J. 70 2003 Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. Zbl 1149.39021Diekmann, Odo; Getto, Philipp; Gyllenberg, Mats 67 2007 Does migration stabilize local population dynamics? Analysis of a discrete metapopulation model. Zbl 0784.92019Gyllenberg, Mats; Söderbacka, Gunnar; Ericsson, Stefan 56 1993 Invasion dynamics and attractor inheritance. Zbl 0990.92029Geritz, S. A. H.; Gyllenberg, M.; Jacobs, F. J. A.; Parvinen, K. 55 2002 A nonlinear structured population model of tumor growth with quiescence. Zbl 0744.92026Gyllenberg, M.; Webb, G. F. 52 1990 Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example. Zbl 1208.92082Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Nakaoka, Shinji; de Roos, Andre M. 44 2010 Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133Diekmann, Odo; Gyllenberg, Mats 42 2012 On fitness in structured metapopulations. Zbl 0995.92034Gyllenberg, Mats; Metz, J. A. J. 40 2001 Competitive exclusion and limiting similarity: A unified theory. Zbl 1085.92048Meszéna, Géza; Gyllenberg, Mats; Pásztor, Liz; Metz, Johan A. J. 38 2006 A 3D competitive Lotka-Volterra system with three limit cycles: a falsification of a conjecture by Hofbauer and So. Zbl 1085.34025Gyllenberg, Mats; Yan, Ping; Wang, Yi 34 2006 Necessary and sufficient conditions for evolutionary suicide. Zbl 1323.92141Gyllenberg, Mats; Parvinen, Kalle 33 2001 Age-size structure in populations with quiescence. Zbl 0632.92014Gyllenberg, M.; Webb, G. F. 33 1987 Perturbation theory for dual semigroups. I. The sun-reflexive case. Zbl 0634.47039Clément, Ph.; Diekmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R. 33 1987 Single-species metapopulation dynamics: A structured model. Zbl 0758.92011Gyllenberg, Mats; Hanski, Ilkka 29 1992 Evolutionary suicide and evolution of dispersal in structured metapopulations. Zbl 1014.92025Gyllenberg, Mats; Parvinen, Kalle; Dieckmann, Ulf 28 2002 Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle. Zbl 1189.34080Gyllenberg, Mats; Yan, Ping 23 2009 Abstract delay equations inspired by population dynamics. Zbl 1167.47058Diekmann, Odo; Gyllenberg, Mats 23 2008 An abstract delay-differential equation modelling size dependent cell growth and division. Zbl 0634.34064Gyllenberg, M.; Heijmans, H. J. A. M. 21 1987 A mechanistic derivation of the DeAngelis-Beddington functional response. Zbl 1397.92571Geritz, Stefan; Gyllenberg, Mats 20 2012 Allee effects can both conserve and create spatial heterogeneity in population densities. Zbl 0962.92038Gyllenberg, M.; Hemminki, J.; Tammaru, T. 20 1999 Asynchronous exponential growth of semigroups of nonlinear operators. Zbl 0818.47064Gyllenberg, M.; Webb, G. F. 20 1992 Habitat deterioration, habitat destruction, and metapopulation persistence in a heterogeneous landscape. Zbl 0890.92022Gyllenberg, Mats; Hanski, Ilkka 20 1997 Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis. Zbl 1352.34101Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R. 20 2016 Perturbation theory for dual semigroups. II: Time-dependent perturbations in the sun-reflexive case. Zbl 0661.47015Clément, Ph.; Diekmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R. 19 1988 Quasi-stationary distributions of a stochastic metapopulation model. Zbl 0816.92016Gyllenberg, Mats; Silvestrov, Dmitrij S. 19 1994 On the impossibility of coexistence of infinitely many strategies. Zbl 1080.92060Gyllenberg, Mats; Meszéna, Géza 19 2005 Bifurcation analysis of a metapopulation model with sources and sinks. Zbl 0927.37028Gyllenberg, M.; Osipov, A. V.; Söderbacka, G. 17 1996 Quasi-stationary phenomena in nonlinearity perturbed stochastic systems. Zbl 1175.60002Gyllenberg, Mats; Silvestrov, Dmitrii S. 17 2008 Nonlinear age-dependent population dynamics in continuously propagated bacterial cultures. Zbl 0495.92017Gyllenberg, Mats 16 1982 Continuous versus discrete single species population models with adjustable reproductive strategies. Zbl 0903.92019Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten 15 1997 The size and scar distributions of the yeast Saccharomyces cerevisiae. Zbl 0593.92016Gyllenberg, Mats 14 1986 On the number of limit cycles for three dimensional Lotka-Volterra systems. Zbl 1163.34337Gyllenberg, Mats; Yan, Ping 14 2009 The inverse problem of linear age-structured population dynamics. Zbl 1054.35128Gyllenberg, Mats; Osipov, Andrei; Päivärinta, Lassi 14 2002 Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems. Zbl 1111.34027Gyllenberg, Mats; Yan, Ping; Wang, Yi 14 2006 Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 13 1993 Non-uniqueness in probabilistic numerical identification of bacteria. Zbl 0817.92002Gyllenberg, Mats; Koski, Timo; Reilink, Edwin; Verlaan, Martin 13 1994 A predator-prey model with optimal suppression of reproduction in the prey. Zbl 0851.92020Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten 13 1996 Ontogenetic scaling of foraging rates and the dynamics of a size-structured consumer-resource model. Zbl 0954.92032Persson, Lennart; Leonardsson, Kjell; de Roos, André M.; Gyllenberg, Mats; Christensen, Bent 13 1998 Necessary and sufficient conditions for the existence of an optimisation principle in evolution. Zbl 1232.92059Gyllenberg, Mats; Service, Robert 13 2011 Stability of a nonlinear age-dependent population model containing a control variable. Zbl 0528.92017Gyllenberg, Mats 11 1983 The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst 11 1993 Population models with environmental stochasticity. Zbl 0799.92021Gyllenberg, Mats; Högnäs, Göran; Koski, Timo 11 1994 On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex. Zbl 1381.37030Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping 11 2018 Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods. Zbl 1470.92105Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca 10 2019 Dynamics of the periodic type-\(K\) competitive Kolmogorov systems. Zbl 1064.34031Gyllenberg, Mats; Wang, Yi 10 2004 Group defence and the predator’s functional response. Zbl 1258.92035Geritz, S. A. H.; Gyllenberg, M. 10 2013 Mathematical aspects of physiologically structured populations: The contributions of J. A. J. Metz. Zbl 1255.01017Gyllenberg, Mats 9 2007 Evolution of condition-dependent dispersal under kin competition. Zbl 1141.92030Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 9 2008 Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J. 8 2018 A note on global stability of three-dimensional Ricker models. Zbl 1406.37063Gyllenberg, Mats; Jiang, Jifa; Niu, Lei 8 2019 Nonlinearly perturbed regenerative processes and pseudo-stationary phenomena for stochastic systems. Zbl 1028.60067Gyllenberg, Mats; Silvestrov, Dmitrii S. 8 2000 Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 8 2000 When do optimisation arguments make evolutionary sense? Zbl 1379.92037Gyllenberg, Mats; Metz, J. A. J. (Hans); Service, Robert 8 2011 Cramér-Lundberg approximation for nonlinearly perturbed risk processes. Zbl 0956.91044Gyllenberg, Mats; Silvestrov, Dmitrii S. 7 2000 Classification of binary vectors by stochastic complexity. Zbl 1090.62542Gyllenberg, Mats; Koski, Timo; Verlaan, Martin 7 1997 Bayesian unsupervised classification framework based on stochastic partitions of data and a parallel search strategy. Zbl 1231.62031Corander, Jukka; Gyllenberg, Mats; Koski, Timo 7 2009 Floquet bundles for tridiagonal competitive-cooperative systems and the dynamics of time-recurrent systems. Zbl 1283.37032Fang, Chun; Gyllenberg, Mats; Wang, Yi 7 2013 Estimating the transmission dynamics of Streptococcus pneumoniae from strain prevalence data. Zbl 1418.92186Numminen, Elina; Cheng, Lu; Gyllenberg, Mats; Corander, Jukka 7 2013 A Hille-Yosida theorem for a class of weakly \({}^*\) continuous semigroups. Zbl 0727.47025Clément, Ph.; Dieckmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R. 7 1989 Erratum to: “Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example”. Zbl 1403.92324Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Nakaoka, Shinji; de Roos, André M. 7 2017 The generalized Liénard systems. Zbl 1019.34051Gyllenberg, Mats; Ping, Yan 6 2002 Quasi-stationary phenomena for semi-Markov processes. Zbl 0966.60086Gyllenberg, Mats; Silvestrov, Dmitrii S. 6 1999 Quiescence in structured population dynamics. Applications to tumor growth. Zbl 0751.92008Gyllenberg, Mats; Webb, Glenn F. 6 1991 On a conjecture by Yang. Zbl 1028.26014Gyllenberg, Mats; Yan, Ping 6 2001 On the dynamics of multi-species Ricker models admitting a carrying simplex. Zbl 1429.37010Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping 6 2019 Perturbation theory for dual semigroups. III: Nonlinear Lipschitz continuous perturbations in the sunreflexive. Zbl 0675.47036Clément, Ph.; Diekmann, O.; Gyllenberg, M.; Heijmans, H. J. A. M.; Thieme, H. R. 5 1989 Cramér-Lundberg and diffusion approximations for nonlinearly perturbed risk processes including numerical calculation of ruin probabilities. Zbl 0952.60080Gyllenberg, Mats; Silvestrov, Dmitrii S. 5 1999 Null recurrence in a stochastic Ricker model. Zbl 0802.60059Gyllenberg, Mats; Högnäs, Göran; Koski, Timo 5 1994 Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019Diekmann, O.; Gyllenberg, M.; Thieme, H. R. 5 1991 New conditions for the intersection of orbits with the vertical isocline of the Liénard system. Zbl 1176.34034Gyllenberg, Mats; Yan, Ping 5 2009 Evolution of density-dependent dispersal in a structured metapopulation. Zbl 1168.92039Geritz, Stefan A. H.; Gyllenberg, Mats; Ondráček, Petr 5 2009 On a conjecture for three-dimensional competitive Lotka-Volterra systems with a heteroclinic cycle. Zbl 1192.34040Gyllenberg, Mats; Yan, Ping 5 2009 Bayesian predictiveness, exchangeability and sufficientness in bacterial taxonomy. Zbl 1003.62023Gyllenberg, Mats; Koski, Timo 5 2002 Body condition dependent dispersal in a heterogeneous environment. Zbl 1338.92104Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 5 2011 Perturbation theory for dual semigroups. IV: The intertwining formula and the canonical pairing. Zbl 0699.47028Clément, Philippe; Diekmann, Odo; Gyllenberg, Mats; Heijmans, H. J. A. M.; Thieme, H. R. 5 1989 The qualitative behavior of a second-order system with zero diagonal coefficient. Zbl 1048.34065Gyllenberg, Mats; Yan, Ping; Jiang, Jifa 5 2004 Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization. Zbl 1427.65098Gyllenberg, Mats; Scarabel, Francesca; Vermiglio, Rossana 5 2018 Variability within families and the evolution of body-condition-dependent dispersal. Zbl 1403.92176Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 4 2011 On the evolution of patch-type dependent immigration. Zbl 1343.92415Gyllenberg, Mats; Kisdi, Éva; Weigang, Helene C. 4 2016 Probabilistic models for bacterial taxonomy. Zbl 1180.92004Gyllenberg, M.; Koski, T. 4 2001 Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 4 1995 Evolution of specialization in resource utilization in structured metapopulations. Zbl 1154.92041Nurmi, Tuomas; Geritz, Stefan; Parvinen, Kalle; Gyllenberg, Mats 4 2008 The DeAngelis-Beddington functional response and the evolution of timidity of the prey. Zbl 1412.92258Geritz, Stefan A. H.; Gyllenberg, Mats 4 2014 On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 4 2020 Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 4 2020 Random partition models and exchangeability for Bayesian identification of population structure. Zbl 1141.62310Corander, Jukka; Gyllenberg, Mats; Koski, Timo 4 2007 The age structure of populations of cells reproducing by asymmetric division. Zbl 0569.92019Gyllenberg, Mats 3 1985 Bayesian predictive identification and cumulative classification of bacteria. Zbl 1323.92009Gyllenberg, Mats; Koski, Timo; Lund, Tatu; Gyllenberg, Helge G. 3 1999 Numerical taxonomy and the principle of maximum entropy. Zbl 0868.92002Gyllenberg, Mats; Koski, Timo 3 1996 Parameter identification in dynamical models of anaerobic waste water treatment. Zbl 0999.92040Müller, T. G.; Noykova, N.; Gyllenberg, M.; Timmer, J. 3 2002 On the concept of attractor for community-dynamical processes. II: The case of structured populations. Zbl 1029.92024Gyllenberg, Mats; Jacobs, F. J. A.; Metz, J. A. J. 3 2003 The second half – with a quarter of a century delay. Zbl 1337.92173Diekmann, O.; Gyllenberg, M. 3 2008 Adaptive dynamics on an environmental gradient that changes over a geological time-scale. Zbl 1347.92063Fortelius, Mikael; Geritz, Stefan; Gyllenberg, Mats; Toivonen, Jaakko 2 2015 Periodic tridiagonal systems modeling competitive-cooperative ecological interactions. Zbl 1080.34021Gyllenberg, Mats; Wang, Yi 2 2005 Perturbing evolutionary systems on dual spaces by cumulative outputs. Zbl 1211.47014Gyllenberg, Mats; Lant, Timothy; Thieme, Horst R. 2 2006 Vertically transmitted symbionts in structured host metapopulations. Zbl 1334.92340Gyllenberg, Mats; Preoteasa, Diana; Saikkonen, Kari 2 2002 Interactions between different predator-prey states: a method for the derivation of the functional and numerical response. Zbl 1444.92080Berardo, Cecilia; Geritz, Stefan; Gyllenberg, Mats; Raoul, Gaël 2 2020 Body condition dependent dispersal in a heterogeneous environment. Zbl 1403.92325Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 1 2011 Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation. Zbl 1464.35375Scarabel, Francesca; Breda, Dimitri; Diekmann, Odo; Gyllenberg, Mats; Vermiglio, Rossana 1 2021 On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 4 2020 Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 4 2020 Interactions between different predator-prey states: a method for the derivation of the functional and numerical response. Zbl 1444.92080Berardo, Cecilia; Geritz, Stefan; Gyllenberg, Mats; Raoul, Gaël 2 2020 Permanence and universal classification of discrete-time competitive systems via the carrying simplex. Zbl 1432.37116Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping 1 2020 Chaotic attractors in Atkinson-Allen model of four competing species. Zbl 1447.92340Gyllenberg, Mats; Jiang, Jifa; Niu, Lei 1 2020 Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods. Zbl 1470.92105Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca 10 2019 A note on global stability of three-dimensional Ricker models. Zbl 1406.37063Gyllenberg, Mats; Jiang, Jifa; Niu, Lei 8 2019 On the dynamics of multi-species Ricker models admitting a carrying simplex. Zbl 1429.37010Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping 6 2019 On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex. Zbl 1381.37030Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping 11 2018 Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J. 8 2018 Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization. Zbl 1427.65098Gyllenberg, Mats; Scarabel, Francesca; Vermiglio, Rossana 5 2018 Erratum to: “Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example”. Zbl 1403.92324Diekmann, 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 1352.34101Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R. 20 2016 On the evolution of patch-type dependent immigration. Zbl 1343.92415Gyllenberg, Mats; Kisdi, Éva; Weigang, Helene C. 4 2016 Group actions on monotone skew-product semiflows with applications. Zbl 1339.37084Cao, Feng; Gyllenberg, Mats; Wang, Yi 1 2016 Adaptive dynamics on an environmental gradient that changes over a geological time-scale. Zbl 1347.92063Fortelius, Mikael; Geritz, Stefan; Gyllenberg, Mats; Toivonen, Jaakko 2 2015 Non-hyperbolic minimal sets for tridiagonal competitive-cooperative systems. Zbl 1358.37042Fang, Chun; Gyllenberg, Mats; Wang, Yi 1 2015 The DeAngelis-Beddington functional response and the evolution of timidity of the prey. Zbl 1412.92258Geritz, Stefan A. H.; Gyllenberg, Mats 4 2014 Group defence and the predator’s functional response. Zbl 1258.92035Geritz, S. A. H.; Gyllenberg, M. 10 2013 Floquet bundles for tridiagonal competitive-cooperative systems and the dynamics of time-recurrent systems. Zbl 1283.37032Fang, Chun; Gyllenberg, Mats; Wang, Yi 7 2013 Estimating the transmission dynamics of Streptococcus pneumoniae from strain prevalence data. Zbl 1418.92186Numminen, Elina; Cheng, Lu; Gyllenberg, Mats; Corander, Jukka 7 2013 Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133Diekmann, Odo; Gyllenberg, Mats 42 2012 A mechanistic derivation of the DeAngelis-Beddington functional response. Zbl 1397.92571Geritz, Stefan; Gyllenberg, Mats 20 2012 An eco-epidemiological model in two competing species. Zbl 1266.34086Gyllenberg, Mats; Liu, Xiaoli; Yan, Ping 1 2012 Necessary and sufficient conditions for the existence of an optimisation principle in evolution. Zbl 1232.92059Gyllenberg, Mats; Service, Robert 13 2011 When do optimisation arguments make evolutionary sense? Zbl 1379.92037Gyllenberg, Mats; Metz, J. A. J. (Hans); Service, Robert 8 2011 Body condition dependent dispersal in a heterogeneous environment. Zbl 1338.92104Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 5 2011 Variability within families and the evolution of body-condition-dependent dispersal. Zbl 1403.92176Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 4 2011 Body condition dependent dispersal in a heterogeneous environment. Zbl 1403.92325Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 1 2011 On the evolution of the timing of reproduction with non-equilibrium resident dynamics. Zbl 1215.92049Eskola, Hanna T. M.; Geritz, Stefan A. H.; Gyllenberg, Mats 1 2011 Asymptotic behaviour of comparable skew-product semiflows with applications. Zbl 1272.37016Cao, Feng; Gyllenberg, Mats; Wang, Yi 1 2011 Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example. Zbl 1208.92082Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Nakaoka, Shinji; de Roos, Andre M. 44 2010 Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle. Zbl 1189.34080Gyllenberg, Mats; Yan, Ping 23 2009 On the number of limit cycles for three dimensional Lotka-Volterra systems. Zbl 1163.34337Gyllenberg, Mats; Yan, Ping 14 2009 Bayesian unsupervised classification framework based on stochastic partitions of data and a parallel search strategy. Zbl 1231.62031Corander, Jukka; Gyllenberg, Mats; Koski, Timo 7 2009 New conditions for the intersection of orbits with the vertical isocline of the Liénard system. Zbl 1176.34034Gyllenberg, Mats; Yan, Ping 5 2009 Evolution of density-dependent dispersal in a structured metapopulation. Zbl 1168.92039Geritz, Stefan A. H.; Gyllenberg, Mats; Ondráček, Petr 5 2009 On a conjecture for three-dimensional competitive Lotka-Volterra systems with a heteroclinic cycle. Zbl 1192.34040Gyllenberg, Mats; Yan, Ping 5 2009 Ecology and evolution of symbiosis in metapopulations. Zbl 1155.92040Gyllenberg, Mats; Preoteasa, Diana; Yan, Ping 1 2009 Abstract delay equations inspired by population dynamics. Zbl 1167.47058Diekmann, Odo; Gyllenberg, Mats 23 2008 Quasi-stationary phenomena in nonlinearity perturbed stochastic systems. Zbl 1175.60002Gyllenberg, Mats; Silvestrov, Dmitrii S. 17 2008 Evolution of condition-dependent dispersal under kin competition. Zbl 1141.92030Gyllenberg, Mats; Kisdi, Éva; Utz, Margarete 9 2008 Evolution of specialization in resource utilization in structured metapopulations. Zbl 1154.92041Nurmi, Tuomas; Geritz, Stefan; Parvinen, Kalle; Gyllenberg, Mats 4 2008 The second half – with a quarter of a century delay. Zbl 1337.92173Diekmann, O.; Gyllenberg, M. 3 2008 Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. Zbl 1149.39021Diekmann, Odo; Getto, Philipp; Gyllenberg, Mats 67 2007 Mathematical aspects of physiologically structured populations: The contributions of J. A. J. Metz. Zbl 1255.01017Gyllenberg, Mats 9 2007 Random partition models and exchangeability for Bayesian identification of population structure. Zbl 1141.62310Corander, Jukka; Gyllenberg, Mats; Koski, Timo 4 2007 Competitive exclusion and limiting similarity: A unified theory. Zbl 1085.92048Meszéna, Géza; Gyllenberg, Mats; Pásztor, Liz; Metz, Johan A. J. 38 2006 A 3D competitive Lotka-Volterra system with three limit cycles: a falsification of a conjecture by Hofbauer and So. Zbl 1085.34025Gyllenberg, Mats; Yan, Ping; Wang, Yi 34 2006 Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems. Zbl 1111.34027Gyllenberg, Mats; Yan, Ping; Wang, Yi 14 2006 Perturbing evolutionary systems on dual spaces by cumulative outputs. Zbl 1211.47014Gyllenberg, Mats; Lant, Timothy; Thieme, Horst R. 2 2006 On a conjecture of Qi-type integral inequalities. Zbl 1182.26070Yan, Ping; Gyllenberg, Mats 1 2006 On an open problem of integral inequalities. Zbl 1232.26048Yan, Ping; Gyllenberg, Mats 1 2006 Model-based analysis of mechanisms responsible for sleep-induced carbon dioxide differences. Zbl 1334.92087Aittokallio, T.; Gyllenberg, M.; Polo, O.; Toivonen, J.; Virkki, A. 1 2006 On the impossibility of coexistence of infinitely many strategies. Zbl 1080.92060Gyllenberg, Mats; Meszéna, Géza 19 2005 Periodic tridiagonal systems modeling competitive-cooperative ecological interactions. Zbl 1080.34021Gyllenberg, Mats; Wang, Yi 2 2005 Dynamics of the periodic type-\(K\) competitive Kolmogorov systems. Zbl 1064.34031Gyllenberg, Mats; Wang, Yi 10 2004 The qualitative behavior of a second-order system with zero diagonal coefficient. Zbl 1048.34065Gyllenberg, Mats; Yan, Ping; Jiang, Jifa 5 2004 Steady-state analysis of structured population models. Zbl 1098.92062Diekmann, O.; Gyllenberg, M.; Metz, J. A. J. 70 2003 On the concept of attractor for community-dynamical processes. II: The case of structured populations. Zbl 1029.92024Gyllenberg, Mats; Jacobs, F. J. A.; Metz, J. A. J. 3 2003 Invasion dynamics and attractor inheritance. Zbl 0990.92029Geritz, S. A. H.; Gyllenberg, M.; Jacobs, F. J. A.; Parvinen, K. 55 2002 Evolutionary suicide and evolution of dispersal in structured metapopulations. Zbl 1014.92025Gyllenberg, Mats; Parvinen, Kalle; Dieckmann, Ulf 28 2002 The inverse problem of linear age-structured population dynamics. Zbl 1054.35128Gyllenberg, Mats; Osipov, Andrei; Päivärinta, Lassi 14 2002 The generalized Liénard systems. Zbl 1019.34051Gyllenberg, Mats; Ping, Yan 6 2002 Bayesian predictiveness, exchangeability and sufficientness in bacterial taxonomy. Zbl 1003.62023Gyllenberg, Mats; Koski, Timo 5 2002 Parameter identification in dynamical models of anaerobic waste water treatment. Zbl 0999.92040Müller, T. G.; Noykova, N.; Gyllenberg, M.; Timmer, J. 3 2002 Vertically transmitted symbionts in structured host metapopulations. Zbl 1334.92340Gyllenberg, Mats; Preoteasa, Diana; Saikkonen, Kari 2 2002 Adjustment of the human respiratory system to increased upper airway resistance during sleep. Zbl 1334.92086Aittokallio, T.; Gyllenberg, M.; Polo, O. 1 2002 On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. Zbl 1028.92019Diekmann, O.; Gyllenberg, M.; Huang, H.; Kirkilionis, M.; Metz, J. A. J. 94 2001 On fitness in structured metapopulations. Zbl 0995.92034Gyllenberg, Mats; Metz, J. A. J. 40 2001 Necessary and sufficient conditions for evolutionary suicide. Zbl 1323.92141Gyllenberg, Mats; Parvinen, Kalle 33 2001 On a conjecture by Yang. Zbl 1028.26014Gyllenberg, Mats; Yan, Ping 6 2001 Probabilistic models for bacterial taxonomy. Zbl 1180.92004Gyllenberg, M.; Koski, T. 4 2001 A model of a snorer’s upper airway. Zbl 0974.92007Aittokallio, Tero; Gyllenberg, Mats; Polo, Olli 1 2001 Nonlinearly perturbed regenerative processes and pseudo-stationary phenomena for stochastic systems. Zbl 1028.60067Gyllenberg, Mats; Silvestrov, Dmitrii S. 8 2000 Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 8 2000 Cramér-Lundberg approximation for nonlinearly perturbed risk processes. Zbl 0956.91044Gyllenberg, Mats; Silvestrov, Dmitrii S. 7 2000 Allee effects can both conserve and create spatial heterogeneity in population densities. Zbl 0962.92038Gyllenberg, M.; Hemminki, J.; Tammaru, T. 20 1999 Quasi-stationary phenomena for semi-Markov processes. Zbl 0966.60086Gyllenberg, Mats; Silvestrov, Dmitrii S. 6 1999 Cramér-Lundberg and diffusion approximations for nonlinearly perturbed risk processes including numerical calculation of ruin probabilities. Zbl 0952.60080Gyllenberg, Mats; Silvestrov, Dmitrii S. 5 1999 Bayesian predictive identification and cumulative classification of bacteria. Zbl 1323.92009Gyllenberg, 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 0909.92023Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst R. 84 1998 Ontogenetic scaling of foraging rates and the dynamics of a size-structured consumer-resource model. Zbl 0954.92032Persson, 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 0890.92022Gyllenberg, Mats; Hanski, Ilkka 20 1997 Continuous versus discrete single species population models with adjustable reproductive strategies. Zbl 0903.92019Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten 15 1997 Classification of binary vectors by stochastic complexity. Zbl 1090.62542Gyllenberg, Mats; Koski, Timo; Verlaan, Martin 7 1997 Bifurcation analysis of a metapopulation model with sources and sinks. Zbl 0927.37028Gyllenberg, M.; Osipov, A. V.; Söderbacka, G. 17 1996 A predator-prey model with optimal suppression of reproduction in the prey. Zbl 0851.92020Gyllenberg, Mats; Hanski, Ilkka; Lindström, Torsten 13 1996 Numerical taxonomy and the principle of maximum entropy. Zbl 0868.92002Gyllenberg, Mats; Koski, Timo 3 1996 Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 4 1995 Quasi-stationary distributions of a stochastic metapopulation model. Zbl 0816.92016Gyllenberg, Mats; Silvestrov, Dmitrij S. 19 1994 Non-uniqueness in probabilistic numerical identification of bacteria. Zbl 0817.92002Gyllenberg, Mats; Koski, Timo; Reilink, Edwin; Verlaan, Martin 13 1994 Population models with environmental stochasticity. Zbl 0799.92021Gyllenberg, Mats; Högnäs, Göran; Koski, Timo 11 1994 Null recurrence in a stochastic Ricker model. Zbl 0802.60059Gyllenberg, Mats; Högnäs, Göran; Koski, Timo 5 1994 Does migration stabilize local population dynamics? Analysis of a discrete metapopulation model. Zbl 0784.92019Gyllenberg, Mats; Söderbacka, Gunnar; Ericsson, Stefan 56 1993 Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 13 1993 The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst 11 1993 Single-species metapopulation dynamics: A structured model. Zbl 0758.92011Gyllenberg, Mats; Hanski, Ilkka 29 1992 ...and 16 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,171 Authors 66 Gyllenberg, Mats 37 Diekmann, Odo 23 Kisdi, Éva 20 Metz, Johan A. Jacob 20 Thieme, Horst R. 18 Geritz, Stefan A. H. 18 Parvinen, Kalle 15 Breda, Dimitri 14 Jiang, Jifa 14 Niu, Lei 13 Dieckmann, Ulf 12 Calsina, Àngel 12 de Roos, André M. 11 Corander, Jukka 11 Silvestrov, Dmitrii 11 Vermiglio, Rossana 11 Webb, Glenn Francis 11 Yan, Ping 10 Fu, Xianlong 10 Getto, Philipp 10 Schreiber, Sebastian J. 9 Farkas, József Zoltán 9 Koski, Timo J. T. 9 Perthame, Benoît 9 Ruiz-Herrera, Alfonso 8 Nakaoka, Shinji 8 Scarabel, Francesca 8 Wang, Yi 7 Inaba, Hisashi 7 Kang, Yun 7 Meszéna, Géza 7 Yan, Dongxue 6 Heijmans, Henk J. A. M. 6 Lindström, Torsten 6 Nurmi, Tuomas 6 Rudnicki, Ryszard 6 Takeuchi, Yasuhiro 6 Utz, Margarete 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 Méléard, Sylvie 5 Petersson, Mikael 5 Pugliese, Andrea 5 Ripoll, Jordi 5 Ruan, Shigui 5 Silvestrov, Sergei D. 5 Venturino, Ezio 5 Verduyn Lunel, Sjoerd M. 5 Wakano, Joe Yuichiro 5 Zu, Jian 4 Andò, Alessia 4 Argasinski, Krzysztof 4 Champagnat, Nicolas 4 Gwiazda, Piotr 4 Kaslik, Eva 4 Kirkilionis, Markus A. 4 Lam, King-Yeung 4 Liessi, Davide 4 Liu, Zijian 4 Lou, Yuan 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 Wu, Jianhong 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 Benaïm, Michel 3 Carrillo de la Plata, José Antonio 3 Chen, Chiun-Chuan 3 Clément, Philippe J. E. 3 Dercole, Fabio 3 Doumic, Marie 3 Dyson, Janet 3 Ferriere, Regis ...and 1,071 more Authors all top 5 Cited in 173 Serials 117 Journal of Mathematical Biology 75 Journal of Theoretical Biology 65 Theoretical Population Biology 48 Bulletin of Mathematical Biology 40 Mathematical Biosciences 29 Journal of Differential Equations 25 Discrete and Continuous Dynamical Systems. Series B 24 Journal of Mathematical Analysis and Applications 21 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 11 Applied Mathematics and Computation 10 Journal of Difference Equations and Applications 10 Mathematical Modelling of Natural Phenomena 8 Acta Applicandae Mathematicae 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Mathematical Biosciences and Engineering 7 Computers & Mathematics with Applications 7 Physica D 7 Journal of Dynamics and Differential Equations 6 Chaos, Solitons and Fractals 6 Journal of Computational and Applied Mathematics 6 Proceedings of the American Mathematical Society 6 Semigroup Forum 5 Applied Mathematics Letters 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 International Journal of Biomathematics 4 Mathematical Methods in the Applied Sciences 4 Mathematics and Computers in Simulation 4 The Annals of Applied Probability 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 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 Communications in Nonlinear Science and Numerical Simulation 3 Advances in Applied Probability 3 The Annals of Statistics 3 Mathematische Annalen 3 SIAM Journal on Numerical Analysis 3 Acta Mathematicae Applicatae Sinica. English Series 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 Advances in Difference Equations 3 Statistics and Computing 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 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 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 Bayesian Analysis 2 Evolution Equations and Control Theory 2 Journal of Computational 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 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 ...and 73 more Serials all top 5 Cited in 38 Fields 671 Biology and other natural sciences (92-XX) 211 Ordinary differential equations (34-XX) 163 Dynamical systems and ergodic theory (37-XX) 143 Partial differential equations (35-XX) 91 Probability theory and stochastic processes (60-XX) 80 Operator theory (47-XX) 62 Numerical analysis (65-XX) 56 Integral equations (45-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 46 Difference and functional equations (39-XX) 42 Statistics (62-XX) 15 Systems theory; control (93-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Real functions (26-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Operations research, mathematical programming (90-XX) 7 Computer science (68-XX) 6 Combinatorics (05-XX) 5 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. Updates and corrections should be made in Wikidata.