Edit Profile (opens in new tab) Metz, Johan A. Jacob Compute Distance To: Compute Author ID: metz.johan-a-jacob Published as: Metz, J. A. J.; Metz, Johan A. J.; Metz, Hans; Metz, J. A. J. (Hans); Metz, Hans A. J.; Metz, Johan A. Jacob; Metz, Johan A. J more...less Homepage: https://www.universiteitleiden.nl/en/staffmembers/hans-metz#tab-1 External Links: MGP Documents Indexed: 66 Publications since 1978, including 1 Book 7 Contributions as Editor Biographic References: 1 Publication Co-Authors: 56 Co-Authors with 69 Joint Publications 734 Co-Co-Authors all top 5 Co-Authors 2 single-authored 24 Diekmann, Odo 14 Gyllenberg, Mats 7 Dieckmann, Ulf 5 de Roos, André M. 5 Geritz, Stefan A. H. 5 Heesterbeek, J. A. P. 4 Rueffler, Claus 3 Jacobs, F. J. A. 3 Meszéna, Géza 3 Thieme, Horst R. 3 van Batenburg, F. H. D. 3 van den Bosch, Frank 2 de Jong, Tom J. 2 Doebeli, Michael 2 Geise, Gerhard 2 Grossmann, Christian 2 Heijmans, Henk J. A. M. 2 Klinkhamer, P. G. L. 2 Lauwerier, Hans Adolf 2 Nakaoka, Shinji 2 Nisbet, Roger M. 2 Parvinen, Kalle 2 Sabelis, Maurice W. 2 Tautz, Diethard 2 Tran, Viet Chi 2 Van Dooren, Tom J. M. 2 Winkler, Wolfgang 1 Aldenberg, Tom 1 Bravo de la Parra, Rafael 1 Collet, Pierre 1 De Boer, Rob J. 1 de Jong, Mart C. M. 1 de Jonge, Gerrit 1 de Koeijer, Aline 1 Deutsch, Andreas 1 Dienske, Herman 1 Durinx, Michel 1 Evers, E. 1 Goudriaan, J. 1 Gourney, W. S. C. 1 Gupta, Ankit 1 Gurney, William S. C. 1 Heesterbeek, Hans 1 Ito, Hiroshi C. 1 Jagers, Peter 1 Johansson, Jacob 1 Kirkilionis, Markus A. 1 Kisdi, Éva 1 Koch, A. L. 1 Kooijman, Sebastiaan A. L. M. 1 Kornet, D. J. 1 Kretzschmar, Mirjam 1 Lánský, Petr 1 Law, Richard 1 Leimar, Olof 1 Leipoldt, A. 1 Méléard, Sylvie 1 Pásztor, Liz 1 Persson, Lennart 1 Putters, Felix A. 1 Schellinx, H. A. J. M. 1 Service, Robert 1 Sigmund, Karl 1 Staňková, Kateřina 1 Val, John 1 van der Meijden, Ed 1 van Heerwaarden, J. S. 1 Voorn, Wim J. 1 Zadoks, J. C. 1 Zonneveld, C. G. S. M. all top 5 Serials 29 Journal of Mathematical Biology 9 Theoretical Population Biology 2 Acta Applicandae Mathematicae 2 IMA Journal of Mathematics Applied in Medicine and Biology 2 CWI Quarterly 2 The Canadian Applied Mathematics Quarterly 1 Bulletin of Mathematical Biology 1 Journal of Applied Probability 1 SIAM Journal on Mathematical Analysis 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Journal of Dynamics and Differential Equations 1 Lecture Notes in Biomathematics 1 Journal of Biological Dynamics 1 Journal of Theoretical Biology 1 Modeling and Simulation in Science, Engineering and Technology all top 5 Fields 71 Biology and other natural sciences (92-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 9 Probability theory and stochastic processes (60-XX) 6 Integral equations (45-XX) 5 Partial differential equations (35-XX) 5 Operator theory (47-XX) 5 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 1 Measure and integration (28-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 64 Publications have been cited 2,897 times in 2,234 Documents Cited by ▼ Year ▼ On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations. Zbl 0726.92018Diekmann, O.; Heesterbeek, J. A. P.; Metz, J. A. J. 1,285 1990 The dynamics of physiologically structured populations. Zbl 0614.92014 396 1986 Adaptive dynamics, a geometrical study of the consequences of nearly faithful reproduction. Zbl 0972.92024Metz, J. A. J.; Geritz, S. A. H.; Meszéna, G.; Jacobs, F. J. A.; van Heerwaarden, J. S. 163 1996 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. 99 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. 87 1998 Steady-state analysis of structured population models. Zbl 1098.92062Diekmann, O.; Gyllenberg, M.; Metz, J. A. J. 72 2003 The saturating contact rate in marriage- and epidemic models. Zbl 0770.92021Heesterbeek, J. A. P.; Metz, J. A. J. 57 1993 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. 50 2010 Evolutionary dynamics of seed size and seedling competitive ability. Zbl 0946.92015Geritz, Stefan A. H.; van der Meijden, Ed; Metz, Johan A. J. 50 1999 On fitness in structured metapopulations. Zbl 0995.92034Gyllenberg, Mats; Metz, J. A. J. 41 2001 Adaptive dynamics for physiologically structured population models. Zbl 1146.92027Durinx, Michel; Metz, J. A. J. (Hans); Meszéna, Géza 41 2008 The velocity of spatial population expansion. Zbl 0732.92026van den Bosch, F.; Metz, J. A. J.; Diekmann, O. 38 1990 Competitive exclusion and limiting similarity: A unified theory. Zbl 1085.92048Meszéna, Géza; Gyllenberg, Mats; Pásztor, Liz; Metz, Johan A. J. 37 2006 A deterministic epidemic model taking account of repeated contacts between the same individuals. Zbl 0940.92023Diekmann, O.; De Jong, M. C. M.; Metz, J. A. J. 37 1998 A size dependent predator-prey interaction: Who pursues whom? Zbl 0718.92026De Roos, A. M.; Metz, J. A. J.; Evers, E.; Leipoldt, A. 36 1990 Adaptive walks on changing landscapes: Levins’ approach extended. Zbl 1106.92057Rueffler, C.; Van Dooren, T. J. M.; Metz, J. A. J. 28 2004 The legacy of Kermack and McKendrick. Zbl 0839.92018Diekmann, Odo; Heesterbeek, Hans; Metz, Hans 27 1995 The geometry of ecological interactions: simplifying spatial complexity. 1st paperback ed. Zbl 1170.92339 27 2005 Surprising evolutionary predictions from enhanced ecological realism. Zbl 1117.92044Dieckmann, Ulf; Metz, Johan A. J. 25 2006 Growth, fission and the stable size distribution. Zbl 0533.92016Diekmann, O.; Lauwerier, H. A.; Aldenberg, T.; Metz, J. A. J. 21 1983 Adaptive dynamics of infectious diseases. In pursuit of virulence management. Zbl 1228.92050 20 2002 A rigorous model study of the adaptive dynamics of Mendelian diploids. Zbl 1300.92075Collet, Pierre; Méléard, Sylvie; Metz, Johan A. J. 19 2013 Adaptive speciation. Zbl 1141.92331 17 2004 A novel fitness proxy in structured locally finite metapopulations with diploid genetics, with an application to dispersal evolution. Zbl 1210.92025Parvinen, Kalle; Metz, Johan A. J. 17 2008 Hopf bifurcation in host-parasitoid models. Zbl 0609.92029Lauwerier, H. A.; Metz, J. A. J. 13 1986 Exact finite dimensional representations of models for physiologically structured populations. I: The abstract foundations of linear chain trickery. Zbl 0766.92017Metz, J. A. J.; Diekmann, O. 12 1991 The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst 11 1993 Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J. 10 2018 Holling’s ”hungry mantid” model for the invertebrate functional response considered as a Markov process. I: The full model and some of its limits. Zbl 0616.92008Metz, J. A. J.; van Batenburg, F. H. D. 10 1985 A simple fitness proxy for structured populations with continuous traits, with case studies on the evolution of haplo-diploids and genetic dimorphisms. Zbl 1403.92182Metz, J. A. J.; Leimar, Olof 10 2011 Mutual invadability near evolutionarily singular strategies for multivariate traits, with special reference to the strongly convergence stable case. Zbl 1365.92074Geritz, Stefan A. H.; Metz, Johan A. J.; Rueffler, Claus 9 2016 On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 8 2020 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. 8 2017 A singular perturbation theorem for evolution equations and time-scale arguments for structured population models. Zbl 0828.60069Greiner, G.; Heesterbeek, J. A. P.; Metz, J. A. J. 8 1994 When do optimisation arguments make evolutionary sense? Zbl 1379.92037Gyllenberg, Mats; Metz, J. A. J. (Hans); Service, Robert 8 2011 Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 7 2020 The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin’s maximum principle. Zbl 1365.92077Metz, Johan A. Jacob; Staňková, Kateřina; Johansson, Jacob 7 2016 Holling’s ”hungry mantid” model for the invertebrate functional response considered as a Markov process. II: Negligible handling time. Zbl 0616.92009Metz, J. A. J.; van Batenburg, F. H. D. 6 1985 Frequency dependence 3.0: an attempt at codifying the evolutionary ecology perspective. Zbl 1337.92151Metz, Johan A. J.; Geritz, Stefan A. H. 6 2016 Velocities of epidemic spread. Zbl 0843.92022Metz, J. A. J.; van den Bosch, F. 6 1995 Stage-structure models of populations with distinct growth and development processes. Zbl 0613.92019Nisbet, R. M.; Blythe, S. P.; Gurney, W. S. C.; Metz, J. A. J. 4 1985 Life history tactics of annual organisms: The joint effects of dispersal and delayed germination. Zbl 0614.92017Klinkhamer, P. G. L.; de Jong, T. J.; Metz, J. A. J.; Val, J. 4 1987 Necessary and sufficient conditions for \(R_0\) to be a sum of contributions of fertility loops. Zbl 1329.92109Rueffler, Claus; Metz, Johan A. J. 4 2013 Ontogenetic symmetry and asymmetry in energetics. Zbl 1329.92104De Roos, André M.; Metz, Johan A. J.; Persson, Lennart 4 2013 What life cycle graphs can tell about the evolution of life histories. Zbl 1258.92028Rueffler, Claus; Metz, Johan A. J.; Van Dooren, Tom J. M. 4 2013 Internodons as equivalence classes in genealogical networks: Building- blocks for a rigorous species concept. Zbl 0836.92014Kornet, D. J.; Metz, J. A. J.; Schellinx, H. A. J. M. 4 1995 Competition in safe-sites. Zbl 0638.92022Geritz, S. A. H.; Metz, J. A. J.; Klinkhamer, P. G. L.; de Jong, T. J. 4 1988 Continuum population dynamics with an application to Daphnia magra. Zbl 0534.92022Diekmann, O.; Metz, J. A. J.; Kooijman, S. A. L. M.; Heijmans, H. J. A. M. 4 1984 Holling’s ”hungry mantid” model for the invertebrate functional response considered as a Markov process. Part 0: A survey of the main ideas and results. Zbl 0538.92021Metz, J. A. J.; van Batenburg, F. H. D. 4 1984 Models on butterfly protandry: Virgin females are at risk to die. Zbl 0737.92028Zonneveld, C.; Metz, J. A. J. 3 1991 Reflections and calculations on a prey-predator-patch problem. Zbl 0673.92012Diekmann, O.; Metz, J. A. J.; Sabelis, M. W. 3 1989 Small parameters in structured population models and the Trotter-Kato theorem. Zbl 0696.92017Heijmans, H. J. A. M.; Metz, J. A. J. 3 1989 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 On the concept of individual in ecology and evolution. Zbl 1259.92078Metz, J. A. J. 3 2013 On the reciprocal relationship between life histories and population dynamics. Zbl 0818.92015Diekmann, Odo; Metz, J. A. J. 3 1994 Exploring linear chain trickery for physiologically structured populations. Zbl 0664.92014Diekmann, Odo; Metz, Hans 3 1989 A new proof for the convergence of an individual based model to the trait substitution sequence. Zbl 1310.92038Gupta, Ankit; Metz, J. A. J.; Tran, Viet Chi 2 2014 Daphnias: from the individual based model to the large population equation. Zbl 1329.92144Metz, J. A. J.; Tran, Viet Chi 2 2013 On the final size of epidemics within herds. Zbl 0852.92019Diekmann, O.; de Koeijer, A. A.; Metz, J. A. J. 2 1996 Towards a numerical analysis of the escalator boxcar train. Zbl 0742.92016De Roos, A. M.; Metz, J. A. J. 1 1991 On the concept of attractor for community-dynamical processes. I: The case of unstructured populations. Zbl 1023.92035Jacobs, F. J. A.; Metz, J. A. J. 1 2003 Lotka-Volterra approximations for evolutionary trait-substitution processes. Zbl 1443.92130Ito, Hiroshi C.; Dieckmann, Ulf; Metz, Johan A. J. 1 2020 Adaptive speciation. Reprint of the 2004 hardback ed. Zbl 1239.92074 1 2012 Continental expansion of plant disease: a survey of some recent results. Zbl 1102.92309van den Bosch, F.; Zadoks, J. C.; Metz, J. A. J. 1 1994 On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 8 2020 Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 7 2020 Lotka-Volterra approximations for evolutionary trait-substitution processes. Zbl 1443.92130Ito, Hiroshi C.; Dieckmann, Ulf; Metz, Johan A. J. 1 2020 Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J. 10 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. 8 2017 Mutual invadability near evolutionarily singular strategies for multivariate traits, with special reference to the strongly convergence stable case. Zbl 1365.92074Geritz, Stefan A. H.; Metz, Johan A. J.; Rueffler, Claus 9 2016 The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin’s maximum principle. Zbl 1365.92077Metz, Johan A. Jacob; Staňková, Kateřina; Johansson, Jacob 7 2016 Frequency dependence 3.0: an attempt at codifying the evolutionary ecology perspective. Zbl 1337.92151Metz, Johan A. J.; Geritz, Stefan A. H. 6 2016 A new proof for the convergence of an individual based model to the trait substitution sequence. Zbl 1310.92038Gupta, Ankit; Metz, J. A. J.; Tran, Viet Chi 2 2014 A rigorous model study of the adaptive dynamics of Mendelian diploids. Zbl 1300.92075Collet, Pierre; Méléard, Sylvie; Metz, Johan A. J. 19 2013 Necessary and sufficient conditions for \(R_0\) to be a sum of contributions of fertility loops. Zbl 1329.92109Rueffler, Claus; Metz, Johan A. J. 4 2013 Ontogenetic symmetry and asymmetry in energetics. Zbl 1329.92104De Roos, André M.; Metz, Johan A. J.; Persson, Lennart 4 2013 What life cycle graphs can tell about the evolution of life histories. Zbl 1258.92028Rueffler, Claus; Metz, Johan A. J.; Van Dooren, Tom J. M. 4 2013 On the concept of individual in ecology and evolution. Zbl 1259.92078Metz, J. A. J. 3 2013 Daphnias: from the individual based model to the large population equation. Zbl 1329.92144Metz, J. A. J.; Tran, Viet Chi 2 2013 Adaptive speciation. Reprint of the 2004 hardback ed. Zbl 1239.92074 1 2012 A simple fitness proxy for structured populations with continuous traits, with case studies on the evolution of haplo-diploids and genetic dimorphisms. Zbl 1403.92182Metz, J. A. J.; Leimar, Olof 10 2011 When do optimisation arguments make evolutionary sense? Zbl 1379.92037Gyllenberg, Mats; Metz, J. A. J. (Hans); Service, Robert 8 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. 50 2010 Adaptive dynamics for physiologically structured population models. Zbl 1146.92027Durinx, Michel; Metz, J. A. J. (Hans); Meszéna, Géza 41 2008 A novel fitness proxy in structured locally finite metapopulations with diploid genetics, with an application to dispersal evolution. Zbl 1210.92025Parvinen, Kalle; Metz, Johan A. J. 17 2008 Competitive exclusion and limiting similarity: A unified theory. Zbl 1085.92048Meszéna, Géza; Gyllenberg, Mats; Pásztor, Liz; Metz, Johan A. J. 37 2006 Surprising evolutionary predictions from enhanced ecological realism. Zbl 1117.92044Dieckmann, Ulf; Metz, Johan A. J. 25 2006 The geometry of ecological interactions: simplifying spatial complexity. 1st paperback ed. Zbl 1170.92339 27 2005 Adaptive walks on changing landscapes: Levins’ approach extended. Zbl 1106.92057Rueffler, C.; Van Dooren, T. J. M.; Metz, J. A. J. 28 2004 Adaptive speciation. Zbl 1141.92331 17 2004 Steady-state analysis of structured population models. Zbl 1098.92062Diekmann, O.; Gyllenberg, M.; Metz, J. A. J. 72 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 On the concept of attractor for community-dynamical processes. I: The case of unstructured populations. Zbl 1023.92035Jacobs, F. J. A.; Metz, J. A. J. 1 2003 Adaptive dynamics of infectious diseases. In pursuit of virulence management. Zbl 1228.92050 20 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. 99 2001 On fitness in structured metapopulations. Zbl 0995.92034Gyllenberg, Mats; Metz, J. A. J. 41 2001 Evolutionary dynamics of seed size and seedling competitive ability. Zbl 0946.92015Geritz, Stefan A. H.; van der Meijden, Ed; Metz, Johan A. J. 50 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. 87 1998 A deterministic epidemic model taking account of repeated contacts between the same individuals. Zbl 0940.92023Diekmann, O.; De Jong, M. C. M.; Metz, J. A. J. 37 1998 Adaptive dynamics, a geometrical study of the consequences of nearly faithful reproduction. Zbl 0972.92024Metz, J. A. J.; Geritz, S. A. H.; Meszéna, G.; Jacobs, F. J. A.; van Heerwaarden, J. S. 163 1996 On the final size of epidemics within herds. Zbl 0852.92019Diekmann, O.; de Koeijer, A. A.; Metz, J. A. J. 2 1996 The legacy of Kermack and McKendrick. Zbl 0839.92018Diekmann, Odo; Heesterbeek, Hans; Metz, Hans 27 1995 Velocities of epidemic spread. Zbl 0843.92022Metz, J. A. J.; van den Bosch, F. 6 1995 Internodons as equivalence classes in genealogical networks: Building- blocks for a rigorous species concept. Zbl 0836.92014Kornet, D. J.; Metz, J. A. J.; Schellinx, H. A. J. M. 4 1995 A singular perturbation theorem for evolution equations and time-scale arguments for structured population models. Zbl 0828.60069Greiner, G.; Heesterbeek, J. A. P.; Metz, J. A. J. 8 1994 On the reciprocal relationship between life histories and population dynamics. Zbl 0818.92015Diekmann, Odo; Metz, J. A. J. 3 1994 Continental expansion of plant disease: a survey of some recent results. Zbl 1102.92309van den Bosch, F.; Zadoks, J. C.; Metz, J. A. J. 1 1994 The saturating contact rate in marriage- and epidemic models. Zbl 0770.92021Heesterbeek, J. A. P.; Metz, J. A. J. 57 1993 The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst 11 1993 Exact finite dimensional representations of models for physiologically structured populations. I: The abstract foundations of linear chain trickery. Zbl 0766.92017Metz, J. A. J.; Diekmann, O. 12 1991 Models on butterfly protandry: Virgin females are at risk to die. Zbl 0737.92028Zonneveld, C.; Metz, J. A. J. 3 1991 Towards a numerical analysis of the escalator boxcar train. Zbl 0742.92016De Roos, A. M.; Metz, J. A. J. 1 1991 On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations. Zbl 0726.92018Diekmann, O.; Heesterbeek, J. A. P.; Metz, J. A. J. 1,285 1990 The velocity of spatial population expansion. Zbl 0732.92026van den Bosch, F.; Metz, J. A. J.; Diekmann, O. 38 1990 A size dependent predator-prey interaction: Who pursues whom? Zbl 0718.92026De Roos, A. M.; Metz, J. A. J.; Evers, E.; Leipoldt, A. 36 1990 Reflections and calculations on a prey-predator-patch problem. Zbl 0673.92012Diekmann, O.; Metz, J. A. J.; Sabelis, M. W. 3 1989 Small parameters in structured population models and the Trotter-Kato theorem. Zbl 0696.92017Heijmans, H. J. A. M.; Metz, J. A. J. 3 1989 Exploring linear chain trickery for physiologically structured populations. Zbl 0664.92014Diekmann, Odo; Metz, Hans 3 1989 Competition in safe-sites. Zbl 0638.92022Geritz, S. A. H.; Metz, J. A. J.; Klinkhamer, P. G. L.; de Jong, T. J. 4 1988 Life history tactics of annual organisms: The joint effects of dispersal and delayed germination. Zbl 0614.92017Klinkhamer, P. G. L.; de Jong, T. J.; Metz, J. A. J.; Val, J. 4 1987 The dynamics of physiologically structured populations. Zbl 0614.92014 396 1986 Hopf bifurcation in host-parasitoid models. Zbl 0609.92029Lauwerier, H. A.; Metz, J. A. J. 13 1986 Holling’s ”hungry mantid” model for the invertebrate functional response considered as a Markov process. I: The full model and some of its limits. Zbl 0616.92008Metz, J. A. J.; van Batenburg, F. H. D. 10 1985 Holling’s ”hungry mantid” model for the invertebrate functional response considered as a Markov process. II: Negligible handling time. Zbl 0616.92009Metz, J. A. J.; van Batenburg, F. H. D. 6 1985 Stage-structure models of populations with distinct growth and development processes. Zbl 0613.92019Nisbet, R. M.; Blythe, S. P.; Gurney, W. S. C.; Metz, J. A. J. 4 1985 Continuum population dynamics with an application to Daphnia magra. Zbl 0534.92022Diekmann, O.; Metz, J. A. J.; Kooijman, S. A. L. M.; Heijmans, H. J. A. M. 4 1984 Holling’s ”hungry mantid” model for the invertebrate functional response considered as a Markov process. Part 0: A survey of the main ideas and results. Zbl 0538.92021Metz, J. A. J.; van Batenburg, F. H. D. 4 1984 Growth, fission and the stable size distribution. Zbl 0533.92016Diekmann, O.; Lauwerier, H. A.; Aldenberg, T.; Metz, J. A. J. 21 1983 all cited Publications top 5 cited Publications all top 5 Cited by 3,162 Authors 45 Diekmann, Odo 41 Gyllenberg, Mats 34 Gumel, Abba B. 29 Kuniya, Toshikazu 29 Metz, Johan A. Jacob 28 Thieme, Horst R. 27 Wang, Jinliang 24 Wu, Jianhong 24 Zhao, Xiao-Qiang 23 Jin, Zhen 22 Geritz, Stefan A. H. 22 Ruan, Shigui 20 Kisdi, Éva 20 Parvinen, Kalle 19 Zou, Xingfu 18 de Roos, André M. 18 Wang, Wendi 17 Inaba, Hisashi 17 Perthame, Benoît 16 Farkas, József Zoltán 16 Webb, Glenn Francis 15 Breda, Dimitri 15 Calsina, Àngel 15 Gao, Daozhou 15 van den Driessche, Pauline 15 Wang, Wei 14 Allen, Linda J. S. 14 Sun, Guiquan 14 Tchuenche, Jean Michel 14 Wang, Feng-Bin 13 Dieckmann, Ulf 13 Ma, Wanbiao 13 Mukandavire, Zindoga 13 Pugliese, Andrea 13 Teng, Zhi-dong 13 Xiao, Yanni 12 Bowers, Roger G. 12 Cai, Yongli 12 Garira, Winston S. 12 Kooi, Bob W. 12 Martcheva, Maia 12 Méléard, Sylvie 11 Agusto, Folashade B. 11 Feng, Zhilan 11 Getto, Philipp 11 Greenhalgh, David 11 Li, Michael Yi 11 Li, Xuezhi 11 Liu, Xianning 11 Vermiglio, Rossana 11 Wang, Bin’guo 11 Wang, Weiming 11 Wang, Zhi Cheng 11 Zhu, Huaiping 10 Lou, Yijun 10 Sallet, Gauthier 10 Smadi, Charline 10 Wang, Kai 10 Yang, Junyuan 9 Castillo-Chavez, Carlos 9 Champagnat, Nicolas 9 Chiyaka, Christinah 9 Cushing, Jim M. 9 Kribs, Christopher M. 9 Ngonghala, Calistus N. 9 Nyabadza, Farai 9 Scarabel, Francesca 9 Shah, Nita H. 9 Vaidya, Naveen K. 9 Wang, Jin 9 Wang, Xiunan 9 Yuan, Rong 9 Zhang, Liang 9 Zhang, Tailei 9 Zhao, Hongyong 9 Zhou, Yicang 8 Allen, Benjamin L. 8 Ball, Frank G. 8 Cai, Liming 8 Cuadrado, Sílvia 8 Demasse, Ramses Djidjou 8 Dietz, Klaus 8 Doebeli, Michael 8 Heesterbeek, J. A. P. 8 Hove-Musekwa, Senelani Dorothy 8 Kretzschmar, Mirjam 8 Lehmann, Laurent 8 Li, Jia 8 Li, Jianquan 8 Magal, Pierre 8 Qiu, Zhipeng 8 Shu, Hongying 8 Wang, Hao 8 Wang, Xueying 8 Xue, Ling 7 Ackleh, Azmy S. 7 Arino, Ovide 7 Bichara, Derdei Mahamat 7 Boldin, Barbara 7 Brännström, Åke ...and 3,062 more Authors all top 5 Cited in 231 Serials 226 Journal of Mathematical Biology 195 Journal of Theoretical Biology 192 Mathematical Biosciences 130 Bulletin of Mathematical Biology 117 Theoretical Population Biology 99 Mathematical Biosciences and Engineering 63 Journal of Biological Dynamics 60 Discrete and Continuous Dynamical Systems. Series B 59 Applied Mathematics and Computation 47 Nonlinear Analysis. Real World Applications 46 Journal of Mathematical Analysis and Applications 44 Journal of Differential Equations 30 Physica A 30 International Journal of Biomathematics 29 Chaos, Solitons and Fractals 25 Applied Mathematical Modelling 25 Advances in Difference Equations 25 Mathematical Modelling of Natural Phenomena 23 Mathematical and Computer Modelling 22 SIAM Journal on Applied Mathematics 21 Computational & Mathematical Methods in Medicine 20 Journal of Dynamics and Differential Equations 20 Communications in Nonlinear Science and Numerical Simulation 18 Mathematical Methods in the Applied Sciences 18 Journal of Biological Systems 17 Mathematical Population Studies 16 Mathematics and Computers in Simulation 15 Acta Applicandae Mathematicae 15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 15 Abstract and Applied Analysis 15 Journal of Applied Mathematics 14 Applicable Analysis 14 Journal of Computational and Applied Mathematics 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Computers & Mathematics with Applications 12 Journal of Applied Mathematics and Computing 10 Applied Mathematics Letters 10 Differential Equations and Dynamical Systems 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 The Annals of Applied Probability 8 Complexity 8 Discrete Dynamics in Nature and Society 8 Communications on Pure and Applied Analysis 8 Journal of Applied Analysis and Computation 7 European Journal of Applied Mathematics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 SIAM Journal on Applied Dynamical Systems 7 Nonautonomous Dynamical Systems 6 Journal of the Franklin Institute 6 Japan Journal of Industrial and Applied Mathematics 6 European Journal of Operational Research 6 Stochastic Processes and their Applications 6 Journal of Difference Equations and Applications 6 Chaos 6 Journal of Evolution Equations 6 International Journal of Differential Equations 6 International Journal of Applied and Computational Mathematics 5 Rocky Mountain Journal of Mathematics 5 International Journal of Mathematics and Mathematical Sciences 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Ricerche di Matematica 5 Physica D 5 Computational and Applied Mathematics 5 Natural Resource Modeling 5 Nonlinear Analysis. Modelling and Control 5 ISRN Biomathematics 5 Computational and Mathematical Biophysics 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Nonlinear Science 4 Applied Mathematics. Series B (English Edition) 4 Journal of the Egyptian Mathematical Society 4 Discrete and Continuous Dynamical Systems 4 The ANZIAM Journal 4 ISRN Applied Mathematics 4 Mathematics in Applied Sciences and Engineering 3 Journal of Optimization Theory and Applications 3 Proceedings of the American Mathematical Society 3 Semigroup Forum 3 Stochastic Analysis and Applications 3 Computational Mechanics 3 Linear Algebra and its Applications 3 Electronic Journal of Probability 3 Positivity 3 Revista de Matemática: Teoría y Aplicaciones 3 Applications and Applied Mathematics 3 Games 3 Dynamic Games and Applications 3 Afrika Matematika 3 Biomath 3 Journal of Applied Nonlinear Dynamics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 AIMS Mathematics 2 Advances in Applied Probability 2 Journal of Statistical Physics 2 Czechoslovak Mathematical Journal 2 Demonstratio Mathematica 2 Journal of Applied Probability 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Tamkang Journal of Mathematics ...and 131 more Serials all top 5 Cited in 36 Fields 2,107 Biology and other natural sciences (92-XX) 666 Ordinary differential equations (34-XX) 464 Partial differential equations (35-XX) 298 Dynamical systems and ergodic theory (37-XX) 182 Probability theory and stochastic processes (60-XX) 133 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 118 Numerical analysis (65-XX) 96 Operator theory (47-XX) 88 Integral equations (45-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 66 Systems theory; control (93-XX) 32 Difference and functional equations (39-XX) 32 Statistics (62-XX) 32 Statistical mechanics, structure of matter (82-XX) 27 Combinatorics (05-XX) 17 Computer science (68-XX) 14 Operations research, mathematical programming (90-XX) 10 Real functions (26-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 5 Measure and integration (28-XX) 4 Functional analysis (46-XX) 4 Information and communication theory, circuits (94-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Citations by Year