Edit Profile (opens in new tab) Diekmann, Odo Co-Author Distance Author ID: diekmann.odo Published as: Diekmann, Odo; Diekmann, O. Homepage: https://www.uu.nl/medewerkers/ODiekmann External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 144 Publications since 1975, including 11 Books and 3 Additional arXiv Preprints 10 Contributions as Editor Biographic References: 1 Publication Co-Authors: 102 Co-Authors with 131 Joint Publications 2,943 Co-Co-Authors all top 5 Co-Authors 23 single-authored 30 Gyllenberg, Mats 25 Metz, Johan A. Jacob 15 Thieme, Horst R. 13 van Gils, Stephan A. 8 Heijmans, Henk J. A. M. 6 de Jong, Mart C. M. 6 de Roos, André M. 6 Getto, Philipp 6 Hilhorst, Danielle 6 Kretzschmar, Mirjam 6 Scarabel, Francesca 6 Vermiglio, Rossana 5 Heesterbeek, J. A. P. 5 Kirkilionis, Markus A. 4 Boldin, Barbara 4 Breda, Dimitri 4 Calsina, Àngel 4 Clément, Philippe J. E. 4 Heesterbeek, Hans 4 Leung, Ka Yin 4 van den Bosch, Frank 4 Verduyn Lunel, Sjoerd M. 3 Davydova, Natalia V. 3 de Koeijer, Aline 3 Farkas, József Zoltán 3 Huang, Yunxin 2 Barril, Carles 2 Cushing, Jim M. 2 de Graaf, W. F. 2 Dietz, Klaus 2 Franco, Eugenia 2 Inaba, Hisashi 2 Jagers, Peter 2 Korvasová, Karolína 2 Levin, Simon Asher 2 Montijn, R. 2 Nakaoka, Shinji 2 Nisbet, Roger M. 2 Peletier, Lambertus Adrianus 2 Pugliese, Andrea 2 Sabelis, Maurice W. 1 Agur, S. 1 Aldenberg, Tom 1 Berestycki, Henri 1 Bhattacharya, Souvik 1 Bonten, M. J. M. 1 Bootsma, Martin 1 Borges, Ricardo 1 Bravo de la Parra, Rafael 1 Britton, Tom 1 Buonocore, Aniello 1 Capasso, Vincenzo 1 Chan, Danny 1 Chow, Shui-Nee 1 Christiansen, Freddy Bugge 1 Corander, Jukka 1 Cuadrado, Sílvia 1 De Boer, Rob J. 1 de Koning, Jan 1 de Wolff, Babette A. J. 1 Deutsch, Andreas 1 Di Crescenzo, Antonio 1 Durrett, Richard Timothy 1 Filali, Mohammed 1 Gavrilets, Sergey 1 Goudriaan, J. 1 Gourney, W. S. C. 1 Greenhalgh, David 1 Gurney, William S. C. 1 Hadeler, Karl-Peter 1 Hastings, Alan Matthew 1 Hillen, Thomas 1 Huang, Haiyang 1 Jabin, Pierre-Emmanuel 1 Kaper, Hans G. 1 Kimmel, Marek 1 Kisdi, Éva 1 Koch, A. L. 1 Kooijman, Sebastiaan A. L. M. 1 Koski, Timo J. T. 1 Kostova, Tanya V. 1 Lánský, Petr 1 Lauwerier, Hans Adolf 1 Liessi, Davide 1 Lisser, Bert 1 Maini, Philip Kumar 1 Mallet-Paret, John Joseph 1 Maset, Stefano 1 Meester, Ronald W. J. 1 Milner, Fabio Augusto 1 Mischler, Stéphane 1 Nagelkerke, Cornelis J. 1 Nakata, Yukihiko 1 Nool, Margreet 1 Perthame, Benoît 1 Pfab, Ferdinand 1 Planqué, Robert 1 Reijinders, Peter 1 Shigesada, Nanako 1 Sigmund, Karl ...and 10 more Co-Authors all top 5 Serials 29 Journal of Mathematical Biology 8 Mathematical Biosciences 7 Bulletin of Mathematical Biology 5 Journal of Differential Equations 5 Theoretical Population Biology 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Applied Dynamical Systems 3 Journal of Biological Dynamics 2 Acta Applicandae Mathematicae 2 CWI Quarterly 2 Differential and Integral Equations 2 Discrete and Continuous Dynamical Systems 2 Journal of Evolution Equations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Annales des Sciences Mathématiques du Québec 1 Biometrics 1 Journal of Applied Probability 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Delft Progress Report 1 Japan Journal of Applied Mathematics 1 IMA Journal of Mathematics Applied in Medicine and Biology 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Computers and Mathematics with Applications. Part A 1 Journal of Dynamics and Differential Equations 1 The Canadian Applied Mathematics Quarterly 1 Journal of Difference Equations and Applications 1 Vietnam Journal of Mathematics 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of Biological Systems 1 Applied Mathematical Sciences 1 Lecture Notes in Biomathematics 1 Lecture Notes in Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Theoretical Biology 1 Modeling and Simulation in Science, Engineering and Technology 1 MC Syllabus all top 5 Fields 126 Biology and other natural sciences (92-XX) 44 Ordinary differential equations (34-XX) 36 Integral equations (45-XX) 30 Operator theory (47-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Partial differential equations (35-XX) 12 Numerical analysis (65-XX) 10 Probability theory and stochastic processes (60-XX) 8 General and overarching topics; collections (00-XX) 7 Difference and functional equations (39-XX) 4 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 117 Publications have been cited 5,883 times in 4,316 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 0726.92018 Diekmann, O.; Heesterbeek, J. A. P.; Metz, J. A. J. 1,461 1990 Mathematical epidemiology of infectious diseases. Model building, analysis and interpretation. Zbl 0997.92505 Diekmann, O.; Heesterbeek, J. A. P. 749 1999 The dynamics of physiologically structured populations. Zbl 0614.92014 475 1986 Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002 Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto 464 1995 Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020 Diekmann, O. 221 1978 Mathematical tools for understanding infectious disease dynamics. Zbl 1304.92009 Diekmann, Odo; Heesterbeek, Hans; Britton, Tom 168 2013 Can a species keep pace with a shifting climate? Zbl 1169.92043 Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A. 134 2009 Run for your life. A note on the asymptotic speed of propagation of an epidemic. Zbl 0377.45007 Diekmann, O. 123 1979 The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035 Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît 115 2005 On the stability of the cell size distribution. Zbl 0543.92021 Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R. 105 1984 A beginner’s guide to adaptive dynamics. Zbl 1051.92032 Diekmann, Odo 104 2004 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. 99 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. 90 1998 On the bounded solutions of a nonlinear convolution equation. Zbl 0433.92028 Diekmann, Odo; Kaper, Hans G. 88 1978 How does transmission of infection depend on population size? Zbl 0850.92042 de Jong, Mart C. M.; Diekmann, Odo; Heesterbeek, Hans 86 1995 Steady-state analysis of structured population models. Zbl 1098.92062 Diekmann, O.; Gyllenberg, M.; Metz, J. A. J. 76 2003 Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. Zbl 1149.39021 Diekmann, Odo; Getto, Philipp; Gyllenberg, Mats 76 2007 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 Patterns in the effects of infectious diseases on population growth. Zbl 0732.92024 Diekmann, O.; Kretzschmar, M. 46 1991 Limiting behaviour in an epidemic model. Zbl 0371.92024 Diekmann, O. 45 1977 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 A deterministic epidemic model taking account of repeated contacts between the same individuals. Zbl 0940.92023 Diekmann, O.; De Jong, M. C. M.; Metz, J. A. J. 40 1998 Simple mathematical models for cannibalism: A critique and a new approach. Zbl 0587.92020 Diekmann, O.; Nisbet, R. M.; Gurney, W. S. C.; van den Bosch, F. 40 1986 The velocity of spatial population expansion. Zbl 0732.92026 van den Bosch, F.; Metz, J. A. J.; Diekmann, O. 39 1990 On the formulation of epidemic models (an appraisal of Kermack and McKendrick). Zbl 1447.92401 Breda, D.; Diekmann, O.; De Graaf, W. F.; Pugliese, A.; Vermiglio, R. 38 2012 Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity. Zbl 0983.92007 Greenhalgh, David; Diekmann, Odo; de Jong, Mart C. M. 34 2000 The many guises of \(R_0\) (a didactic note). Zbl 1343.92400 Cushing, J. M.; Diekmann, Odo 29 2016 Year class coexistence or competitive exclusion for strict biennials? Zbl 1019.92024 Davydova, N. V.; Diekmann, O.; van Gils, S. A. 28 2003 The legacy of Kermack and McKendrick. Zbl 0839.92018 Diekmann, Odo; Heesterbeek, Hans; Metz, Hans 28 1995 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 Superinfections can induce evolutionarily stable coexistence of pathogens. Zbl 1141.92028 Boldin, Barbara; Diekmann, Odo 26 2008 Abstract delay equations inspired by population dynamics. Zbl 1167.47058 Diekmann, Odo; Gyllenberg, Mats 26 2008 Interspecific influence on mobility and Turing instability. Zbl 1334.92341 Huang, Yunxin; Diekmann, Odo 24 2003 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 Carrying simplices in discrete competitive systems and age-structured semelparous populations. Zbl 1138.92031 Diekmann, Odo; Wang, Yi; Yan, Ping 22 2008 Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations. Zbl 1073.37093 Diekmann, O.; Getto, Ph. 22 2005 The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations. Zbl 0748.92010 Diekmann, O.; Dietz, K.; Heesterbeek, J. A. P. 22 1991 Growth, fission and the stable size distribution. Zbl 0533.92016 Diekmann, O.; Lauwerier, H. A.; Aldenberg, T.; Metz, J. A. J. 21 1983 Predator migration in response to prey density: What are the consequences? Zbl 0995.92044 Huang, Yunxin; Diekmann, Odo 19 2001 On circulant populations. I: The algebra of semelparity. Zbl 1062.92051 Davydova, N. V.; Diekmann, O.; van Gils, S. A. 18 2005 On the (dis) advantages of cannibalism. Zbl 1077.92047 Getto, Ph.; Diekmann, O.; de Roos, A. M. 17 2005 The computation of \(R_ 0\) for discrete-time epidemic models with dynamic heterogeneity. Zbl 0791.92019 de Jong, M. C. M.; Diekmann, O.; Heesterbeek, J. A. P. 16 1994 Numerical continuation of equilibria of physiologically structured population models. I: Theory. Zbl 1013.92036 Kirkilionis, Markus A.; Diekmann, Odo; Lisser, Bert; Nool, Margreet; Sommeijer, Ben; de Roos, Andre M. 16 2001 Numerical bifurcation analysis of a class of nonlinear renewal equations. Zbl 1413.65298 Breda, Dimitri; Diekmann, Odo; Liessi, Davide; Scarabel, Francesca 16 2016 Stability, multiplicity and global continuation of symmetric periodic solutions of a nonlinear Volterra integral equation. Zbl 0596.45009 Chow, S.-N.; Diekmann, O.; Mallet-Paret, John 15 1985 Invariant manifolds for Volterra integral equations of convolution type. Zbl 0543.45004 Diekmann, O.; van Gils, S. A. 15 1984 A numerical approach for investigating the stability of equilibria for structured population models. Zbl 1448.92178 Breda, Dimitri; Diekmann, Odo; Maset, Stefano; Vermiglio, Rossana 14 2013 Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 14 1993 Numerical equilibrium analysis for structured consumer resource models. Zbl 1185.92088 De Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A. 14 2010 The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021 Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst 13 1993 On the cyclic replicator equation and the dynamics of semelparous populations. Zbl 1179.34044 Diekmann, O.; van Gils, S. A. 13 2009 Modeling and real-time prediction of classical swine fever epidemics. Zbl 1209.62313 Meester, Ronald; de Koning, Jan; de Jong, Mart C. M.; Diekmann, Odo 13 2002 Prelude to Hopf bifurcation in an epidemic model: Analysis of a characteristic equation associated with a nonlinear Volterra integral equation. Zbl 0487.92023 Diekmann, O.; Montijn, R. 13 1982 On the stability of the cell-size distribution. II. Time-periodic development rates. Zbl 0667.92015 Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R. 12 1986 Exact finite dimensional representations of models for physiologically structured populations. I: The abstract foundations of linear chain trickery. Zbl 0766.92017 Metz, J. A. J.; Diekmann, O. 12 1991 On a boom and bust year class cycle. Zbl 1067.92047 Diekmann, Odo; Davydova, Natalia; Van Gils, Stephan 11 2005 Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066 Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J. 11 2018 On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071 Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 10 2020 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. 9 1989 Nonlinear diffusion problems. Zbl 0357.35002 9 1976 Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034 Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 9 2020 \(SI\) infection on a dynamic partnership network: characterization of \(R_0\). Zbl 1321.34066 Leung, Ka Yin; Kretzschmar, Mirjam; Diekmann, Odo 9 2015 Waning and boosting: on the dynamics of immune status. Zbl 1404.92178 Diekmann, O.; de Graaf, W. F.; Kretzschmar, M. E. E.; Teunis, P. F. M. 9 2018 The center manifold for delay equations in the light of suns and stars. Zbl 0742.47009 Diekmann, Odo; van Gils, Stephan A. 9 1991 Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 8 2000 Dynamic concurrent partnership networks incorporating demography. Zbl 1338.91116 Leung, K. Y.; Kretzschmar, M. E. E.; Diekmann, O. 8 2012 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. 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 Overall population stability despite local extinction: The stabilizing influence of prey dispersal from predator-invaded patches. Zbl 0661.92020 Sabelis, M. W.; Diekmann, O. 7 1988 Relative effects of barrier precautions and topical antibiotics on nosocomial bacterial transmission: results of multi-compartment models. Zbl 1296.92233 Boldin, B.; Bonten, M. J. M.; Diekmann, O. 7 2007 On the characteristic equation \(\lambda =\alpha_{1}+(\alpha_{2}+\alpha_{3}\lambda)e^{-\lambda}\) and its use in the context of a cell population model. Zbl 1344.34077 Diekmann, Odo; Getto, Philipp; Nakata, Yukihiko 7 2016 Structured populations with distributed recruitment: from PDE to delay formulation. Zbl 1353.92074 Calsina, Àngel; Diekmann, Odo; Farkas, József Z. 7 2016 Linearization of solution operators for state-dependent delay equations: a simple example. Zbl 1371.37046 Diekmann, Odo; Korvasová, Karolína 7 2016 Dangerous connections: on binding site models of infectious disease dynamics. Zbl 1364.92048 Leung, Ka Yin; Diekmann, Odo 7 2017 Volterra integral equations and semigroups of operators. Zbl 0416.45002 Diekmann, O. 6 1980 Pseudospectral discretization of delay differential equations in sun-star formulation: results and conjectures. Zbl 1450.65061 Diekmann, Odo; Scarabel, Francesca; Vermiglio, Rossana 6 2020 A didactical note on the advantage of using two parameters in Hopf bifurcation studies. Zbl 1453.34091 Diekmann, O.; Korvasová, K. 5 2013 Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation. Zbl 1464.35375 Scarabel, Francesca; Breda, Dimitri; Diekmann, Odo; Gyllenberg, Mats; Vermiglio, Rossana 5 2021 Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019 Diekmann, O.; Gyllenberg, M.; Thieme, H. R. 5 1991 Modeling and analysing physiologically structured populations. Zbl 1002.92554 Diekmann, Odo 4 1999 Mathematics inspired by biology. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Martina Franca, Italy, June 13–20, 1997. Zbl 0930.00085 Durrett, R.; Hadeler, K. P.; Maini, P.; Smith, H. L. 4 1999 Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 4 1995 The winner takes it all: how semelparous insects can become periodical. Zbl 1437.37117 Diekmann, Odo; Planqué, Robert 4 2020 Pseudospectral approximation of Hopf bifurcation for delay differential equations. Zbl 1470.34185 de Wolff, B. A. J.; Scarabel, F.; Verduyn Lunel, S. M.; Diekmann, O. 4 2021 Twin semigroups and delay equations. Zbl 1472.34120 Diekmann, O.; Verduyn Lunel, S. M. 4 2021 The second half – with a quarter of a century delay. Zbl 1337.92173 Diekmann, O.; Gyllenberg, M. 4 2008 Delay equation formulation of a cyclin-structured cell population model. Zbl 1359.92030 Borges, Ricardo; Calsina, Àngel; Cuadrado, Sílvia; Diekmann, Odo 4 2014 Continuum population dynamics with an application to Daphnia magra. Zbl 0534.92022 Diekmann, O.; Metz, J. A. J.; Kooijman, S. A. L. M.; Heijmans, H. J. A. M. 4 1984 The many facets of evolutionary dynamics. Zbl 0971.92506 Diekmann, Odo 3 1997 Exploring linear chain trickery for physiologically structured populations. Zbl 0664.92014 Diekmann, Odo; Metz, Hans 3 1989 Reflections and calculations on a prey-predator-patch problem. Zbl 0673.92012 Diekmann, O.; Metz, J. A. J.; Sabelis, M. W. 3 1989 Invariance and symmetry in a year-class model. Zbl 1040.39001 Diekmann, O.; van Gils, S. A. 3 2003 On the reciprocal relationship between life histories and population dynamics. Zbl 0818.92015 Diekmann, Odo; Metz, J. A. J. 3 1994 Numerical bifurcation analysis of renewal equations via pseudospectral approximation. Zbl 1466.92205 Scarabel, Francesca; Diekmann, Odo; Vermiglio, Rossana 3 2021 On a nonlinear integral equation arising in mathematical epidemiology. Zbl 0386.45006 Diekmann, O. 2 1978 On the final size of epidemics within herds. Zbl 0852.92019 Diekmann, O.; de Koeijer, A. A.; Metz, J. A. J. 2 1996 Invariant manifolds for Volterra integral equations of convolution type. Zbl 0464.45007 Diekmann, O.; van Gils, S. A. 2 1981 The dynamics of structured populations: some examples. Zbl 0584.92013 Diekmann, Odo 2 1985 On the formulation of size-structured consumer resource models (with special attention for the principle of linearized stability). Zbl 1498.92146 Barril, Carles; Calsina, Àngel; Diekmann, Odo; Farkas, József Z. 2 2022 On the formulation of size-structured consumer resource models (with special attention for the principle of linearized stability). Zbl 1498.92146 Barril, Carles; Calsina, Àngel; Diekmann, Odo; Farkas, József Z. 2 2022 Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation. Zbl 1464.35375 Scarabel, Francesca; Breda, Dimitri; Diekmann, Odo; Gyllenberg, Mats; Vermiglio, Rossana 5 2021 Pseudospectral approximation of Hopf bifurcation for delay differential equations. Zbl 1470.34185 de Wolff, B. A. J.; Scarabel, F.; Verduyn Lunel, S. M.; Diekmann, O. 4 2021 Twin semigroups and delay equations. Zbl 1472.34120 Diekmann, O.; Verduyn Lunel, S. M. 4 2021 Numerical bifurcation analysis of renewal equations via pseudospectral approximation. Zbl 1466.92205 Scarabel, Francesca; Diekmann, Odo; Vermiglio, Rossana 3 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. 10 2020 Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034 Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 9 2020 Pseudospectral discretization of delay differential equations in sun-star formulation: results and conjectures. Zbl 1450.65061 Diekmann, Odo; Scarabel, Francesca; Vermiglio, Rossana 6 2020 The winner takes it all: how semelparous insects can become periodical. Zbl 1437.37117 Diekmann, Odo; Planqué, Robert 4 2020 Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066 Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J. 11 2018 Waning and boosting: on the dynamics of immune status. Zbl 1404.92178 Diekmann, O.; de Graaf, W. F.; Kretzschmar, M. E. E.; Teunis, P. F. M. 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 Dangerous connections: on binding site models of infectious disease dynamics. Zbl 1364.92048 Leung, Ka Yin; Diekmann, Odo 7 2017 Multiple coexistence equilibria in a two parasitoid-one host model. Zbl 1368.92153 Pfab, Ferdinand; Diekmann, Odo; Bhattacharya, Souvik; Pugliese, Andrea 2 2017 The many guises of \(R_0\) (a didactic note). Zbl 1343.92400 Cushing, J. M.; Diekmann, Odo 29 2016 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 Numerical bifurcation analysis of a class of nonlinear renewal equations. Zbl 1413.65298 Breda, Dimitri; Diekmann, Odo; Liessi, Davide; Scarabel, Francesca 16 2016 On the characteristic equation \(\lambda =\alpha_{1}+(\alpha_{2}+\alpha_{3}\lambda)e^{-\lambda}\) and its use in the context of a cell population model. Zbl 1344.34077 Diekmann, Odo; Getto, Philipp; Nakata, Yukihiko 7 2016 Structured populations with distributed recruitment: from PDE to delay formulation. Zbl 1353.92074 Calsina, Àngel; Diekmann, Odo; Farkas, József Z. 7 2016 Linearization of solution operators for state-dependent delay equations: a simple example. Zbl 1371.37046 Diekmann, Odo; Korvasová, Karolína 7 2016 Erratum to: “Numerical equilibrium analysis for structured consumer resource models”. Zbl 1402.92437 de Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A. 1 2016 \(SI\) infection on a dynamic partnership network: characterization of \(R_0\). Zbl 1321.34066 Leung, Ka Yin; Kretzschmar, Mirjam; Diekmann, Odo 9 2015 Delay equation formulation of a cyclin-structured cell population model. Zbl 1359.92030 Borges, Ricardo; Calsina, Àngel; Cuadrado, Sílvia; Diekmann, Odo 4 2014 An extension of the classification of evolutionarily singular strategies in adaptive dynamics. Zbl 1378.92046 Boldin, Barbara; Diekmann, Odo 2 2014 Mathematical tools for understanding infectious disease dynamics. Zbl 1304.92009 Diekmann, Odo; Heesterbeek, Hans; Britton, Tom 168 2013 A numerical approach for investigating the stability of equilibria for structured population models. Zbl 1448.92178 Breda, Dimitri; Diekmann, Odo; Maset, Stefano; Vermiglio, Rossana 14 2013 A didactical note on the advantage of using two parameters in Hopf bifurcation studies. Zbl 1453.34091 Diekmann, O.; Korvasová, K. 5 2013 Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133 Diekmann, Odo; Gyllenberg, Mats 50 2012 On the formulation of epidemic models (an appraisal of Kermack and McKendrick). Zbl 1447.92401 Breda, D.; Diekmann, O.; De Graaf, W. F.; Pugliese, A.; Vermiglio, R. 38 2012 Dynamic concurrent partnership networks incorporating demography. Zbl 1338.91116 Leung, K. Y.; Kretzschmar, M. E. E.; Diekmann, O. 8 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 Numerical equilibrium analysis for structured consumer resource models. Zbl 1185.92088 De Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A. 14 2010 Can a species keep pace with a shifting climate? Zbl 1169.92043 Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A. 134 2009 On the cyclic replicator equation and the dynamics of semelparous populations. Zbl 1179.34044 Diekmann, O.; van Gils, S. A. 13 2009 Superinfections can induce evolutionarily stable coexistence of pathogens. Zbl 1141.92028 Boldin, Barbara; Diekmann, Odo 26 2008 Abstract delay equations inspired by population dynamics. Zbl 1167.47058 Diekmann, Odo; Gyllenberg, Mats 26 2008 Carrying simplices in discrete competitive systems and age-structured semelparous populations. Zbl 1138.92031 Diekmann, Odo; Wang, Yi; Yan, Ping 22 2008 The second half – with a quarter of a century delay. Zbl 1337.92173 Diekmann, O.; Gyllenberg, M. 4 2008 Calculating the time to extinction of a reactivating virus, in particular bovine herpes virus. Zbl 1138.92351 de Koeijer, A. A.; Diekmann, O.; de Jong, M. C. M. 1 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 76 2007 Relative effects of barrier precautions and topical antibiotics on nosocomial bacterial transmission: results of multi-compartment models. Zbl 1296.92233 Boldin, B.; Bonten, M. J. M.; Diekmann, O. 7 2007 The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035 Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît 115 2005 Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations. Zbl 1073.37093 Diekmann, O.; Getto, Ph. 22 2005 On circulant populations. I: The algebra of semelparity. Zbl 1062.92051 Davydova, N. V.; Diekmann, O.; van Gils, S. A. 18 2005 On the (dis) advantages of cannibalism. Zbl 1077.92047 Getto, Ph.; Diekmann, O.; de Roos, A. M. 17 2005 On a boom and bust year class cycle. Zbl 1067.92047 Diekmann, Odo; Davydova, Natalia; Van Gils, Stephan 11 2005 A beginner’s guide to adaptive dynamics. Zbl 1051.92032 Diekmann, Odo 104 2004 Double-jump migration and diffusive instability. Zbl 1334.92342 Huang, Yunxin; Diekmann, Odo; van den Bosch, Frank 2 2004 Steady-state analysis of structured population models. Zbl 1098.92062 Diekmann, O.; Gyllenberg, M.; Metz, J. A. J. 76 2003 Year class coexistence or competitive exclusion for strict biennials? Zbl 1019.92024 Davydova, N. V.; Diekmann, O.; van Gils, S. A. 28 2003 Interspecific influence on mobility and Turing instability. Zbl 1334.92341 Huang, Yunxin; Diekmann, Odo 24 2003 Invariance and symmetry in a year-class model. Zbl 1040.39001 Diekmann, O.; van Gils, S. A. 3 2003 Modeling and real-time prediction of classical swine fever epidemics. Zbl 1209.62313 Meester, Ronald; de Koning, Jan; de Jong, Mart C. M.; Diekmann, Odo 13 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. 99 2001 Predator migration in response to prey density: What are the consequences? Zbl 0995.92044 Huang, Yunxin; Diekmann, Odo 19 2001 Numerical continuation of equilibria of physiologically structured population models. I: Theory. Zbl 1013.92036 Kirkilionis, Markus A.; Diekmann, Odo; Lisser, Bert; Nool, Margreet; Sommeijer, Ben; de Roos, Andre M. 16 2001 Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity. Zbl 0983.92007 Greenhalgh, David; Diekmann, Odo; de Jong, Mart C. M. 34 2000 Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 8 2000 Difference equations with delay. Zbl 1306.39003 Diekmann, Odo; van Gils, Stephan A. 2 2000 Mathematical epidemiology of infectious diseases. Model building, analysis and interpretation. Zbl 0997.92505 Diekmann, O.; Heesterbeek, J. A. P. 749 1999 Modeling and analysing physiologically structured populations. Zbl 1002.92554 Diekmann, Odo 4 1999 Mathematics inspired by biology. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Martina Franca, Italy, June 13–20, 1997. Zbl 0930.00085 Durrett, R.; Hadeler, K. P.; Maini, P.; Smith, H. L. 4 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. 90 1998 A deterministic epidemic model taking account of repeated contacts between the same individuals. Zbl 0940.92023 Diekmann, O.; De Jong, M. C. M.; Metz, J. A. J. 40 1998 Modelling the spread of phocine distemper virus among harbour seals. Zbl 1053.92516 de Koeijer, Aline; Diekmann, Odo; Reijinders, Peter 1 1998 The many facets of evolutionary dynamics. Zbl 0971.92506 Diekmann, Odo 3 1997 On the final size of epidemics within herds. Zbl 0852.92019 Diekmann, O.; de Koeijer, A. A.; Metz, J. A. J. 2 1996 Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002 Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto 464 1995 How does transmission of infection depend on population size? Zbl 0850.92042 de Jong, Mart C. M.; Diekmann, Odo; Heesterbeek, Hans 86 1995 The legacy of Kermack and McKendrick. Zbl 0839.92018 Diekmann, Odo; Heesterbeek, Hans; Metz, Hans 28 1995 Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 4 1995 The computation of \(R_ 0\) for discrete-time epidemic models with dynamic heterogeneity. Zbl 0791.92019 de Jong, M. C. M.; Diekmann, O.; Heesterbeek, J. A. P. 16 1994 On the reciprocal relationship between life histories and population dynamics. Zbl 0818.92015 Diekmann, Odo; Metz, J. A. J. 3 1994 Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 14 1993 The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021 Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst 13 1993 Patterns in the effects of infectious diseases on population growth. Zbl 0732.92024 Diekmann, O.; Kretzschmar, M. 46 1991 The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations. Zbl 0748.92010 Diekmann, O.; Dietz, K.; Heesterbeek, J. A. P. 22 1991 Exact finite dimensional representations of models for physiologically structured populations. I: The abstract foundations of linear chain trickery. Zbl 0766.92017 Metz, J. A. J.; Diekmann, O. 12 1991 The center manifold for delay equations in the light of suns and stars. Zbl 0742.47009 Diekmann, Odo; van Gils, Stephan A. 9 1991 Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019 Diekmann, O.; Gyllenberg, M.; Thieme, H. R. 5 1991 Semigroups and renewal equations on dual Banach spaces with applications to population dynamics. Zbl 0799.47022 Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 2 1991 A new short proof of an old folk theorem in functional differential equations. Zbl 0780.34051 Diekmann, O.; Verduyn Lunel, Sjoerd M. 2 1991 On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations. Zbl 0726.92018 Diekmann, O.; Heesterbeek, J. A. P.; Metz, J. A. J. 1,461 1990 The velocity of spatial population expansion. Zbl 0732.92026 van den Bosch, F.; Metz, J. A. J.; Diekmann, O. 39 1990 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. 9 1989 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 Exploring linear chain trickery for physiologically structured populations. Zbl 0664.92014 Diekmann, Odo; Metz, Hans 3 1989 Reflections and calculations on a prey-predator-patch problem. Zbl 0673.92012 Diekmann, O.; Metz, J. A. J.; Sabelis, M. W. 3 1989 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 Overall population stability despite local extinction: The stabilizing influence of prey dispersal from predator-invaded patches. Zbl 0661.92020 Sabelis, M. W.; Diekmann, O. 7 1988 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 Perturbed dual semigroups and delay equations. Zbl 0632.34067 Diekmann, Odo 1 1987 The dynamics of physiologically structured populations. Zbl 0614.92014 475 1986 Simple mathematical models for cannibalism: A critique and a new approach. Zbl 0587.92020 Diekmann, O.; Nisbet, R. M.; Gurney, W. S. C.; van den Bosch, F. 40 1986 On the stability of the cell-size distribution. II. Time-periodic development rates. Zbl 0667.92015 Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R. 12 1986 Dynamics in bio-mathematical perspective. Zbl 0636.92001 Diekmann, Odo 1 1986 Dynamics in bio-mathematical perspective. Zbl 0609.92002 Diekmann, Odo 1 1986 Interactions between egg-eating predator and prey: The effect of the functional response and of age structure. Zbl 0612.92015 van den Bosch, F.; Diekmann, O. 1 1986 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,339 Authors 63 Diekmann, Odo 55 Wu, Jianhong 46 Gyllenberg, Mats 45 Thieme, Horst R. 42 Kuniya, Toshikazu 42 Ruan, Shigui 41 Gumel, Abba B. 41 Zhao, Xiao-Qiang 37 Khachatryan, Khachatur Aghavardovich 37 van den Driessche, Pauline 35 Perthame, Benoît 35 Wang, Jinliang 33 Jin, Zhen 33 Teng, Zhi-dong 32 Zou, Xingfu 29 Li, Wan-Tong 28 Breda, Dimitri 28 Feng, Zhilan 26 Metz, Johan A. Jacob 26 Wang, Wendi 25 Walther, Hans-Otto 25 Xiao, Yanni 25 Zhang, Tailei 24 Webb, Glenn Francis 22 Lou, Yuan 22 Pugliese, Andrea 22 Sun, Guiquan 21 Inaba, Hisashi 21 Lin, Guo 21 Vermiglio, Rossana 20 Calsina, Àngel 19 Allen, Linda J. S. 19 Castillo-Chavez, Carlos 19 Ducrot, Arnaud 19 Ma, Wanbiao 19 Magal, Pierre 19 Petrosyan, Aĭkanush Samvelovna 18 Britton, Tom 18 Chen, Yuming 18 Gao, Daozhou 18 Martcheva, Maia 18 Mirrahimi, Sepideh 18 Wang, Wei 18 Yuan, Rong 17 Ball, Frank G. 17 Lam, King-Yeung 17 Wang, Zhi Cheng 16 Chowell, Gerardo 16 Cushing, Jim M. 16 Farkas, József Zoltán 16 Geritz, Stefan A. H. 16 Rezunenko, Oleksandr V”yacheslavovych 16 Trapman, Pieter 16 Zhu, Huaiping 15 Chen, Lansun 15 de Roos, André M. 15 Greenhalgh, David 15 Li, Michael Yi 15 Liu, Xianning 15 Roberts, Michael George 15 Röst, Gergely 15 Wang, Feng-Bin 15 Yang, Junyuan 14 Bacaër, Nicolas 14 Cai, Yongli 14 Chattopadhyay, Joydev 14 Kiss, István Z. 14 Lewis, Mark Alun 14 Li, Bingtuan 14 Li, Xuezhi 14 Lou, Yijun 14 Nakata, Yukihiko 14 Ou, Chunhua 14 Qiu, Zhipeng 14 Tchuenche, Jean Michel 14 Trofimchuk, Sergei I. 14 Verduyn Lunel, Sjoerd M. 14 Wang, Bin’guo 14 Wang, Jiabing 14 Wang, Weiming 14 Weng, Peixuan 13 Cao, Jinde 13 Cui, Jingan 13 Jiang, Jifa 13 Kretzschmar, Mirjam 13 Kumar Upadhyay, Ranjit 13 Liu, Shengqiang 13 Lutscher, Frithjof 13 Mukandavire, Zindoga 13 Wang, Jin 13 Wang, Xueying 13 Wang, Yi 13 Zhang, Liang 12 Angulo, Oscar 12 Bowong, Samuel 12 Chekroun, Abdennasser 12 Demasse, Ramses Djidjou 12 Esteva, Lourdes 12 Feng, Zhaosheng 12 Garira, Winston S. ...and 5,239 more Authors all top 5 Cited in 410 Serials 339 Journal of Mathematical Biology 302 Mathematical Biosciences 224 Journal of Theoretical Biology 199 Bulletin of Mathematical Biology 172 Journal of Differential Equations 139 Mathematical Biosciences and Engineering 123 Discrete and Continuous Dynamical Systems. 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Analyse Non Linéaire ...and 310 more Serials all top 5 Cited in 50 Fields 3,502 Biology and other natural sciences (92-XX) 1,454 Ordinary differential equations (34-XX) 1,077 Partial differential equations (35-XX) 573 Dynamical systems and ergodic theory (37-XX) 311 Numerical analysis (65-XX) 307 Integral equations (45-XX) 301 Probability theory and stochastic processes (60-XX) 215 Operator theory (47-XX) 184 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 165 Systems theory; control (93-XX) 138 Calculus of variations and optimal control; optimization (49-XX) 99 Difference and functional equations (39-XX) 83 Statistics (62-XX) 56 Combinatorics (05-XX) 54 Statistical mechanics, structure of matter (82-XX) 36 Operations research, mathematical programming (90-XX) 31 Computer science (68-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 19 Real functions (26-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Functional analysis (46-XX) 12 Mechanics of particles and systems (70-XX) 12 Information and communication theory, circuits (94-XX) 10 Measure and integration (28-XX) 9 General and overarching topics; collections (00-XX) 9 Integral transforms, operational calculus (44-XX) 8 Mechanics of deformable solids (74-XX) 8 Fluid mechanics (76-XX) 7 Approximations and expansions (41-XX) 6 Optics, electromagnetic theory (78-XX) 6 Geophysics (86-XX) 4 History and biography (01-XX) 4 Special functions (33-XX) 3 Mathematical logic and foundations (03-XX) 3 Functions of a complex variable (30-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 2 Mathematics education (97-XX) 1 Algebraic geometry (14-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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