Edit Profile Diekmann, Odo Compute Distance To: Compute Author ID: diekmann.odo Published as: Diekmann, O.; Diekmann, Odo External Links: MGP Documents Indexed: 145 Publications since 1975, including 17 Books Biographic References: 1 Publication all top 5 Co-Authors 22 single-authored 28 Gyllenberg, Mats 21 Metz, Johan A. Jacob 14 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 E. E. 5 Breda, Dimitri 5 Heesterbeek, J. A. P. 5 Kirkilionis, Markus A. 5 Scarabel, Francesca 5 Vermiglio, Rossana 4 Clément, Philippe J. E. 4 Heesterbeek, Hans 4 Leung, Ka Yin 4 van den Bosch, Frank 4 Verduyn Lunel, Sjoerd M. 3 Boldin, Barbara 3 Davydova, Natalia V. 3 de Koeijer, Aline 3 Huang, Yunxin 2 Calsina, Àngel 2 Cushing, Jim M. 2 de Graaf, W. F. 2 Dietz, Klaus 2 Jagers, Peter 2 Korvasová, Karolína 2 Levin, Simon Asher 2 Metz, Hans A. J. 2 Montijn, R. 2 Nakaoka, Shinji 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, Marc J. M. 1 Borges, Ricardo 1 Bravo de la Parra, Rafael 1 Britton, Tom 1 Buonocore, Aniello 1 Capasso, Vincenzo 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, B. A. J. 1 Deutsch, Andreas 1 Di Crescenzo, Antonio 1 Durrett, Richard Timothy 1 Farkas, József Zoltán 1 Filali, Mohammed 1 Gavrilets, Sergey 1 Greenhalgh, David 1 Gurney, William S. C. 1 Hadeler, Karl-Peter 1 Hastings, Alan 1 Hillen, Thomas 1 Huang, Haijing 1 Jabin, Pierre-Emmanuel 1 Kaper, Hans G. 1 Kimmel, Marek 1 Kisdi, Éva 1 Kooijman, Sebastiaan A. L. M. 1 Koski, Timo J. T. 1 Kostova, Tanya V. 1 Lánský, Petr 1 Lauwerier, Hans A. 1 Law, Rob 1 Lewis, Mark E. 1 Liessi, Davide 1 Lisser, Bert 1 Maini, Philip Kumar 1 Mallet-Paret, John Joseph 1 Maset, Stefano 1 Meester, Ronald W. J. 1 Metz, Hans-Rudolf 1 Milner, Fabio Augusto 1 Mischler, Stéphane 1 Nagelkerke, Cornelis J. 1 Nakata, Yukihiko 1 Nisbet, Roger M. 1 Nool, Margreet 1 Perthame, Benoît 1 Pfab, Ferdinand 1 Planqué, Robert 1 Reijinders, Peter 1 Shigesada, Nanako 1 Sigmund, Karl 1 Smith, Hal Leslie 1 Sommeijer, Ben P. 1 Takeuchi, Yasuhiro 1 Temme, Nico M. ...and 5 more Co-Authors all top 5 Serials 28 Journal of Mathematical Biology 8 Mathematical Biosciences 7 Bulletin of Mathematical Biology 5 Journal of Differential Equations 5 Theoretical Population Biology 3 SIAM Journal on Applied Dynamical Systems 3 Journal of Biological Dynamics 2 CWI Quarterly 2 Differential and Integral Equations 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Discrete and Continuous Dynamical Systems 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 Mathematische Annalen 1 Delft Progress Report 1 Acta Applicandae Mathematicae 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 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 Journal of Evolution Equations 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 all top 5 Fields 120 Biology and other natural sciences (92-XX) 41 Ordinary differential equations (34-XX) 34 Integral equations (45-XX) 30 Operator theory (47-XX) 21 Dynamical systems and ergodic theory (37-XX) 16 Partial differential equations (35-XX) 12 Numerical analysis (65-XX) 8 Probability theory and stochastic processes (60-XX) 7 General and overarching topics; collections (00-XX) 7 Difference and functional equations (39-XX) 3 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 Measure and integration (28-XX) 1 Approximations and expansions (41-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 114 Publications have been cited 4,332 times in 3,165 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. 916 1990 Mathematical epidemiology of infectious diseases. Model building, analysis and interpretation. Zbl 0997.92505Diekmann, O.; Heesterbeek, J. A. P. 611 1999 Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto 415 1995 The dynamics of physiologically structured populations. Zbl 0614.92014Metz, J. A. J. (ed.); Diekmann, O. (ed.) 362 1986 Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020Diekmann, O. 154 1978 Mathematical tools for understanding infectious disease dynamics. Zbl 1304.92009Diekmann, Odo; Heesterbeek, Hans; Britton, Tom 108 2013 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. 88 2001 On the stability of the cell size distribution. Zbl 0543.92021Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R. 88 1984 Run for your life. A note on the asymptotic speed of propagation of an epidemic. Zbl 0377.45007Diekmann, O. 83 1979 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. 80 1998 A beginner’s guide to adaptive dynamics. Zbl 1051.92032Diekmann, Odo 78 2004 The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît 77 2005 Can a species keep pace with a shifting climate? Zbl 1169.92043Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A. 75 2009 Steady-state analysis of structured population models. Zbl 1098.92062Diekmann, O.; Gyllenberg, M.; Metz, J. A. J. 67 2003 On the bounded solutions of a nonlinear convolution equation. Zbl 0433.92028Diekmann, Odo; Kaper, Hans G. 66 1978 How does transmission of infection depend on population size? Zbl 0850.92042de Jong, Mart C. M.; Diekmann, Odo; Heesterbeek, Hans 63 1995 Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. Zbl 1149.39021Diekmann, Odo; Getto, Philipp; Gyllenberg, Mats 56 2007 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. 41 2010 Patterns in the effects of infectious diseases on population growth. Zbl 0732.92024Diekmann, O.; Kretzschmar, M. 41 1991 The velocity of spatial population expansion. Zbl 0732.92026van den Bosch, F.; Metz, J. A. J.; Diekmann, O. 37 1990 Simple mathematical models for cannibalism: A critique and a new approach. Zbl 0587.92020Diekmann, O.; Nisbet, R. M.; Gurney, W. S. C.; van den Bosch, F. 37 1986 Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133Diekmann, Odo; Gyllenberg, Mats 33 2012 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. 33 1998 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. 31 1987 Limiting behaviour in an epidemic model. Zbl 0371.92024Diekmann, O. 31 1977 Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity. Zbl 0983.92007Greenhalgh, David; Diekmann, Odo; de Jong, Mart C. M. 26 2000 Year class coexistence or competitive exclusion for strict biennials? Zbl 1019.92024Davydova, N. V.; Diekmann, O.; van Gils, S. A. 25 2003 Interspecific influence on mobility and Turing instability. Zbl 1334.92341Huang, Yunxin; Diekmann, Odo 23 2003 Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations. Zbl 1073.37093Diekmann, O.; Getto, Ph. 22 2005 The legacy of Kermack and McKendrick. Zbl 0839.92018Diekmann, Odo; Heesterbeek, Hans; Metz, Hans 22 1995 The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations. Zbl 0748.92010Diekmann, O.; Dietz, K.; Heesterbeek, J. A. P. 20 1991 Growth, fission and the stable size distribution. Zbl 0533.92016Diekmann, O.; Lauwerier, H. A.; Aldenberg, T.; Metz, J. A. J. 20 1983 Abstract delay equations inspired by population dynamics. Zbl 1167.47058Diekmann, Odo; Gyllenberg, Mats 19 2008 Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis. Zbl 1352.34101Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R. 18 2016 On circulant populations. I: The algebra of semelparity. Zbl 1062.92051Davydova, N. V.; Diekmann, O.; van Gils, S. A. 18 2005 Predator migration in response to prey density: What are the consequences? Zbl 0995.92044Huang, Yunxin; Diekmann, Odo 18 2001 The many guises of \(R_0\) (a didactic note). Zbl 1343.92400Cushing, J. M.; Diekmann, Odo 17 2016 Superinfections can induce evolutionarily stable coexistence of pathogens. Zbl 1141.92028Boldin, Barbara; Diekmann, Odo 17 2008 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. 17 1988 Carrying simplices in discrete competitive systems and age-structured semelparous populations. Zbl 1138.92031Diekmann, Odo; Wang, Yi; Yan, Ping 16 2008 The computation of \(R_ 0\) for discrete-time epidemic models with dynamic heterogeneity. Zbl 0791.92019de Jong, M. C. M.; Diekmann, O.; Heesterbeek, J. A. P. 15 1994 Stability, multiplicity and global continuation of symmetric periodic solutions of a nonlinear Volterra integral equation. Zbl 0596.45009Chow, S.-N.; Diekmann, O.; Mallet-Paret, John 15 1985 Numerical equilibrium analysis for structured consumer resource models. Zbl 1185.92088De Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A. 14 2010 Numerical continuation of equilibria of physiologically structured population models. I: Theory. Zbl 1013.92036Kirkilionis, Markus A.; Diekmann, Odo; Lisser, Bert; Nool, Margreet; Sommeijer, Ben; de Roos, Andre M. 14 2001 Invariant manifolds for Volterra integral equations of convolution type. Zbl 0543.45004Diekmann, O.; van Gils, S. A. 14 1984 Modeling and real-time prediction of classical swine fever epidemics. Zbl 1209.62313Meester, Ronald; de Koning, Jan; de Jong, Mart C. M.; Diekmann, Odo 13 2002 On the (dis) advantages of cannibalism. Zbl 1077.92047Getto, Ph.; Diekmann, O.; de Roos, A. M. 12 2005 On a boom and bust year class cycle. Zbl 1067.92047Diekmann, Odo; Davydova, Natalia; Van Gils, Stephan 11 2005 Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 11 1993 On the stability of the cell-size distribution. II. Time-periodic development rates. Zbl 0667.92015Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R. 11 1986 Prelude to Hopf bifurcation in an epidemic model: Analysis of a characteristic equation associated with a nonlinear Volterra integral equation. Zbl 0487.92023Diekmann, O.; Montijn, R. 11 1982 On the cyclic replicator equation and the dynamics of semelparous populations. Zbl 1179.34044Diekmann, O.; van Gils, S. A. 10 2009 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. 10 1991 Numerical bifurcation analysis of a class of nonlinear renewal equations. Zbl 1413.65298Breda, Dimitri; Diekmann, Odo; Liessi, Davide; Scarabel, Francesca 9 2016 The center manifold for delay equations in the light of suns and stars. Zbl 0742.47009Diekmann, Odo; van Gils, Stephan A. 9 1991 Nonlinear diffusion problems. Zbl 0357.35002Diekmann, O. (ed.); Temme, N. M. (ed.) 9 1976 Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 8 2000 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 Dangerous connections: on binding site models of infectious disease dynamics. Zbl 1364.92048Leung, Ka Yin; Diekmann, Odo 7 2017 The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst 7 1993 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. 7 1989 Overall population stability despite local extinction: The stabilizing influence of prey dispersal from predator-invaded patches. Zbl 0661.92020Sabelis, M. W.; Diekmann, O. 7 1988 Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J. 6 2018 \(SI\) infection on a dynamic partnership network: characterization of \(R_0\). Zbl 1321.34066Leung, Ka Yin; Kretzschmar, Mirjam; Diekmann, Odo 6 2015 Dynamic concurrent partnership networks incorporating demography. Zbl 1338.91116Leung, K. Y.; Kretzschmar, M. E. E.; Diekmann, O. 6 2012 Relative effects of barrier precautions and topical antibiotics on nosocomial bacterial transmission: results of multi-compartment models. Zbl 1296.92233Boldin, B.; Bonten, M. J. M.; Diekmann, O. 6 2007 Volterra integral equations and semigroups of operators. Zbl 0416.45002Diekmann, O. 6 1980 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 1344.34077Diekmann, Odo; Getto, Philipp; Nakata, Yukihiko 5 2016 Linearization of solution operators for state-dependent delay equations: a simple example. Zbl 1371.37046Diekmann, Odo; Korvasová, Karolína 5 2016 Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019Diekmann, O.; Gyllenberg, M.; Thieme, H. R. 5 1991 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 Delay equation formulation of a cyclin-structured cell population model. Zbl 1359.92030Borges, Ricardo; Calsina, Àngel; Cuadrado, Sílvia; Diekmann, Odo 4 2014 On the formulation of epidemic models (an appraisal of Kermack and McKendrick). Zbl 1447.92401Breda, D.; Diekmann, O.; De Graaf, W. F.; Pugliese, A.; Vermiglio, R. 4 2012 Modeling and analysing physiologically structured populations. Zbl 1002.92554Diekmann, Odo 4 1999 Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 4 1995 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 Structured populations with distributed recruitment: from PDE to delay formulation. Zbl 1353.92074Calsina, Àngel; Diekmann, Odo; Farkas, József Z. 3 2016 Invariance and symmetry in a year-class model. Zbl 1040.39001Diekmann, O.; van Gils, S. A. 3 2003 The many facets of evolutionary dynamics. Zbl 0971.92506Diekmann, Odo 3 1997 On the reciprocal relationship between life histories and population dynamics. Zbl 0818.92015Diekmann, Odo; Metz, J. A. J. 3 1994 Reflections and calculations on a prey-predator-patch problem. Zbl 0673.92012Diekmann, O.; Metz, J. A. J.; Sabelis, M. W. 3 1989 Exploring linear chain trickery for physiologically structured populations. Zbl 0664.92014Diekmann, Odo; Metz, Hans 3 1989 Pseudospectral discretization of delay differential equations in sun-star formulation: results and conjectures. Zbl 1450.65061Diekmann, Odo; Scarabel, Francesca; Vermiglio, Rossana 2 2020 Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 2 2020 On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 2 2020 The second half – with a quarter of a century delay. Zbl 1337.92173Diekmann, O.; Gyllenberg, M. 2 2008 Double-jump migration and diffusive instability. Zbl 1334.92342Huang, Yunxin; Diekmann, Odo; van den Bosch, Frank 2 2004 Difference equations with delay. Zbl 1306.39003Diekmann, Odo; van Gils, Stephan A. 2 2000 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 0930.00085Capasso, V. (ed.); Diekmann, O. (ed.); Durrett, R.; Hadeler, K. P.; Maini, P.; Smith, H. L. 2 1999 On the final size of epidemics within herds. Zbl 0852.92019Diekmann, O.; de Koeijer, A. A.; Metz, J. A. J. 2 1996 A new short proof of an old folk theorem in functional differential equations. Zbl 0780.34051Diekmann, O.; Verduyn Lunel, Sjoerd M. 2 1991 A duality principle for delay equations. Zbl 0515.34056Diekmann, Odo 2 1982 Invariant manifolds for Volterra integral equations of convolution type. Zbl 0464.45007Diekmann, O.; van Gils, S. A. 2 1981 On a nonlinear integral equation arising in mathematical epidemiology. Zbl 0386.45006Diekmann, O. 2 1978 The winner takes it all: how semelparous insects can become periodical. Zbl 1437.37117Diekmann, Odo; Planqué, Robert 1 2020 Waning and boosting: on the dynamics of immune status. Zbl 1404.92178Diekmann, O.; de Graaf, W. F.; Kretzschmar, M. E. E.; Teunis, P. F. M. 1 2018 Multiple coexistence equilibria in a two parasitoid-one host model. Zbl 1368.92153Pfab, Ferdinand; Diekmann, Odo; Bhattacharya, Souvik; Pugliese, Andrea 1 2017 Erratum to: “Numerical equilibrium analysis for structured consumer resource models”. Zbl 1402.92437de Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A. 1 2016 A didactical note on the advantage of using two parameters in Hopf bifurcation studies. Zbl 1453.34091Diekmann, O.; Korvasová, K. 1 2013 A numerical approach for investigating the stability of equilibria for structured population models. Zbl 1448.92178Breda, Dimitri; Diekmann, Odo; Maset, Stefano; Vermiglio, Rossana 1 2013 Pseudospectral discretization of delay differential equations in sun-star formulation: results and conjectures. Zbl 1450.65061Diekmann, Odo; Scarabel, Francesca; Vermiglio, Rossana 2 2020 Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 2 2020 On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 2 2020 The winner takes it all: how semelparous insects can become periodical. Zbl 1437.37117Diekmann, Odo; Planqué, Robert 1 2020 Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J. 6 2018 Waning and boosting: on the dynamics of immune status. Zbl 1404.92178Diekmann, O.; de Graaf, W. F.; Kretzschmar, M. E. E.; Teunis, P. F. M. 1 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 Dangerous connections: on binding site models of infectious disease dynamics. Zbl 1364.92048Leung, Ka Yin; Diekmann, Odo 7 2017 Multiple coexistence equilibria in a two parasitoid-one host model. Zbl 1368.92153Pfab, Ferdinand; Diekmann, Odo; Bhattacharya, Souvik; Pugliese, Andrea 1 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. 18 2016 The many guises of \(R_0\) (a didactic note). Zbl 1343.92400Cushing, J. M.; Diekmann, Odo 17 2016 Numerical bifurcation analysis of a class of nonlinear renewal equations. Zbl 1413.65298Breda, Dimitri; Diekmann, Odo; Liessi, Davide; Scarabel, Francesca 9 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 1344.34077Diekmann, Odo; Getto, Philipp; Nakata, Yukihiko 5 2016 Linearization of solution operators for state-dependent delay equations: a simple example. Zbl 1371.37046Diekmann, Odo; Korvasová, Karolína 5 2016 Structured populations with distributed recruitment: from PDE to delay formulation. Zbl 1353.92074Calsina, Àngel; Diekmann, Odo; Farkas, József Z. 3 2016 Erratum to: “Numerical equilibrium analysis for structured consumer resource models”. Zbl 1402.92437de Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A. 1 2016 \(SI\) infection on a dynamic partnership network: characterization of \(R_0\). Zbl 1321.34066Leung, Ka Yin; Kretzschmar, Mirjam; Diekmann, Odo 6 2015 Delay equation formulation of a cyclin-structured cell population model. Zbl 1359.92030Borges, Ricardo; Calsina, Àngel; Cuadrado, Sílvia; Diekmann, Odo 4 2014 Mathematical tools for understanding infectious disease dynamics. Zbl 1304.92009Diekmann, Odo; Heesterbeek, Hans; Britton, Tom 108 2013 A didactical note on the advantage of using two parameters in Hopf bifurcation studies. Zbl 1453.34091Diekmann, O.; Korvasová, K. 1 2013 A numerical approach for investigating the stability of equilibria for structured population models. Zbl 1448.92178Breda, Dimitri; Diekmann, Odo; Maset, Stefano; Vermiglio, Rossana 1 2013 Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133Diekmann, Odo; Gyllenberg, Mats 33 2012 Dynamic concurrent partnership networks incorporating demography. Zbl 1338.91116Leung, K. Y.; Kretzschmar, M. E. E.; Diekmann, O. 6 2012 On the formulation of epidemic models (an appraisal of Kermack and McKendrick). Zbl 1447.92401Breda, D.; Diekmann, O.; De Graaf, W. F.; Pugliese, A.; Vermiglio, R. 4 2012 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. 41 2010 Numerical equilibrium analysis for structured consumer resource models. Zbl 1185.92088De Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A. 14 2010 Can a species keep pace with a shifting climate? Zbl 1169.92043Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A. 75 2009 On the cyclic replicator equation and the dynamics of semelparous populations. Zbl 1179.34044Diekmann, O.; van Gils, S. A. 10 2009 Abstract delay equations inspired by population dynamics. Zbl 1167.47058Diekmann, Odo; Gyllenberg, Mats 19 2008 Superinfections can induce evolutionarily stable coexistence of pathogens. Zbl 1141.92028Boldin, Barbara; Diekmann, Odo 17 2008 Carrying simplices in discrete competitive systems and age-structured semelparous populations. Zbl 1138.92031Diekmann, Odo; Wang, Yi; Yan, Ping 16 2008 The second half – with a quarter of a century delay. Zbl 1337.92173Diekmann, O.; Gyllenberg, M. 2 2008 Calculating the time to extinction of a reactivating virus, in particular bovine herpes virus. Zbl 1138.92351de Koeijer, A. A.; Diekmann, O.; de Jong, M. C. M. 1 2008 Mathematical modeling of biological systems. Volume II: Epidemiology, evolution and ecology, immunology, neural systems and the brain, and innovative mathematical methods. Selected contributions of the European conference on mathematical and theoretical biology (ECMTB05, Dresden, Germany, July 2005). Zbl 1130.92001Deutsch, Andreas (ed.); Bravo de la Parra, Rafael (ed.); de Boer, Rob J. (ed.); Diekmann, Odo (ed.); Jagers, Peter (ed.); Kisdi, Eva (ed.); Kretzschmar, Mirjam (ed.); Lansky, Petr (ed.); Metz, Hans (ed.) 1 2008 Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. Zbl 1149.39021Diekmann, Odo; Getto, Philipp; Gyllenberg, Mats 56 2007 Relative effects of barrier precautions and topical antibiotics on nosocomial bacterial transmission: results of multi-compartment models. Zbl 1296.92233Boldin, B.; Bonten, M. J. M.; Diekmann, O. 6 2007 The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît 77 2005 Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations. Zbl 1073.37093Diekmann, O.; Getto, Ph. 22 2005 On circulant populations. I: The algebra of semelparity. Zbl 1062.92051Davydova, N. V.; Diekmann, O.; van Gils, S. A. 18 2005 On the (dis) advantages of cannibalism. Zbl 1077.92047Getto, Ph.; Diekmann, O.; de Roos, A. M. 12 2005 On a boom and bust year class cycle. Zbl 1067.92047Diekmann, Odo; Davydova, Natalia; Van Gils, Stephan 11 2005 A beginner’s guide to adaptive dynamics. Zbl 1051.92032Diekmann, Odo 78 2004 Double-jump migration and diffusive instability. Zbl 1334.92342Huang, Yunxin; Diekmann, Odo; van den Bosch, Frank 2 2004 Steady-state analysis of structured population models. Zbl 1098.92062Diekmann, O.; Gyllenberg, M.; Metz, J. A. J. 67 2003 Year class coexistence or competitive exclusion for strict biennials? Zbl 1019.92024Davydova, N. V.; Diekmann, O.; van Gils, S. A. 25 2003 Interspecific influence on mobility and Turing instability. Zbl 1334.92341Huang, Yunxin; Diekmann, Odo 23 2003 Invariance and symmetry in a year-class model. Zbl 1040.39001Diekmann, O.; van Gils, S. A. 3 2003 Modeling and real-time prediction of classical swine fever epidemics. Zbl 1209.62313Meester, 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 1028.92019Diekmann, O.; Gyllenberg, M.; Huang, H.; Kirkilionis, M.; Metz, J. A. J. 88 2001 Predator migration in response to prey density: What are the consequences? Zbl 0995.92044Huang, Yunxin; Diekmann, Odo 18 2001 Numerical continuation of equilibria of physiologically structured population models. I: Theory. Zbl 1013.92036Kirkilionis, Markus A.; Diekmann, Odo; Lisser, Bert; Nool, Margreet; Sommeijer, Ben; de Roos, Andre M. 14 2001 Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity. Zbl 0983.92007Greenhalgh, David; Diekmann, Odo; de Jong, Mart C. M. 26 2000 Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 8 2000 Difference equations with delay. Zbl 1306.39003Diekmann, Odo; van Gils, Stephan A. 2 2000 Mathematical epidemiology of infectious diseases. Model building, analysis and interpretation. Zbl 0997.92505Diekmann, O.; Heesterbeek, J. A. P. 611 1999 Modeling and analysing physiologically structured populations. Zbl 1002.92554Diekmann, 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 0930.00085Capasso, V. (ed.); Diekmann, O. (ed.); Durrett, R.; Hadeler, K. P.; Maini, P.; Smith, H. L. 2 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 0932.00079Agur, S. (ed.); Cushing, J. (ed.); Diekmann, O. (ed.); Gyllenberg, M. (ed.); Heesterbeek, H. (ed.); Jagers, P. (ed.); Kimmel, M. (ed.); Kostova, T. V. (ed.); Milner, F. (ed.) 1 1999 On the formulation and analysis of general deterministic structured population models. I: Linear theory. Zbl 0909.92023Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst R. 80 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. 33 1998 Modelling the spread of phocine distemper virus among harbour seals. Zbl 1053.92516de Koeijer, Aline; Diekmann, Odo; Reijinders, Peter 1 1998 The many facets of evolutionary dynamics. Zbl 0971.92506Diekmann, Odo 3 1997 On the final size of epidemics within herds. Zbl 0852.92019Diekmann, O.; de Koeijer, A. A.; Metz, J. A. J. 2 1996 Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto 415 1995 How does transmission of infection depend on population size? Zbl 0850.92042de Jong, Mart C. M.; Diekmann, Odo; Heesterbeek, Hans 63 1995 The legacy of Kermack and McKendrick. Zbl 0839.92018Diekmann, Odo; Heesterbeek, Hans; Metz, Hans 22 1995 Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 4 1995 The computation of \(R_ 0\) for discrete-time epidemic models with dynamic heterogeneity. Zbl 0791.92019de Jong, M. C. M.; Diekmann, O.; Heesterbeek, J. A. P. 15 1994 On the reciprocal relationship between life histories and population dynamics. Zbl 0818.92015Diekmann, Odo; Metz, J. A. J. 3 1994 Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 11 1993 The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst 7 1993 Patterns in the effects of infectious diseases on population growth. Zbl 0732.92024Diekmann, O.; Kretzschmar, M. 41 1991 The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations. Zbl 0748.92010Diekmann, O.; Dietz, K.; Heesterbeek, J. A. P. 20 1991 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. 10 1991 The center manifold for delay equations in the light of suns and stars. Zbl 0742.47009Diekmann, Odo; van Gils, Stephan A. 9 1991 Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019Diekmann, O.; Gyllenberg, M.; Thieme, H. R. 5 1991 A new short proof of an old folk theorem in functional differential equations. Zbl 0780.34051Diekmann, O.; Verduyn Lunel, Sjoerd M. 2 1991 Semigroups and renewal equations on dual Banach spaces with applications to population dynamics. Zbl 0799.47022Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. 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. 916 1990 The velocity of spatial population expansion. Zbl 0732.92026van den Bosch, F.; Metz, J. A. J.; Diekmann, O. 37 1990 Infectious diseases in structured populations. Zbl 0709.92540Diekmann, O.; Heesterbeek, J. A. P.; Metz, J. A. J. 1 1990 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. 7 1989 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 Reflections and calculations on a prey-predator-patch problem. Zbl 0673.92012Diekmann, O.; Metz, J. A. J.; Sabelis, M. W. 3 1989 Exploring linear chain trickery for physiologically structured populations. Zbl 0664.92014Diekmann, Odo; Metz, Hans 3 1989 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. 17 1988 Overall population stability despite local extinction: The stabilizing influence of prey dispersal from predator-invaded patches. Zbl 0661.92020Sabelis, M. W.; Diekmann, O. 7 1988 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. 31 1987 Perturbed dual semigroups and delay equations. Zbl 0632.34067Diekmann, Odo 1 1987 The dynamics of physiologically structured populations. Zbl 0614.92014Metz, J. A. J. (ed.); Diekmann, O. (ed.) 362 1986 Simple mathematical models for cannibalism: A critique and a new approach. Zbl 0587.92020Diekmann, O.; Nisbet, R. M.; Gurney, W. S. C.; van den Bosch, F. 37 1986 On the stability of the cell-size distribution. II. Time-periodic development rates. Zbl 0667.92015Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R. 11 1986 Interactions between egg-eating predator and prey: The effect of the functional response and of age structure. Zbl 0612.92015van den Bosch, F.; Diekmann, O. 1 1986 Dynamics in bio-mathematical perspective. Zbl 0609.92002Diekmann, Odo 1 1986 Stability, multiplicity and global continuation of symmetric periodic solutions of a nonlinear Volterra integral equation. Zbl 0596.45009Chow, S.-N.; Diekmann, O.; Mallet-Paret, John 15 1985 The dynamics of structured populations: some examples. Zbl 0584.92013Diekmann, Odo 1 1985 On the stability of the cell size distribution. Zbl 0543.92021Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R. 88 1984 Invariant manifolds for Volterra integral equations of convolution type. Zbl 0543.45004Diekmann, O.; van Gils, S. A. 14 1984 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 The stable size distributions: An example in structured population dynamics. Zbl 0535.92021Diekmann, Odo 1 1984 ...and 14 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,990 Authors 57 Diekmann, Odo 46 Wu, Jianhong 43 Gyllenberg, Mats 38 Thieme, Horst R. 36 Ruan, Shigui 35 Gumel, Abba B. 35 Zhao, Xiao-Qiang 33 van den Driessche, Pauline 32 Kuniya, Toshikazu 29 Zou, Xingfu 27 Teng, Zhi-dong 26 Feng, Zhilan 26 Jin, Zhen 25 Wang, Jinliang 25 Wang, Wendi 24 Metz, Johan A. Jacob 24 Perthame, Benoît 24 Webb, Glenn Francis 23 Li, Wan-Tong 21 Xiao, Yanni 20 Zhang, Tailei 19 Breda, Dimitri 19 Pugliese, Andrea 18 Inaba, Hisashi 18 Magal, Pierre 17 Calsina, Àngel 17 Castillo-Chavez, Carlos 17 Walther, Hans-Otto 16 Cushing, Jim M. 16 Farkas, József Zoltán 16 Rezunenko, Oleksandr V”yacheslavovych 16 Trapman, Pieter 15 Ball, Frank G. 15 Britton, Tom 15 Chen, Lansun 15 Lou, Yuan 15 Sun, Guiquan 15 Verduyn Lunel, Sjoerd M. 14 Allen, Linda J. 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