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Diekmann, Odo

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Author ID: diekmann.odo Recent zbMATH articles by "Diekmann, Odo"
Published as: Diekmann, O.; Diekmann, Odo
External Links: MGP · Wikidata
Documents Indexed: 142 Publications since 1975, including 17 Books
Biographic References: 1 Publication
all top 5

Co-Authors

22 single-authored
27 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 Heesterbeek, J. A. P.
5 Kirkilionis, Markus A.
4 Breda, Dimitri
4 Clément, Philippe J. E.
4 Heesterbeek, Hans
4 Leung, Ka Yin
4 van den Bosch, Frank
4 Vermiglio, Rossana
3 Boldin, Barbara
3 Davydova, N. V.
3 de Koeijer, Aline
3 Huang, Yunxin
3 Scarabel, Francesca
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.
2 Verduyn Lunel, Sjoerd M.
1 Agur, S.
1 Aldenberg, Tom
1 Berestycki, Henri
1 Bhattacharya, Souvik
1 Bonten, M. 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 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.
1 Teunis, P. F. M.
...and 4 more Co-Authors
all top 5

Serials

28 Journal of Mathematical Biology
8 Mathematical Biosciences
7 Bulletin of Mathematical Biology
5 Theoretical Population Biology
4 Journal of Differential Equations
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 SIAM Journal on Applied 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 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

Publications by Year

Citations contained in zbMATH

109 Publications have been cited 4,199 times in 3,075 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.
880
1990
Mathematical epidemiology of infectious diseases. Model building, analysis and interpretation. Zbl 0997.92505
Diekmann, O.; Heesterbeek, J. A. P.
597
1999
Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002
Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto
400
1995
The dynamics of physiologically structured populations. Zbl 0614.92014
Metz, J. A. J. (ed.); Diekmann, O. (ed.)
355
1986
Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020
Diekmann, O.
147
1978
Mathematical tools for understanding infectious disease dynamics. Zbl 1304.92009
Diekmann, Odo; Heesterbeek, Hans; Britton, Tom
106
2013
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
86
1984
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.
84
2001
Run for your life. A note on the asymptotic speed of propagation of an epidemic. Zbl 0377.45007
Diekmann, O.
80
1979
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.
77
1998
The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035
Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît
76
2005
A beginner’s guide to adaptive dynamics. Zbl 1051.92032
Diekmann, Odo
76
2004
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
70
2009
Steady-state analysis of structured population models. Zbl 1098.92062
Diekmann, O.; Gyllenberg, M.; Metz, J. A. J.
66
2003
On the bounded solutions of a nonlinear convolution equation. Zbl 0433.92028
Diekmann, Odo; Kaper, Hans G.
66
1978
How does transmission of infection depend on population size? Zbl 0850.92042
de Jong, Mart C. M.; Diekmann, Odo; Heesterbeek, Hans
62
1995
Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. Zbl 1149.39021
Diekmann, Odo; Getto, Philipp; Gyllenberg, Mats
54
2007
Patterns in the effects of infectious diseases on population growth. Zbl 0732.92024
Diekmann, O.; Kretzschmar, M.
43
1991
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.
39
2010
The velocity of spatial population expansion. Zbl 0732.92026
van den Bosch, F.; Metz, J. A. J.; Diekmann, O.
39
1990
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.
37
1986
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.
33
1998
Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133
Diekmann, Odo; Gyllenberg, Mats
30
2012
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.
30
1987
Limiting behaviour in an epidemic model. Zbl 0371.92024
Diekmann, O.
30
1977
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.
26
2000
Interspecific influence on mobility and Turing instability. Zbl 1334.92341
Huang, Yunxin; Diekmann, Odo
24
2003
Year class coexistence or competitive exclusion for strict biennials? Zbl 1019.92024
Davydova, N. V.; Diekmann, O.; van Gils, S. A.
24
2003
Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations. Zbl 1073.37093
Diekmann, O.; Getto, Ph.
22
2005
The legacy of Kermack and McKendrick. Zbl 0839.92018
Diekmann, Odo; Heesterbeek, Hans; Metz, Hans
21
1995
The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations. Zbl 0748.92010
Diekmann, O.; Dietz, K.; Heesterbeek, J. A. P.
20
1991
Growth, fission and the stable size distribution. Zbl 0533.92016
Diekmann, O.; Lauwerier, H. A.; Aldenberg, T.; Metz, J. A. J.
20
1983
Abstract delay equations inspired by population dynamics. Zbl 1167.47058
Diekmann, Odo; Gyllenberg, Mats
18
2008
On circulant populations. I: The algebra of semelparity. Zbl 1062.92051
Davydova, N. V.; Diekmann, O.; van Gils, S. A.
18
2005
Predator migration in response to prey density: What are the consequences? Zbl 0995.92044
Huang, Yunxin; Diekmann, Odo
18
2001
Superinfections can induce evolutionarily stable coexistence of pathogens. Zbl 1141.92028
Boldin, Barbara; Diekmann, Odo
17
2008
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.
17
1988
The many guises of \(R_0\) (a didactic note). Zbl 1343.92400
Cushing, J. M.; Diekmann, Odo
16
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.
15
2016
Carrying simplices in discrete competitive systems and age-structured semelparous populations. Zbl 1138.92031
Diekmann, Odo; Wang, Yi; Yan, Ping
15
2008
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
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.
14
2001
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.
14
1994
Invariant manifolds for Volterra integral equations of convolution type. Zbl 0543.45004
Diekmann, O.; van Gils, S. A.
14
1984
Numerical equilibrium analysis for structured consumer resource models. Zbl 1185.92088
De Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A.
13
2010
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 (dis) advantages of cannibalism. Zbl 1077.92047
Getto, Ph.; Diekmann, O.; de Roos, A. M.
12
2005
On a boom and bust year class cycle. Zbl 1067.92047
Diekmann, Odo; Davydova, Natalia; Van Gils, Stephan
11
2005
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.
11
1986
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.
11
1982
On the cyclic replicator equation and the dynamics of semelparous populations. Zbl 1179.34044
Diekmann, O.; van Gils, S. A.
10
2009
Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
10
1993
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.
10
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
Nonlinear diffusion problems. Zbl 0357.35002
Diekmann, O. (ed.); Temme, N. M. (ed.)
9
1976
Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007
Diekmann, 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 1403.92324
Diekmann, 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 1364.92048
Leung, Ka Yin; Diekmann, Odo
7
2017
Numerical bifurcation analysis of a class of nonlinear renewal equations. Zbl 1413.65298
Breda, Dimitri; Diekmann, Odo; Liessi, Davide; Scarabel, Francesca
7
2016
The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021
Diekmann, 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 0675.47036
Clément, 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 0661.92020
Sabelis, M. W.; Diekmann, O.
7
1988
\(SI\) infection on a dynamic partnership network: characterization of \(R_0\). Zbl 1321.34066
Leung, Ka Yin; Kretzschmar, Mirjam; Diekmann, Odo
6
2015
Dynamic concurrent partnership networks incorporating demography. Zbl 1338.91116
Leung, 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 1296.92233
Boldin, B.; Bonten, M. J. M.; Diekmann, O.
6
2007
Volterra integral equations and semigroups of operators. Zbl 0416.45002
Diekmann, O.
6
1980
Linearization of solution operators for state-dependent delay equations: a simple example. Zbl 1371.37046
Diekmann, Odo; Korvasová, Karolína
5
2016
Perturbation theory for dual semigroups. V: Variation of constants formulas. Zbl 0746.47019
Diekmann, O.; Gyllenberg, M.; Thieme, H. R.
5
1991
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.
5
1989
Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.
4
2018
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
4
2016
Delay equation formulation of a cyclin-structured cell population model. Zbl 1359.92030
Borges, Ricardo; Calsina, Àngel; Cuadrado, Sílvia; Diekmann, Odo
4
2014
Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
4
1995
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
Structured populations with distributed recruitment: from PDE to delay formulation. Zbl 1353.92074
Calsina, Àngel; Diekmann, Odo; Farkas, József Z.
3
2016
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.
3
2012
Invariance and symmetry in a year-class model. Zbl 1040.39001
Diekmann, O.; van Gils, S. A.
3
2003
Modeling and analysing physiologically structured populations. Zbl 1002.92554
Diekmann, Odo
3
1999
The many facets of evolutionary dynamics. Zbl 0971.92506
Diekmann, Odo
3
1997
On the reciprocal relationship between life histories and population dynamics. Zbl 0818.92015
Diekmann, Odo; Metz, J. A. J.
3
1994
Reflections and calculations on a prey-predator-patch problem. Zbl 0673.92012
Diekmann, O.; Metz, J. A. J.; Sabelis, M. W.
3
1989
Exploring linear chain trickery for physiologically structured populations. Zbl 0664.92014
Diekmann, Odo; Metz, Hans
3
1989
The second half – with a quarter of a century delay. Zbl 1337.92173
Diekmann, O.; Gyllenberg, M.
2
2008
Double-jump migration and diffusive instability. Zbl 1334.92342
Huang, Yunxin; Diekmann, Odo; van den Bosch, Frank
2
2004
Difference equations with delay. Zbl 1306.39003
Diekmann, 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 0930.00085
Capasso, 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 0852.92019
Diekmann, 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 0780.34051
Diekmann, O.; Verduyn Lunel, Sjoerd M.
2
1991
A duality principle for delay equations. Zbl 0515.34056
Diekmann, Odo
2
1982
Invariant manifolds for Volterra integral equations of convolution type. Zbl 0464.45007
Diekmann, O.; van Gils, S. A.
2
1981
On a nonlinear integral equation arising in mathematical epidemiology. Zbl 0386.45006
Diekmann, O.
2
1978
The winner takes it all: how semelparous insects can become periodical. Zbl 1437.37117
Diekmann, Odo; Planqué, Robert
1
2020
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.
1
2018
Multiple coexistence equilibria in a two parasitoid-one host model. Zbl 1368.92153
Pfab, Ferdinand; Diekmann, Odo; Bhattacharya, Souvik; Pugliese, Andrea
1
2017
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
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
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 1130.92001
Deutsch, 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
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
Agur, 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
Modelling the spread of phocine distemper virus among harbour seals. Zbl 1053.92516
de Koeijer, Aline; Diekmann, Odo; Reijinders, Peter
1
1998
Semigroups and renewal equations on dual Banach spaces with applications to population dynamics. Zbl 0799.47022
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
1
1991
The winner takes it all: how semelparous insects can become periodical. Zbl 1437.37117
Diekmann, Odo; Planqué, Robert
1
2020
Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.
4
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.
1
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.
7
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
1
2017
The many guises of \(R_0\) (a didactic note). Zbl 1343.92400
Cushing, J. M.; Diekmann, Odo
16
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.
15
2016
Numerical bifurcation analysis of a class of nonlinear renewal equations. Zbl 1413.65298
Breda, Dimitri; Diekmann, Odo; Liessi, Davide; Scarabel, Francesca
7
2016
Linearization of solution operators for state-dependent delay equations: a simple example. Zbl 1371.37046
Diekmann, Odo; Korvasová, Karolína
5
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
4
2016
Structured populations with distributed recruitment: from PDE to delay formulation. Zbl 1353.92074
Calsina, Àngel; Diekmann, Odo; Farkas, József Z.
3
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
6
2015
Delay equation formulation of a cyclin-structured cell population model. Zbl 1359.92030
Borges, Ricardo; Calsina, Àngel; Cuadrado, Sílvia; Diekmann, Odo
4
2014
Mathematical tools for understanding infectious disease dynamics. Zbl 1304.92009
Diekmann, Odo; Heesterbeek, Hans; Britton, Tom
106
2013
Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133
Diekmann, Odo; Gyllenberg, Mats
30
2012
Dynamic concurrent partnership networks incorporating demography. Zbl 1338.91116
Leung, K. Y.; Kretzschmar, M. E. E.; Diekmann, O.
6
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.
3
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.
39
2010
Numerical equilibrium analysis for structured consumer resource models. Zbl 1185.92088
De Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A.
13
2010
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
70
2009
On the cyclic replicator equation and the dynamics of semelparous populations. Zbl 1179.34044
Diekmann, O.; van Gils, S. A.
10
2009
Abstract delay equations inspired by population dynamics. Zbl 1167.47058
Diekmann, Odo; Gyllenberg, Mats
18
2008
Superinfections can induce evolutionarily stable coexistence of pathogens. Zbl 1141.92028
Boldin, Barbara; Diekmann, Odo
17
2008
Carrying simplices in discrete competitive systems and age-structured semelparous populations. Zbl 1138.92031
Diekmann, Odo; Wang, Yi; Yan, Ping
15
2008
The second half – with a quarter of a century delay. Zbl 1337.92173
Diekmann, O.; Gyllenberg, M.
2
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
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 1130.92001
Deutsch, 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 1149.39021
Diekmann, Odo; Getto, Philipp; Gyllenberg, Mats
54
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.
6
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
76
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.
12
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
76
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.
66
2003
Interspecific influence on mobility and Turing instability. Zbl 1334.92341
Huang, Yunxin; Diekmann, Odo
24
2003
Year class coexistence or competitive exclusion for strict biennials? Zbl 1019.92024
Davydova, N. V.; Diekmann, O.; van Gils, S. A.
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.
84
2001
Predator migration in response to prey density: What are the consequences? Zbl 0995.92044
Huang, Yunxin; Diekmann, Odo
18
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.
14
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.
26
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.
597
1999
Modeling and analysing physiologically structured populations. Zbl 1002.92554
Diekmann, Odo
3
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
Capasso, 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 0932.00079
Agur, 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 0909.92023
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst R.
77
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.
33
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
400
1995
How does transmission of infection depend on population size? Zbl 0850.92042
de Jong, Mart C. M.; Diekmann, Odo; Heesterbeek, Hans
62
1995
The legacy of Kermack and McKendrick. Zbl 0839.92018
Diekmann, Odo; Heesterbeek, Hans; Metz, Hans
21
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.
14
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.
10
1993
The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021
Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst
7
1993
Patterns in the effects of infectious diseases on population growth. Zbl 0732.92024
Diekmann, O.; Kretzschmar, M.
43
1991
The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations. Zbl 0748.92010
Diekmann, 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 0766.92017
Metz, J. A. J.; Diekmann, O.
10
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
A new short proof of an old folk theorem in functional differential equations. Zbl 0780.34051
Diekmann, O.; Verduyn Lunel, Sjoerd M.
2
1991
Semigroups and renewal equations on dual Banach spaces with applications to population dynamics. Zbl 0799.47022
Diekmann, 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 0726.92018
Diekmann, O.; Heesterbeek, J. A. P.; Metz, J. A. J.
880
1990
The velocity of spatial population expansion. Zbl 0732.92026
van den Bosch, F.; Metz, J. A. J.; Diekmann, O.
39
1990
Infectious diseases in structured populations. Zbl 0709.92540
Diekmann, 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 0675.47036
Clément, 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 0699.47028
Clément, 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 0673.92012
Diekmann, O.; Metz, J. A. J.; Sabelis, M. W.
3
1989
Exploring linear chain trickery for physiologically structured populations. Zbl 0664.92014
Diekmann, Odo; Metz, Hans
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.
17
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.
30
1987
Perturbed dual semigroups and delay equations. Zbl 0632.34067
Diekmann, Odo
1
1987
The dynamics of physiologically structured populations. Zbl 0614.92014
Metz, J. A. J. (ed.); Diekmann, O. (ed.)
355
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.
37
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.
11
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
Dynamics in bio-mathematical perspective. Zbl 0609.92002
Diekmann, Odo
1
1986
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
The dynamics of structured populations: some examples. Zbl 0584.92013
Diekmann, Odo
1
1985
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
86
1984
Invariant manifolds for Volterra integral equations of convolution type. Zbl 0543.45004
Diekmann, O.; van Gils, S. A.
14
1984
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 stable size distributions: An example in structured population dynamics. Zbl 0535.92021
Diekmann, Odo
1
1984
Growth, fission and the stable size distribution. Zbl 0533.92016
Diekmann, O.; Lauwerier, H. A.; Aldenberg, T.; Metz, J. A. J.
20
1983
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.
11
1982
A duality principle for delay equations. Zbl 0515.34056
Diekmann, Odo
2
1982
Invariant manifolds for Volterra integral equations of convolution type. Zbl 0464.45007
Diekmann, O.; van Gils, S. A.
2
1981
Limiting equations and unstable manifolds associated with nonlinear Volterra integral equations of convolution type. Zbl 0486.45002
Diekmann, Odo; van Gils, Stephan
1
1981
...and 9 more Documents
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Cited by 3,866 Authors

54 Diekmann, Odo
46 Wu, Jianhong
41 Gyllenberg, Mats
38 Thieme, Horst R.
35 Gumel, Abba B.
35 Ruan, Shigui
34 Zhao, Xiao-Qiang
33 van den Driessche, Pauline
31 Kuniya, Toshikazu
28 Jin, Zhen
28 Zou, Xingfu
26 Feng, Zhilan
26 Teng, Zhi-dong
25 Wang, Jinliang
25 Wang, Wendi
24 Metz, Johan A. Jacob
24 Perthame, Benoît
24 Webb, Glenn Francis
22 Li, Wan-Tong
21 Xiao, Yanni
20 Zhang, Tailei
19 Pugliese, Andrea
18 Inaba, Hisashi
18 Magal, Pierre
17 Calsina, Àngel
17 Castillo-Chavez, Carlos
17 Walther, Hans-Otto
16 Breda, Dimitri
16 Cushing, Jim M.
16 Farkas, József Zoltán
16 Sun, Guiquan
16 Trapman, Pieter
15 Ball, Frank G.
15 Britton, Tom
15 Chen, Lansun
15 Rezunenko, Oleksandr V”yacheslavovych
14 Allen, Linda J. S.
14 Bacaër, Nicolas
14 Ducrot, Arnaud
14 Greenhalgh, David
14 Lou, Yuan
14 Martcheva, Maia
14 Mirrahimi, Sepideh
14 Moghadas, Seyed M.
14 Roberts, Michael George
14 Weng, Peixuan
13 Chen, Yuming
13 Geritz, Stefan A. H.
13 Kretzschmar, Mirjam E. E.
13 Lewis, Mark Alun
13 Liu, Xianning
13 Tchuenche, Jean Michel
13 Trofimchuk, Sergei I.
13 Verduyn Lunel, Sjoerd M.
12 de Roos, André M.
12 Garira, Winston S.
12 Hadeler, Karl-Peter
12 Kiss, István Z.
12 Lutscher, Frithjof
12 Mukandavire, Zindoga
12 Röst, Gergely
12 Samanta, Guru Prasad
12 Shuai, Zhisheng
12 Wang, Feng-Bin
12 Zhu, Huaiping
11 Agusto, Folashade B.
11 Chattopadhyay, Joydev
11 Chowell, Gerardo
11 Getto, Philipp
11 Jiang, Jifa
11 Lam, King-Yeung
11 Li, Jia
11 Lin, Guo
11 Liu, Shengqiang
11 Ma, Wanbiao
11 Rass, Linda
11 Vermiglio, Rossana
11 Wang, Zhi Cheng
11 Yang, Junyuan
10 Arino, Ovide
10 Dietz, Klaus
10 Gao, Daozhou
10 Heesterbeek, J. A. P.
10 Heijmans, Henk J. A. M.
10 Hupkes, Hermen Jan
10 Hyman, James M.
10 Kang, Yun
10 Krisztin, Tibor
10 Li, Bingtuan
10 Li, Xuezhi
10 Liu, Junli
10 Lou, Yijun
10 Niu, Lei
10 Sallet, Gauthier
10 Tang, Sanyi
10 Wang, Wei
10 Wang, Xueying
10 Zhou, Yicang
9 Angulo, Oscar
9 Brauer, Fred
...and 3,766 more Authors
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Cited in 291 Serials

284 Mathematical Biosciences
279 Journal of Mathematical Biology
179 Journal of Theoretical Biology
156 Bulletin of Mathematical Biology
138 Journal of Differential Equations
103 Journal of Mathematical Analysis and Applications
99 Applied Mathematics and Computation
93 Theoretical Population Biology
85 Nonlinear Analysis. Real World Applications
84 Journal of Biological Dynamics
77 Discrete and Continuous Dynamical Systems. Series B
58 Journal of Dynamics and Differential Equations
51 Mathematical and Computer Modelling
50 Mathematical Biosciences and Engineering
45 Journal of Computational and Applied Mathematics
34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
33 Applied Mathematical Modelling
33 Journal of Biological Systems
33 International Journal of Biomathematics
32 Computers & Mathematics with Applications
32 Chaos, Solitons and Fractals
27 Mathematical Methods in the Applied Sciences
25 SIAM Journal on Applied Mathematics
24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
23 Mathematical Population Studies
23 Advances in Difference Equations
22 Abstract and Applied Analysis
21 Acta Applicandae Mathematicae
20 Discrete and Continuous Dynamical Systems
20 Communications in Nonlinear Science and Numerical Simulation
19 Applied Mathematics Letters
19 Computational & Mathematical Methods in Medicine
18 Mathematical Modelling of Natural Phenomena
16 Applicable Analysis
16 Physica D
16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Communications on Pure and Applied Analysis
14 Proceedings of the American Mathematical Society
14 Journal of Difference Equations and Applications
14 Journal of Applied Mathematics and Computing
13 Differential Equations and Dynamical Systems
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Rocky Mountain Journal of Mathematics
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Complexity
12 Chaos
12 Discrete Dynamics in Nature and Society
12 Journal of Applied Mathematics
11 SIAM Journal on Mathematical Analysis
11 The ANZIAM Journal
10 International Journal of Mathematics and Mathematical Sciences
10 Ricerche di Matematica
10 Transactions of the American Mathematical Society
10 Nonlinear Dynamics
10 SIAM Journal on Applied Dynamical Systems
9 Nonlinearity
9 Physica A
9 Applied Numerical Mathematics
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Journal of Nonlinear Science
8 Journal of Mathematical Sciences (New York)
8 Discrete and Continuous Dynamical Systems. Series S
8 Nonlinear Analysis. Theory, Methods & Applications
7 Semigroup Forum
7 European Journal of Applied Mathematics
7 Japan Journal of Industrial and Applied Mathematics
7 Journal of Evolution Equations
7 International Journal of Applied and Computational Mathematics
6 Journal of the Franklin Institute
6 Linear Algebra and its Applications
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Stochastic Processes and their Applications
6 Natural Resource Modeling
6 Journal of Statistical Mechanics: Theory and Experiment
6 ISRN Biomathematics
5 Journal of Statistical Physics
5 Journal of Functional Analysis
5 Journal of Mathematical Economics
5 Numerische Mathematik
5 Acta Mathematicae Applicatae Sinica. English Series
5 The Annals of Applied Probability
5 Calculus of Variations and Partial Differential Equations
5 Journal of Applied Analysis and Computation
4 Advances in Applied Probability
4 Physics Letters. A
4 Physics Reports
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Automatica
4 Journal of Applied Probability
4 Journal of Optimization Theory and Applications
4 Mathematische Annalen
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Numerical Methods for Partial Differential Equations
4 European Journal of Operational Research
4 Computational and Applied Mathematics
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Nonlinear Analysis. Modelling and Control
4 International Journal of Differential Equations
4 ISRN Applied Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
...and 191 more Serials
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Cited in 46 Fields

2,454 Biology and other natural sciences (92-XX)
1,062 Ordinary differential equations (34-XX)
707 Partial differential equations (35-XX)
432 Dynamical systems and ergodic theory (37-XX)
251 Numerical analysis (65-XX)
231 Integral equations (45-XX)
218 Probability theory and stochastic processes (60-XX)
163 Operator theory (47-XX)
131 Systems theory; control (93-XX)
120 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
79 Difference and functional equations (39-XX)
78 Calculus of variations and optimal control; optimization (49-XX)
69 Statistics (62-XX)
43 Combinatorics (05-XX)
32 Statistical mechanics, structure of matter (82-XX)
32 Operations research, mathematical programming (90-XX)
19 Computer science (68-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
15 Global analysis, analysis on manifolds (58-XX)
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11 Functional analysis (46-XX)
10 Information and communication theory, circuits (94-XX)
7 Mechanics of deformable solids (74-XX)
7 Fluid mechanics (76-XX)
6 Optics, electromagnetic theory (78-XX)
5 Integral transforms, operational calculus (44-XX)
4 History and biography (01-XX)
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3 Mathematics education (97-XX)
2 General and overarching topics; collections (00-XX)
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