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Author ID: diekmann.odo Recent zbMATH articles by "Diekmann, Odo"
Published as: Diekmann, Odo; Diekmann, O.
External Links: MGP
Documents Indexed: 137 Publications since 1975, including 11 Books
10 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 97 Co-Authors with 124 Joint Publications
2,606 Co-Co-Authors
all top 5

Co-Authors

22 single-authored
29 Gyllenberg, Mats
21 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 Breda, Dimitri
5 Heesterbeek, J. A. P.
5 Kirkilionis, Markus A.
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 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 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 Franco, Eugenia
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
1 Hillen, Thomas
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
1 Smith, Hal Leslie
1 Sommeijer, Ben P.
1 Takeuchi, Yasuhiro
1 Temme, Nico M.
1 Teunis, P. F. 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 Acta Applicandae Mathematicae
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 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 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
1 MC Syllabus

Publications by Year

Citations contained in zbMATH Open

112 Publications have been cited 4,816 times in 3,547 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.
1990
Mathematical epidemiology of infectious diseases. Model building, analysis and interpretation. Zbl 0997.92505
Diekmann, O.; Heesterbeek, J. A. P.
679
1999
The dynamics of physiologically structured populations. Zbl 0614.92014
375
1986
Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002
Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto
359
1995
Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020
Diekmann, O.
178
1978
Mathematical tools for understanding infectious disease dynamics. Zbl 1304.92009
Diekmann, Odo; Heesterbeek, Hans; Britton, Tom
135
2013
Run for your life. A note on the asymptotic speed of propagation of an epidemic. Zbl 0377.45007
Diekmann, O.
97
1979
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
96
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.
94
2001
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
94
2009
A beginner’s guide to adaptive dynamics. Zbl 1051.92032
Diekmann, Odo
89
2004
The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035
Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît
89
2005
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.
84
1998
On the bounded solutions of a nonlinear convolution equation. Zbl 0433.92028
Diekmann, Odo; Kaper, Hans G.
72
1978
Steady-state analysis of structured population models. Zbl 1098.92062
Diekmann, O.; Gyllenberg, M.; Metz, J. A. J.
70
2003
Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. Zbl 1149.39021
Diekmann, Odo; Getto, Philipp; Gyllenberg, Mats
67
2007
How does transmission of infection depend on population size? Zbl 0850.92042
de Jong, Mart C. M.; Diekmann, Odo; Heesterbeek, Hans
64
1995
Patterns in the effects of infectious diseases on population growth. Zbl 0732.92024
Diekmann, O.; Kretzschmar, M.
44
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.
44
2010
Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133
Diekmann, Odo; Gyllenberg, Mats
42
2012
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.
38
1986
The velocity of spatial population expansion. Zbl 0732.92026
van den Bosch, F.; Metz, J. A. J.; Diekmann, O.
37
1990
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.
35
1998
Limiting behaviour in an epidemic model. Zbl 0371.92024
Diekmann, O.
35
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.
33
1987
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.
28
2000
Year class coexistence or competitive exclusion for strict biennials? Zbl 1019.92024
Davydova, N. V.; Diekmann, O.; van Gils, S. A.
27
2003
The legacy of Kermack and McKendrick. Zbl 0839.92018
Diekmann, Odo; Heesterbeek, Hans; Metz, Hans
24
1995
The many guises of \(R_0\) (a didactic note). Zbl 1343.92400
Cushing, J. M.; Diekmann, Odo
24
2016
Interspecific influence on mobility and Turing instability. Zbl 1334.92341
Huang, Yunxin; Diekmann, Odo
23
2003
Abstract delay equations inspired by population dynamics. Zbl 1167.47058
Diekmann, Odo; Gyllenberg, Mats
23
2008
The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations. Zbl 0748.92010
Diekmann, O.; Dietz, K.; Heesterbeek, J. A. P.
22
1991
Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations. Zbl 1073.37093
Diekmann, O.; Getto, Ph.
22
2005
Superinfections can induce evolutionarily stable coexistence of pathogens. Zbl 1141.92028
Boldin, Barbara; Diekmann, Odo
21
2008
Growth, fission and the stable size distribution. Zbl 0533.92016
Diekmann, O.; Lauwerier, H. A.; Aldenberg, T.; Metz, J. A. J.
21
1983
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.
20
2016
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.
19
1988
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
Carrying simplices in discrete competitive systems and age-structured semelparous populations. Zbl 1138.92031
Diekmann, Odo; Wang, Yi; Yan, Ping
18
2008
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.
15
2001
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 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.
15
1994
On the (dis) advantages of cannibalism. Zbl 1077.92047
Getto, Ph.; Diekmann, O.; de Roos, A. M.
14
2005
Numerical equilibrium analysis for structured consumer resource models. Zbl 1185.92088
De Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A.
14
2010
Invariant manifolds for Volterra integral equations of convolution type. Zbl 0543.45004
Diekmann, O.; van Gils, S. A.
14
1984
Perturbing semigroups by solving Stieltjes renewal equations. Zbl 0770.47012
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
13
1993
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 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
On the cyclic replicator equation and the dynamics of semelparous populations. Zbl 1179.34044
Diekmann, O.; van Gils, S. A.
12
2009
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.
12
1982
Numerical bifurcation analysis of a class of nonlinear renewal equations. Zbl 1413.65298
Breda, Dimitri; Diekmann, Odo; Liessi, Davide; Scarabel, Francesca
12
2016
On a boom and bust year class cycle. Zbl 1067.92047
Diekmann, Odo; Davydova, Natalia; Van Gils, Stephan
11
2005
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.
11
1991
The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021
Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst
11
1993
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.
10
2012
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
9
1976
Lack of uniqueness in transport equations with a nonlocal nonlinearity. Zbl 1012.45007
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
8
2000
Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.
8
2018
\(SI\) infection on a dynamic partnership network: characterization of \(R_0\). Zbl 1321.34066
Leung, Ka Yin; Kretzschmar, Mirjam; Diekmann, Odo
7
2015
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
Dangerous connections: on binding site models of infectious disease dynamics. Zbl 1364.92048
Leung, Ka Yin; Diekmann, Odo
7
2017
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
Dynamic concurrent partnership networks incorporating demography. Zbl 1338.91116
Leung, K. Y.; Kretzschmar, M. E. E.; Diekmann, O.
6
2012
Volterra integral equations and semigroups of operators. Zbl 0416.45002
Diekmann, O.
6
1980
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
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
5
2016
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.
5
1989
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
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.
5
2018
Perturbing evolutionary systems by step responses and cumulative outputs. Zbl 0834.47043
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R.
4
1995
Modeling and analysing physiologically structured populations. Zbl 1002.92554
Diekmann, Odo
4
1999
Linearization of solution operators for state-dependent delay equations: a simple example. Zbl 1371.37046
Diekmann, Odo; Korvasová, Karolína
4
2016
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
Delay equation formulation of a cyclin-structured cell population model. Zbl 1359.92030
Borges, Ricardo; Calsina, Àngel; Cuadrado, Sílvia; Diekmann, Odo
4
2014
On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
4
2020
Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
4
2020
Pseudospectral discretization of delay differential equations in sun-star formulation: results and conjectures. Zbl 1450.65061
Diekmann, Odo; Scarabel, Francesca; Vermiglio, Rossana
4
2020
Structured populations with distributed recruitment: from PDE to delay formulation. Zbl 1353.92074
Calsina, Àngel; Diekmann, Odo; Farkas, József Z.
4
2016
The many facets of evolutionary dynamics. Zbl 0971.92506
Diekmann, Odo
3
1997
Invariance and symmetry in a year-class model. Zbl 1040.39001
Diekmann, O.; van Gils, S. A.
3
2003
The second half – with a quarter of a century delay. Zbl 1337.92173
Diekmann, O.; Gyllenberg, M.
3
2008
On the reciprocal relationship between life histories and population dynamics. Zbl 0818.92015
Diekmann, Odo; Metz, J. A. J.
3
1994
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
A numerical approach for investigating the stability of equilibria for structured population models. Zbl 1448.92178
Breda, Dimitri; Diekmann, Odo; Maset, Stefano; Vermiglio, Rossana
3
2013
Twin semigroups and delay equations. Zbl 1472.34120
Diekmann, O.; Verduyn Lunel, S. M.
3
2021
On the final size of epidemics within herds. Zbl 0852.92019
Diekmann, O.; de Koeijer, A. A.; Metz, J. A. J.
2
1996
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
A new short proof of an old folk theorem in functional differential equations. Zbl 0780.34051
Diekmann, O.; Verduyn Lunel, Sjoerd M.
2
1991
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
2
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.
2
2021
Multiple coexistence equilibria in a two parasitoid-one host model. Zbl 1368.92153
Pfab, Ferdinand; Diekmann, Odo; Bhattacharya, Souvik; Pugliese, Andrea
2
2017
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
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
Twin semigroups and delay equations. Zbl 1472.34120
Diekmann, O.; Verduyn Lunel, S. M.
3
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.
2
2021
Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation. Zbl 1464.35375
Scarabel, Francesca; Breda, Dimitri; Diekmann, Odo; Gyllenberg, Mats; Vermiglio, Rossana
1
2021
On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
4
2020
Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
4
2020
Pseudospectral discretization of delay differential equations in sun-star formulation: results and conjectures. Zbl 1450.65061
Diekmann, Odo; Scarabel, Francesca; Vermiglio, Rossana
4
2020
The winner takes it all: how semelparous insects can become periodical. Zbl 1437.37117
Diekmann, Odo; Planqué, Robert
2
2020
Finite dimensional state representation of linear and nonlinear delay systems. Zbl 1405.34066
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.
8
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.
5
2018
Dangerous connections: on binding site models of infectious disease dynamics. Zbl 1364.92048
Leung, Ka Yin; Diekmann, Odo
7
2017
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
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
24
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.
20
2016
Numerical bifurcation analysis of a class of nonlinear renewal equations. Zbl 1413.65298
Breda, Dimitri; Diekmann, Odo; Liessi, Davide; Scarabel, Francesca
12
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
5
2016
Linearization of solution operators for state-dependent delay equations: a simple example. Zbl 1371.37046
Diekmann, Odo; Korvasová, Karolína
4
2016
Structured populations with distributed recruitment: from PDE to delay formulation. Zbl 1353.92074
Calsina, Àngel; Diekmann, Odo; Farkas, József Z.
4
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
7
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
1
2014
Mathematical tools for understanding infectious disease dynamics. Zbl 1304.92009
Diekmann, Odo; Heesterbeek, Hans; Britton, Tom
135
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
3
2013
A didactical note on the advantage of using two parameters in Hopf bifurcation studies. Zbl 1453.34091
Diekmann, O.; Korvasová, K.
1
2013
Equations with infinite delay: blending the abstract and the concrete. Zbl 1237.34133
Diekmann, Odo; Gyllenberg, Mats
42
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.
10
2012
Dynamic concurrent partnership networks incorporating demography. Zbl 1338.91116
Leung, K. Y.; Kretzschmar, M. E. E.; Diekmann, O.
6
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.
44
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.
94
2009
On the cyclic replicator equation and the dynamics of semelparous populations. Zbl 1179.34044
Diekmann, O.; van Gils, S. A.
12
2009
Abstract delay equations inspired by population dynamics. Zbl 1167.47058
Diekmann, Odo; Gyllenberg, Mats
23
2008
Superinfections can induce evolutionarily stable coexistence of pathogens. Zbl 1141.92028
Boldin, Barbara; Diekmann, Odo
21
2008
Carrying simplices in discrete competitive systems and age-structured semelparous populations. Zbl 1138.92031
Diekmann, Odo; Wang, Yi; Yan, Ping
18
2008
The second half – with a quarter of a century delay. Zbl 1337.92173
Diekmann, O.; Gyllenberg, M.
3
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
67
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
89
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.
14
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
89
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.
70
2003
Year class coexistence or competitive exclusion for strict biennials? Zbl 1019.92024
Davydova, N. V.; Diekmann, O.; van Gils, S. A.
27
2003
Interspecific influence on mobility and Turing instability. Zbl 1334.92341
Huang, Yunxin; Diekmann, Odo
23
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.
94
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.
15
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.
28
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.
679
1999
Modeling and analysing physiologically structured populations. Zbl 1002.92554
Diekmann, Odo
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.
84
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.
35
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
359
1995
How does transmission of infection depend on population size? Zbl 0850.92042
de Jong, Mart C. M.; Diekmann, Odo; Heesterbeek, Hans
64
1995
The legacy of Kermack and McKendrick. Zbl 0839.92018
Diekmann, Odo; Heesterbeek, Hans; Metz, Hans
24
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.
15
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.
13
1993
The “cumulative” formulation of (physiologically) structured population models. Zbl 0795.92021
Diekmann, O.; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst
11
1993
Patterns in the effects of infectious diseases on population growth. Zbl 0732.92024
Diekmann, O.; Kretzschmar, M.
44
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.
11
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.
1990
The velocity of spatial population expansion. Zbl 0732.92026
van den Bosch, F.; Metz, J. A. J.; Diekmann, O.
37
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.
5
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
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.
19
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.
33
1987
Perturbed dual semigroups and delay equations. Zbl 0632.34067
Diekmann, Odo
1
1987
The dynamics of physiologically structured populations. Zbl 0614.92014
375
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.
38
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 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
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.
96
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
...and 12 more Documents
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Cited by 4,393 Authors

58 Diekmann, Odo
46 Wu, Jianhong
44 Gyllenberg, Mats
40 Thieme, Horst R.
38 Gumel, Abba B.
37 Ruan, Shigui
36 van den Driessche, Pauline
35 Kuniya, Toshikazu
35 Zhao, Xiao-Qiang
31 Perthame, Benoît
30 Zou, Xingfu
28 Teng, Zhi-dong
26 Feng, Zhilan
26 Wang, Jinliang
26 Wang, Wendi
25 Metz, Johan A. Jacob
24 Jin, Zhen
24 Li, Wan-Tong
24 Webb, Glenn Francis
23 Breda, Dimitri
22 Xiao, Yanni
20 Pugliese, Andrea
20 Walther, Hans-Otto
20 Zhang, Tailei
19 Magal, Pierre
18 Khachatryan, Khachatur Aghavardovich
18 Lou, Yuan
18 Sun, Guiquan
17 Calsina, Àngel
17 Castillo-Chavez, Carlos
17 Inaba, Hisashi
16 Cushing, Jim M.
16 Trapman, Pieter
16 Vermiglio, Rossana
15 Allen, Linda J. S.
15 Ball, Frank G.
15 Britton, Tom
15 Chen, Yuming
15 Ducrot, Arnaud
15 Farkas, József Zoltán
15 Lin, Guo
15 Martcheva, Maia
15 Mirrahimi, Sepideh
15 Rezunenko, Oleksandr V”yacheslavovych
15 Roberts, Michael George
15 Tchuenche, Jean Michel
14 Bacaër, Nicolas
14 Gao, Daozhou
14 Geritz, Stefan A. H.
14 Greenhalgh, David
14 Lewis, Mark Alun
14 Liu, Xianning
14 Ma, Wanbiao
14 Wang, Feng-Bin
14 Weng, Peixuan
14 Yuan, Rong
13 Chattopadhyay, Joydev
13 Chen, Lansun
13 de Roos, André M.
13 Jiang, Jifa
13 Kiss, István Z.
13 Kretzschmar, Mirjam
13 Lam, King-Yeung
13 Li, Michael Yi
13 Lutscher, Frithjof
13 Moghadas, Seyed M.
13 Mukandavire, Zindoga
13 Röst, Gergely
13 Trofimchuk, Sergei I.
13 Wang, Wei
13 Yang, Junyuan
13 Zhu, Huaiping
12 Garira, Winston S.
12 Getto, Philipp
12 Hadeler, Karl-Peter
12 Li, Bingtuan
12 Nakata, Yukihiko
12 Ou, Chunhua
12 Samanta, Guru Prasad
12 Shuai, Zhisheng
12 Verduyn Lunel, Sjoerd M.
11 Agusto, Folashade B.
11 Cai, Yongli
11 Chowell, Gerardo
11 Kang, Yun
11 Kumar Upadhyay, Ranjit
11 Li, Jia
11 Lou, Yijun
11 Niu, Lei
11 Wang, Jin
11 Wang, Weiming
11 Wang, Xueying
11 Wang, Zhi Cheng
11 Zhou, Yicang
10 Arino, Ovide
10 Brauer, Fred
10 Dietz, Klaus
10 Fu, Xianlong
10 Gabriel, Pierre
10 Heesterbeek, J. A. P.
...and 4,293 more Authors
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Cited in 344 Serials

305 Journal of Mathematical Biology
287 Mathematical Biosciences
187 Journal of Theoretical Biology
175 Bulletin of Mathematical Biology
142 Journal of Differential Equations
107 Journal of Mathematical Analysis and Applications
98 Applied Mathematics and Computation
96 Theoretical Population Biology
95 Mathematical Biosciences and Engineering
94 Discrete and Continuous Dynamical Systems. Series B
89 Nonlinear Analysis. Real World Applications
89 Journal of Biological Dynamics
63 Chaos, Solitons and Fractals
63 Journal of Dynamics and Differential Equations
45 Mathematical and Computer Modelling
44 Journal of Computational and Applied Mathematics
43 International Journal of Biomathematics
37 Journal of Biological Systems
34 SIAM Journal on Applied Mathematics
32 Applied Mathematical Modelling
32 Advances in Difference Equations
32 Mathematical Modelling of Natural Phenomena
30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
30 Communications in Nonlinear Science and Numerical Simulation
29 Computers & Mathematics with Applications
29 Physica A
29 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
27 Mathematical Methods in the Applied Sciences
25 Mathematical Population Studies
22 Acta Applicandae Mathematicae
22 Discrete and Continuous Dynamical Systems
21 Abstract and Applied Analysis
20 Physica D
20 Journal of Applied Mathematics and Computing
19 Applicable Analysis
19 Applied Mathematics Letters
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
19 Communications on Pure and Applied Analysis
19 Computational & Mathematical Methods in Medicine
18 Mathematics and Computers in Simulation
18 Journal of Difference Equations and Applications
18 Discrete Dynamics in Nature and Society
17 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 SIAM Journal on Mathematical Analysis
15 Proceedings of the American Mathematical Society
15 Chaos
14 Complexity
14 Differential Equations and Dynamical Systems
14 The ANZIAM Journal
14 SIAM Journal on Applied Dynamical Systems
13 Ricerche di Matematica
13 Journal of Applied Mathematics
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Rocky Mountain Journal of Mathematics
11 Transactions of the American Mathematical Society
11 Journal of Nonlinear Science
11 Journal of Mathematical Sciences (New York)
11 Discrete and Continuous Dynamical Systems. Series S
11 Journal of Applied Analysis and Computation
10 Nonlinear Dynamics
9 Nonlinearity
9 Japan Journal of Industrial and Applied Mathematics
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 International Journal of Applied and Computational Mathematics
8 International Journal of Mathematics and Mathematical Sciences
8 Applied Numerical Mathematics
8 European Journal of Applied Mathematics
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Nonlinear Analysis. Modelling and Control
7 Journal of the Franklin Institute
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7 Acta Mathematicae Applicatae Sinica. English Series
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7 Journal of Evolution Equations
7 International Journal of Differential Equations
6 Journal of Functional Analysis
6 Linear Algebra and its Applications
6 Proceedings of the National Academy of Sciences of the United States of America
6 Calculus of Variations and Partial Differential Equations
6 Computational and Applied Mathematics
6 Natural Resource Modeling
6 ISRN Biomathematics
5 Advances in Applied Probability
5 Journal of Statistical Physics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Numerische Mathematik
5 The Annals of Applied Probability
5 European Journal of Operational Research
5 Applied Mathematics. Series B (English Edition)
5 Nonautonomous Dynamical Systems
5 Nonlinear Analysis. Theory, Methods & Applications
5 Computational and Mathematical Biophysics
4 Physics Reports
4 Journal of Applied Probability
4 Journal of Optimization Theory and Applications
4 Mathematische Annalen
4 Stochastic Analysis and Applications
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Numerical Methods for Partial Differential Equations
4 Journal of the Egyptian Mathematical Society
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Cited in 48 Fields

2,892 Biology and other natural sciences (92-XX)
1,170 Ordinary differential equations (34-XX)
843 Partial differential equations (35-XX)
492 Dynamical systems and ergodic theory (37-XX)
268 Numerical analysis (65-XX)
257 Integral equations (45-XX)
238 Probability theory and stochastic processes (60-XX)
185 Operator theory (47-XX)
147 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
143 Systems theory; control (93-XX)
102 Calculus of variations and optimal control; optimization (49-XX)
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7 Mechanics of deformable solids (74-XX)
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