## Heesterbeek, J. A. P.

Compute Distance To:
 Author ID: heesterbeek.j-a-p Published as: Heesterbeek, J. A. P.
 Documents Indexed: 26 Publications since 1989, including 1 Book Co-Authors: 20 Co-Authors with 26 Joint Publications 703 Co-Co-Authors
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### Co-Authors

 0 single-authored 7 Roberts, Michael George 5 Diekmann, Odo 5 Metz, Johan A. Jacob 4 Dietz, Klaus 2 Schellinx, H. A. J. M. 2 Shuai, Zhisheng 2 van den Driessche, Pauline 1 Adan, Ivo J. B. F. 1 Barbour, Andrew David 1 de Jong, Mart C. M. 1 Ezanno, Pauline 1 Fulford, Glenn Robert 1 Halachmi, Ilan 1 Jesse, Marieke 1 Luchsinger, Christopher James 1 Thieme, Horst R. 1 Tudor, David W. 1 van der Wal, Jan 1 van Neerven, Jan M. A. M. 1 Zwaan, M.
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### Serials

 8 Journal of Mathematical Biology 6 Mathematical Biosciences 3 CWI Quarterly 1 Statistica Neerlandica 1 Theoretical Population Biology 1 The Annals of Applied Probability 1 European Journal of Operational Research 1 The Canadian Applied Mathematics Quarterly 1 Journal of Theoretical Biology
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### Fields

 23 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

22 Publications have been cited 2,285 times in 1,947 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.
1999
The type-reproduction number $$T$$ in models for infectious disease control. Zbl 1124.92043
Heesterbeek, J. A. P.; Roberts, M. G.
2007
The concept of $$R_ 0$$ in epidemic theory. Zbl 0854.92018
Heesterbeek, J. A. P.; Dietz, K.
1996
The saturating contact rate in marriage- and epidemic models. Zbl 0770.92021
Heesterbeek, J. A. P.; Metz, J. A. J.
1993
Daniel Bernoulli’s epidemiological model revisited. Zbl 1019.92028
Dietz, Klaus; Heesterbeek, J. A. P.
2002
Extending the type reproduction number to infectious disease control targeting contacts between types. Zbl 1278.92031
Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P.
2013
The metapopulation dynamics of an infectious disease: Tuberculosis in possums. Zbl 1038.92034
Fulford, G. R.; Roberts, M. G.; Heesterbeek, J. A. P.
2002
The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations. Zbl 0748.92010
Diekmann, O.; Dietz, K.; Heesterbeek, J. A. P.
1991
Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection. Zbl 1145.92337
Roberts, M. G.; Heesterbeek, J. A. P.
2007
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.
1994
The basic reproduction ratio for sexually transmitted diseases. II: Effects of variable HIV infectivity. Zbl 0805.92024
Dietz, K.; Heesterbeek, J. A. P.; Tudor, D. W.
1993
Threshold quantities for helminth infections. Zbl 0822.92018
Heesterbeek, J. A. P.; Roberts, M. G.
1995
Erratum to: “Extending the type reproduction number to infectious disease control targeting contacts between types”. Zbl 1312.92030
Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P.
2015
A singular perturbation theorem for evolution equations and time-scale arguments for structured population models. Zbl 0828.60069
Greiner, G.; Heesterbeek, J. A. P.; Metz, J. A. J.
1994
Mathematical models for microparasites of wildlife. Zbl 0841.92025
Heesterbeek, J. A. P.; Roberts, M. G.
1995
Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology. Zbl 1258.92044
Roberts, M. G.; Heesterbeek, J. A. P.
2013
A fully coupled, mechanistic model for infectious disease dynamics in a metapopulation: movement and epidemic duration. Zbl 1400.92501
Jesse, M.; Ezanno, P.; Davis, S.; Heesterbeek, J. A. P.
2008
A simple parasite model with complicated dynamics. Zbl 0903.92025
Roberts, M. G.; Heesterbeek, J. A. P.
1998
The design of robotic dairy barns using closed queueing networks. Zbl 0969.90016
Halachmi, I.; Adan, I. J. B. F.; van der Wal, J.; Heesterbeek, J. A. P.; van Beek, P.
2000
Thresholds and initial growth rates in a model of parasitic infection. Zbl 0871.92024
Barbour, A. D.; Heesterbeek, J. A. P.; Luchsinger, C. J.
1996
How to estimate the efficacy of periodic control of an infectious plant disease. Zbl 0686.92017
Thieme, Horst R.; Heesterbeek, J. A. P.
1989
Erratum to: “Extending the type reproduction number to infectious disease control targeting contacts between types”. Zbl 1312.92030
Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P.
2015
Extending the type reproduction number to infectious disease control targeting contacts between types. Zbl 1278.92031
Shuai, Zhisheng; Heesterbeek, J. A. P.; van den Driessche, P.
2013
Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology. Zbl 1258.92044
Roberts, M. G.; Heesterbeek, J. A. P.
2013
A fully coupled, mechanistic model for infectious disease dynamics in a metapopulation: movement and epidemic duration. Zbl 1400.92501
Jesse, M.; Ezanno, P.; Davis, S.; Heesterbeek, J. A. P.
2008
The type-reproduction number $$T$$ in models for infectious disease control. Zbl 1124.92043
Heesterbeek, J. A. P.; Roberts, M. G.
2007
Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection. Zbl 1145.92337
Roberts, M. G.; Heesterbeek, J. A. P.
2007
Daniel Bernoulli’s epidemiological model revisited. Zbl 1019.92028
Dietz, Klaus; Heesterbeek, J. A. P.
2002
The metapopulation dynamics of an infectious disease: Tuberculosis in possums. Zbl 1038.92034
Fulford, G. R.; Roberts, M. G.; Heesterbeek, J. A. P.
2002
The design of robotic dairy barns using closed queueing networks. Zbl 0969.90016
Halachmi, I.; Adan, I. J. B. F.; van der Wal, J.; Heesterbeek, J. A. P.; van Beek, P.
2000
Mathematical epidemiology of infectious diseases. Model building, analysis and interpretation. Zbl 0997.92505
Diekmann, O.; Heesterbeek, J. A. P.
1999
A simple parasite model with complicated dynamics. Zbl 0903.92025
Roberts, M. G.; Heesterbeek, J. A. P.
1998
The concept of $$R_ 0$$ in epidemic theory. Zbl 0854.92018
Heesterbeek, J. A. P.; Dietz, K.
1996
Thresholds and initial growth rates in a model of parasitic infection. Zbl 0871.92024
Barbour, A. D.; Heesterbeek, J. A. P.; Luchsinger, C. J.
1996
Threshold quantities for helminth infections. Zbl 0822.92018
Heesterbeek, J. A. P.; Roberts, M. G.
1995
Mathematical models for microparasites of wildlife. Zbl 0841.92025
Heesterbeek, J. A. P.; Roberts, M. G.
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.
1994
A singular perturbation theorem for evolution equations and time-scale arguments for structured population models. Zbl 0828.60069
Greiner, G.; Heesterbeek, J. A. P.; Metz, J. A. J.
1994
The saturating contact rate in marriage- and epidemic models. Zbl 0770.92021
Heesterbeek, J. A. P.; Metz, J. A. J.
1993
The basic reproduction ratio for sexually transmitted diseases. II: Effects of variable HIV infectivity. Zbl 0805.92024
Dietz, K.; Heesterbeek, J. A. P.; Tudor, D. W.
1993
The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations. Zbl 0748.92010
Diekmann, O.; Dietz, K.; Heesterbeek, J. A. P.
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
How to estimate the efficacy of periodic control of an infectious plant disease. Zbl 0686.92017
Thieme, Horst R.; Heesterbeek, J. A. P.
1989
all top 5

### Cited by 2,859 Authors

 41 van den Driessche, Pauline 37 Gumel, Abba B. 36 Kuniya, Toshikazu 30 Teng, Zhi-dong 28 Jin, Zhen 26 Wang, Jinliang 24 Ruan, Shigui 23 Wu, Jianhong 22 Sun, Guiquan 22 Zhang, Tailei 21 Ball, Frank G. 21 Xiao, Yanni 19 Zhao, Xiao-Qiang 18 Allen, Linda J. S. 17 Feng, Zhilan 17 Wang, Wendi 15 Pugliese, Andrea 15 Shuai, Zhisheng 15 Tchuenche, Jean Michel 15 Thieme, Horst R. 15 Zhu, Huaiping 14 Castillo-Chavez, Carlos 14 Greenhalgh, David 14 Liu, Xianning 14 Wang, Wei 13 Bacaër, Nicolas 13 Gao, Daozhou 13 Inaba, Hisashi 13 Ma, Wanbiao 13 Mukandavire, Zindoga 13 Wang, Jin 13 Wang, Xueying 13 Yang, Junyuan 13 Zou, Xingfu 12 Britton, Tom 12 Cai, Yongli 12 Garira, Winston S. 12 Li, Michael Yi 12 Li, Xuezhi 12 Magal, Pierre 12 Martcheva, Maia 12 Qiu, Zhipeng 12 Roberts, Michael George 12 Samanta, Guru Prasad 11 Agusto, Folashade B. 11 Chowell, Gerardo 11 Heesterbeek, J. A. P. 11 Kiss, István Z. 11 Metz, Johan A. Jacob 11 Moghadas, Seyed M. 11 Tang, Sanyi 11 Trapman, Pieter 11 Wang, Feng-Bin 11 Wang, Weiming 10 Dietz, Klaus 10 Hyman, James M. 10 Lenhart, Suzanne M. 10 Liu, Junli 10 Ma, Junling 10 Nyabadza, Farai 10 Sallet, Gauthier 10 Zhou, Yicang 9 Chiyaka, Christinah 9 Diekmann, Odo 9 Esteva, Lourdes 9 Gyllenberg, Mats 9 Liu, Shengqiang 9 Shah, Nita H. 9 Vaidya, Naveen K. 9 Wang, Xiunan 8 Bichara, Derdei Mahamat 8 Brauer, Fred 8 Cai, Liming 8 Chattopadhyay, Joydev 8 Chirove, Faraimunashe 8 Hove-Musekwa, Senelani Dorothy 8 Kribs, Christopher M. 8 Kumar Upadhyay, Ranjit 8 Li, Jia 8 Safi, Mohammad A. 8 Soewono, Edy 8 Xue, Ling 7 Bowers, Roger G. 7 Bowong, Samuel 7 Buonomo, Bruno 7 Chekroun, Abdennasser 7 Cui, Jingan 7 Cui, Renhao 7 Demasse, Ramses Djidjou 7 El Fatini, Mohamed 7 Elmojtaba, Ibrahim M. 7 Feng, Xiaomei 7 Fu, Xinchu 7 Gao, Shujing 7 Kang, Yun 7 Kretzschmar, Mirjam 7 Li, Jianquan 7 Li, Mingtao 7 Lou, Yijun 7 Nakata, Yukihiko ...and 2,759 more Authors
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### Cited in 204 Serials

 210 Mathematical Biosciences 133 Journal of Mathematical Biology 133 Journal of Theoretical Biology 123 Bulletin of Mathematical Biology 89 Mathematical Biosciences and Engineering 74 Applied Mathematics and Computation 69 Journal of Biological Dynamics 57 Chaos, Solitons and Fractals 52 Theoretical Population Biology 49 Nonlinear Analysis. Real World Applications 49 Discrete and Continuous Dynamical Systems. Series B 44 Physica A 41 Journal of Mathematical Analysis and Applications 41 International Journal of Biomathematics 34 Journal of Biological Systems 29 Advances in Difference Equations 26 Applied Mathematical Modelling 25 Mathematical and Computer Modelling 23 Mathematical Modelling of Natural Phenomena 20 Mathematical Population Studies 20 Computational & Mathematical Methods in Medicine 18 Computers & Mathematics with Applications 18 Mathematical Methods in the Applied Sciences 18 SIAM Journal on Applied Mathematics 18 Communications in Nonlinear Science and Numerical Simulation 16 Journal of Differential Equations 15 Abstract and Applied Analysis 13 Journal of Computational and Applied Mathematics 13 Mathematics and Computers in Simulation 12 Journal of Applied Mathematics and Computing 11 Journal of Dynamics and Differential Equations 11 Journal of Applied Analysis and Computation 10 Discrete Dynamics in Nature and Society 9 Ricerche di Matematica 9 Applied Mathematics Letters 9 Complexity 9 Differential Equations and Dynamical Systems 9 Chaos 9 Journal of Applied Mathematics 9 International Journal of Applied and Computational Mathematics 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 European Journal of Operational Research 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 The ANZIAM Journal 7 Applicable Analysis 7 International Journal of Mathematics and Mathematical Sciences 7 Nonlinear Analysis. Modelling and Control 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Stochastic Analysis and Applications 6 Journal of Difference Equations and Applications 6 ISRN Biomathematics 5 Advances in Applied Probability 5 Journal of the Franklin Institute 5 Acta Applicandae Mathematicae 5 Linear Algebra and its Applications 5 Computational and Applied Mathematics 5 International Journal of Differential Equations 5 Computational and Mathematical Biophysics 4 Rocky Mountain Journal of Mathematics 4 Japan Journal of Industrial and Applied Mathematics 4 Journal of the Egyptian Mathematical Society 4 SIAM Journal on Applied Dynamical Systems 4 ISRN Applied Mathematics 4 Journal of Applied Nonlinear Dynamics 4 Nonautonomous Dynamical Systems 3 Physics Reports 3 Journal of the Nigerian Mathematical Society 3 Physica D 3 The Annals of Applied Probability 3 Proceedings of the National Academy of Sciences of the United States of America 3 Stochastic Processes and their Applications 3 Discrete and Continuous Dynamical Systems 3 Dynamical Systems 3 Communications on Pure and Applied Analysis 3 Afrika Matematika 3 Mathematics 3 AIMS Mathematics 2 International Journal of Modern Physics B 2 International Journal of Systems Science 2 Physics Letters. A 2 Biometrical Journal 2 Demonstratio Mathematica 2 Information Sciences 2 Journal of Mathematical Psychology 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Tamkang Journal of Mathematics 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematicae Applicatae Sinica. English Series 2 Computational Mechanics 2 Annals of Operations Research 2 International Journal of Computer Mathematics 2 Journal of Nonlinear Science 2 Applied Mathematics. Series B (English Edition) 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Problems in Engineering 2 Nonlinear Dynamics 2 Journal of Inequalities and Applications 2 International Journal of Applied Mathematics and Computer Science 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 104 more Serials
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### Cited in 28 Fields

 1,835 Biology and other natural sciences (92-XX) 682 Ordinary differential equations (34-XX) 261 Dynamical systems and ergodic theory (37-XX) 254 Partial differential equations (35-XX) 151 Probability theory and stochastic processes (60-XX) 105 Numerical analysis (65-XX) 90 Systems theory; control (93-XX) 89 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 71 Calculus of variations and optimal control; optimization (49-XX) 58 Statistics (62-XX) 48 Statistical mechanics, structure of matter (82-XX) 39 Combinatorics (05-XX) 29 Operator theory (47-XX) 27 Integral equations (45-XX) 25 Operations research, mathematical programming (90-XX) 23 Difference and functional equations (39-XX) 20 Computer science (68-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 12 Real functions (26-XX) 7 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Mathematics education (97-XX)