Hethcote, Herbert W.

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 Author ID: hethcote.herbert-w Published as: Hethcote, Herbert W.; Hethcote, H. W.; Hethcote, Herbert; Hethcote, H. more...less
 Documents Indexed: 54 Publications since 1970, including 2 Books Co-Authors: 36 Co-Authors with 35 Joint Publications 1,285 Co-Co-Authors
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Co-Authors

 19 single-authored 8 van den Driessche, Pauline 4 Castillo-Chavez, Carlos 4 Li, Yi 3 Gao, Linda Q. 3 Levin, Simon Asher 3 Liu, Wei-min 3 Mena-Lorca, Jaime 3 Stech, Harlan W. 2 Andreasen, Viggo 2 Del Valle, Sara Y. 2 Hyman, James M. 2 van Ark, James W. 2 Wang, Wendi 2 Yorke, James Alan 1 Becker, Niels G. 1 Chowell, Gerardo 1 Cintrón-Arias, Ariel 1 Gao, Linda 1 Han, Litao 1 Jing, Zhujun 1 Lewis, Mark Alun 1 Li, Tong 1 Lin, Xiaodong 1 Ma, Zhien 1 Nold, Annett 1 Rouderfer, Vladimir 1 Saenz, Roberto A. 1 Sánchez, Fabio 1 Schuette, Matthew C. 1 Shengbing, Liao 1 Song, Baojun 1 Thieme, Horst R. 1 Tudor, David W. 1 Waltman, Paul Elvis 1 Zhien, Ma 1 Zhou, Jinshi
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Serials

 15 Mathematical Biosciences 12 Journal of Mathematical Biology 3 Mathematical and Computer Modelling 2 Bulletin of Mathematical Biology 2 SIAM Review 2 Lecture Notes in Biomathematics 1 International Journal of Mathematical Education in Science and Technology 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Proceedings of the American Mathematical Society 1 Theoretical Population Biology 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The Canadian Applied Mathematics Quarterly 1 Mathematical Biosciences and Engineering
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Fields

 50 Biology and other natural sciences (92-XX) 18 Ordinary differential equations (34-XX) 7 Integral equations (45-XX) 6 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Systems theory; control (93-XX)

Citations contained in zbMATH Open

53 Publications have been cited 3,716 times in 2,585 Documents Cited by Year
The mathematics of infectious diseases. Zbl 0993.92033
Hethcote, Herbert W.
2000
Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014
Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A.
1987
Qualitative analyses of communicable disease models. Zbl 0326.92017
Hethcote, Herbert W.
1976
Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
Mena-Lorca, Jaime; Hethcote, Herbert W.
1992
Some epidemiological models with nonlinear incidence. Zbl 0722.92015
Hethcote, H. W.; van den Driessche, P.
1991
Gonorrhea. Transmission dynamics and control. Zbl 0542.92026
Hethcote, Herbert W.; Yorke, James A.
1984
Effects of quarantine in six endemic models for infectious diseases. Zbl 1019.92030
Hethcote, Herbert; Zhien, Ma; Shengbing, Liao
2002
Epidemiological models with age structure, proportionate mixing, and cross-immunity. Zbl 0715.92028
Castillo-Chavez, C.; Hethcote, H. W.; Andreasen, V.; Levin, S. A.; Liu, W. M.
1989
Disease transmission models with density-dependent demographics. Zbl 0774.92018
Gao, Linda Q.; Hethcote, Herbert W.
1992
Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs. Zbl 0619.92006
Hethcote, Herbert W.; van Ark, James W.
1987
Nonlinear oscillations in epidemic models. Zbl 0469.92012
Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P.
1981
An immunization model for a heterogeneous population. Zbl 0392.92009
Hethcote, Herbert W.
1978
Stability of the endemic equilibrium in epidemic models with subpopulations. Zbl 0582.92024
Hethcote, Herbert W.; Thieme, Horst R.
1985
Population size dependent incidence in models for diseases without immunity. Zbl 0823.92027
Zhou, Jinshi; Hethcote, Herbert W.
1994
Four predator prey models with infectious diseases. Zbl 0999.92032
Han, Litao; Ma, Zhien; Hethcote, H. W.
2001
An SIS epidemic model with variable population size and a delay. Zbl 0836.92022
Hethcote, Herbert W.; van den Driessche, P.
1995
A thousand and one epidemic models. Zbl 0819.92020
Hethcote, Herbert W.
1994
Integral equation models for endemic infectious diseases. Zbl 0433.92026
Hethcote, Herbert W.; Tudor, David W.
1980
Two SIS epidemiologic models with delays. Zbl 0959.92025
Hethcote, Herbert W.; van den Driessche, P.
2000
An epidemiological model with a delay and a nonlinear incidence rate. Zbl 0714.92021
Hethcote, H. W.; Lewis, M. A.; van den Driessche, P.
1989
Modeling HIV transmission and AIDS in the United States. Zbl 0805.92026
Hethcote, Herbert W.; Van Ark, James W.
1992
Effects of behavioral changes in a smallpox attack model. Zbl 1065.92039
Del Valle, S.; Hethcote, H.; Hyman, J. M.; Castillo-Chavez, C.
2005
Optimal ages of vaccination for measles. Zbl 0643.92014
Hethcote, Herbert W.
1988
Asymptotic behavior in a deterministic epidemic model. Zbl 0279.92011
Hethcote, Herbert W.
1973
Periodicity and stability in epidemic models: a survey. Zbl 0477.92014
Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P.
1981
Stability analysis for models of diseases without immunity. Zbl 0475.92014
Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P.
1981
Error bounds for asymptotic approximations of zeros of transcendental functions. Zbl 0199.49902
Hethcote, H. W.
1970
Four SEI endemic models with periodicity and separatrices. Zbl 0834.92021
Gao, Linda Q.; Mena-Lorca, Jaime; Hethcote, Herbert W.
1995
An epidemiological model for HIV/AIDS with proportional recruitment. Zbl 0793.92011
Lin, Xiaodong; Hethcote, Herbert W.; van den Driessche, P.
1993
Optimal vaccination schedules in a deterministic model. Zbl 0266.92011
Hethcote, Herbert W.; Waltman, Paul
1973
Modeling heterogeneous mixing in infectious disease dynamics. Zbl 0884.92025
Hethcote, H. W.
1996
An age-structured model for pertussis transmission. Zbl 0895.92027
Hethcote, Herbert W.
1997
Waning immunity and its effects on vaccination schedules. Zbl 0804.92012
Rouderfer, Vladimir; Becker, Niels G.; Hethcote, Herbert W.
1994
Bounds for zeros of some special functions. Zbl 0189.34404
Hethcote, H. W.
1970
Gonorrhea modeling: A comparison of control methods. Zbl 0486.92024
Hethcote, Herbert W.; Yorke, James A.; Nold, Annett
1982
Simulations of pertussis epidemiology in the United States: Effects of adult booster vaccinations. Zbl 0934.92032
Hethcote, Herbert W.
1999
Periodic traveling waves in SIRS endemic models. Zbl 1165.35311
Li, Tong; Li, Yi; Hethcote, Herbert W.
2009
Schwarz lemma analogues for harmonic functions. Zbl 0355.31004
Hethcote, Herbert W.
1977
Species coexistence and periodicity in host-host-pathogen models. Zbl 1077.92044
Hethcote, Herbert W.; Wang, Wendi; Li, Yi
2005
Cross-immunity in the dynamics of homogeneous and heterogeneous populations. Zbl 0663.92010
Castillo-Chavez, Carlos; Hethcote, Herbert W.; Andreasen, Viggo; Levin, Simon A.; Liu, Weimin
1988
Simulations of rubella vaccination strategies in China. Zbl 1097.92040
Gao, Linda; Hethcote, Herbert
2006
Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles. Zbl 1323.92211
Schuette, Matthew C.; Hethcote, Herbert W.
1999
Competing species models with an infectious disease. Zbl 1089.92050
Saenz, Roberto A.; Hethcote, Herbert W.
2006
Oscillations in an endemic model for pertussis. Zbl 0919.92032
Hethcote, Herbert W.
1998
Bifurcations in a host-parasite model with nonlinear incidence. Zbl 1140.34361
Wang, Wendi; Li, Yi; Hethcote, H. W.
2006
A model for HIV transmission and AIDS. Zbl 0682.92012
Hethcote, Herbert W.
1989
Hopf bifurcation in models for pertussis epidemiology. Zbl 1043.92525
Hethcote, H. W.; Li, Yi; Jing, Zhujun
1999
Note on determining the limiting susceptible population in an epidemic model. Zbl 0212.52104
Hethcote, H. W.
1970
Variations on a theme of SEI endemic models. Zbl 0920.92026
Gao, Linda Q.; Mena-Lorca, Jaime; Hethcote, Herbert W.
1996
A vaccination model for an endemic disease with maternal antibodies in infants. Zbl 0564.92015
Hethcote, Herbert W.
1985
Geometric existence proofs for non-linear boundary value problems. Zbl 0242.34023
Hethcote, Herbert W.
1972
Mathematical modeling of pertussis epidemiology. Zbl 0886.92025
Hethcote, H. W.
1996
New vaccination strategies for pertussis. Zbl 1021.92021
Hethcote, Herbert W.
2002
Periodic traveling waves in SIRS endemic models. Zbl 1165.35311
Li, Tong; Li, Yi; Hethcote, Herbert W.
2009
Simulations of rubella vaccination strategies in China. Zbl 1097.92040
Gao, Linda; Hethcote, Herbert
2006
Competing species models with an infectious disease. Zbl 1089.92050
Saenz, Roberto A.; Hethcote, Herbert W.
2006
Bifurcations in a host-parasite model with nonlinear incidence. Zbl 1140.34361
Wang, Wendi; Li, Yi; Hethcote, H. W.
2006
Effects of behavioral changes in a smallpox attack model. Zbl 1065.92039
Del Valle, S.; Hethcote, H.; Hyman, J. M.; Castillo-Chavez, C.
2005
Species coexistence and periodicity in host-host-pathogen models. Zbl 1077.92044
Hethcote, Herbert W.; Wang, Wendi; Li, Yi
2005
Effects of quarantine in six endemic models for infectious diseases. Zbl 1019.92030
Hethcote, Herbert; Zhien, Ma; Shengbing, Liao
2002
New vaccination strategies for pertussis. Zbl 1021.92021
Hethcote, Herbert W.
2002
Four predator prey models with infectious diseases. Zbl 0999.92032
Han, Litao; Ma, Zhien; Hethcote, H. W.
2001
The mathematics of infectious diseases. Zbl 0993.92033
Hethcote, Herbert W.
2000
Two SIS epidemiologic models with delays. Zbl 0959.92025
Hethcote, Herbert W.; van den Driessche, P.
2000
Simulations of pertussis epidemiology in the United States: Effects of adult booster vaccinations. Zbl 0934.92032
Hethcote, Herbert W.
1999
Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles. Zbl 1323.92211
Schuette, Matthew C.; Hethcote, Herbert W.
1999
Hopf bifurcation in models for pertussis epidemiology. Zbl 1043.92525
Hethcote, H. W.; Li, Yi; Jing, Zhujun
1999
Oscillations in an endemic model for pertussis. Zbl 0919.92032
Hethcote, Herbert W.
1998
An age-structured model for pertussis transmission. Zbl 0895.92027
Hethcote, Herbert W.
1997
Modeling heterogeneous mixing in infectious disease dynamics. Zbl 0884.92025
Hethcote, H. W.
1996
Variations on a theme of SEI endemic models. Zbl 0920.92026
Gao, Linda Q.; Mena-Lorca, Jaime; Hethcote, Herbert W.
1996
Mathematical modeling of pertussis epidemiology. Zbl 0886.92025
Hethcote, H. W.
1996
An SIS epidemic model with variable population size and a delay. Zbl 0836.92022
Hethcote, Herbert W.; van den Driessche, P.
1995
Four SEI endemic models with periodicity and separatrices. Zbl 0834.92021
Gao, Linda Q.; Mena-Lorca, Jaime; Hethcote, Herbert W.
1995
Population size dependent incidence in models for diseases without immunity. Zbl 0823.92027
Zhou, Jinshi; Hethcote, Herbert W.
1994
A thousand and one epidemic models. Zbl 0819.92020
Hethcote, Herbert W.
1994
Waning immunity and its effects on vaccination schedules. Zbl 0804.92012
Rouderfer, Vladimir; Becker, Niels G.; Hethcote, Herbert W.
1994
An epidemiological model for HIV/AIDS with proportional recruitment. Zbl 0793.92011
Lin, Xiaodong; Hethcote, Herbert W.; van den Driessche, P.
1993
Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
Mena-Lorca, Jaime; Hethcote, Herbert W.
1992
Disease transmission models with density-dependent demographics. Zbl 0774.92018
Gao, Linda Q.; Hethcote, Herbert W.
1992
Modeling HIV transmission and AIDS in the United States. Zbl 0805.92026
Hethcote, Herbert W.; Van Ark, James W.
1992
Some epidemiological models with nonlinear incidence. Zbl 0722.92015
Hethcote, H. W.; van den Driessche, P.
1991
Epidemiological models with age structure, proportionate mixing, and cross-immunity. Zbl 0715.92028
Castillo-Chavez, C.; Hethcote, H. W.; Andreasen, V.; Levin, S. A.; Liu, W. M.
1989
An epidemiological model with a delay and a nonlinear incidence rate. Zbl 0714.92021
Hethcote, H. W.; Lewis, M. A.; van den Driessche, P.
1989
A model for HIV transmission and AIDS. Zbl 0682.92012
Hethcote, Herbert W.
1989
Optimal ages of vaccination for measles. Zbl 0643.92014
Hethcote, Herbert W.
1988
Cross-immunity in the dynamics of homogeneous and heterogeneous populations. Zbl 0663.92010
Castillo-Chavez, Carlos; Hethcote, Herbert W.; Andreasen, Viggo; Levin, Simon A.; Liu, Weimin
1988
Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014
Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A.
1987
Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs. Zbl 0619.92006
Hethcote, Herbert W.; van Ark, James W.
1987
Stability of the endemic equilibrium in epidemic models with subpopulations. Zbl 0582.92024
Hethcote, Herbert W.; Thieme, Horst R.
1985
A vaccination model for an endemic disease with maternal antibodies in infants. Zbl 0564.92015
Hethcote, Herbert W.
1985
Gonorrhea. Transmission dynamics and control. Zbl 0542.92026
Hethcote, Herbert W.; Yorke, James A.
1984
Gonorrhea modeling: A comparison of control methods. Zbl 0486.92024
Hethcote, Herbert W.; Yorke, James A.; Nold, Annett
1982
Nonlinear oscillations in epidemic models. Zbl 0469.92012
Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P.
1981
Periodicity and stability in epidemic models: a survey. Zbl 0477.92014
Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P.
1981
Stability analysis for models of diseases without immunity. Zbl 0475.92014
Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P.
1981
Integral equation models for endemic infectious diseases. Zbl 0433.92026
Hethcote, Herbert W.; Tudor, David W.
1980
An immunization model for a heterogeneous population. Zbl 0392.92009
Hethcote, Herbert W.
1978
Schwarz lemma analogues for harmonic functions. Zbl 0355.31004
Hethcote, Herbert W.
1977
Qualitative analyses of communicable disease models. Zbl 0326.92017
Hethcote, Herbert W.
1976
Asymptotic behavior in a deterministic epidemic model. Zbl 0279.92011
Hethcote, Herbert W.
1973
Optimal vaccination schedules in a deterministic model. Zbl 0266.92011
Hethcote, Herbert W.; Waltman, Paul
1973
Geometric existence proofs for non-linear boundary value problems. Zbl 0242.34023
Hethcote, Herbert W.
1972
Error bounds for asymptotic approximations of zeros of transcendental functions. Zbl 0199.49902
Hethcote, H. W.
1970
Bounds for zeros of some special functions. Zbl 0189.34404
Hethcote, H. W.
1970
Note on determining the limiting susceptible population in an epidemic model. Zbl 0212.52104
Hethcote, H. W.
1970
all top 5

Cited by 3,805 Authors

 252 Mathematical Biosciences 142 Applied Mathematics and Computation 108 Journal of Mathematical Biology 102 Journal of Theoretical Biology 100 Bulletin of Mathematical Biology 82 Nonlinear Analysis. Real World Applications 78 Chaos, Solitons and Fractals 76 Physica A 71 Mathematical Biosciences and Engineering 64 International Journal of Biomathematics 60 Journal of Mathematical Analysis and Applications 59 Discrete and Continuous Dynamical Systems. Series B 57 Journal of Biological Dynamics 55 Advances in Difference Equations 51 Mathematical and Computer Modelling 50 Theoretical Population Biology 50 Applied Mathematical Modelling 37 Journal of Biological Systems 33 Discrete Dynamics in Nature and Society 32 Journal of Applied Mathematics and Computing 29 Mathematical Methods in the Applied Sciences 28 Communications in Nonlinear Science and Numerical Simulation 27 Computers & Mathematics with Applications 27 Abstract and Applied Analysis 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 20 Journal of Computational and Applied Mathematics 20 Journal of Differential Equations 20 Computational & Mathematical Methods in Medicine 19 Mathematical Modelling of Natural Phenomena 18 Mathematics and Computers in Simulation 14 Journal of Dynamics and Differential Equations 14 Journal of Difference Equations and Applications 14 Nonlinear Dynamics 14 Journal of Applied Analysis and Computation 13 Applied Mathematics Letters 13 Differential Equations and Dynamical Systems 13 Journal of Applied Mathematics 12 European Journal of Operational Research 12 Mathematical Problems in Engineering 12 Mathematical Population Studies 12 Chaos 11 Applicable Analysis 11 Physica D 11 International Journal of Computer Mathematics 10 Rocky Mountain Journal of Mathematics 10 Ricerche di Matematica 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 SIAM Journal on Applied Mathematics 10 Computational and Applied Mathematics 9 Journal of the Franklin Institute 9 International Journal of Applied and Computational Mathematics 8 Stochastic Analysis and Applications 8 Complexity 8 Discrete and Continuous Dynamical Systems. Series S 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Computational Mechanics 7 Communications on Pure and Applied Analysis 7 Journal of Applied Nonlinear Dynamics 6 Applied Mathematics and Mechanics. (English Edition) 6 Journal of Systems Science and Complexity 6 Journal of Statistical Mechanics: Theory and Experiment 6 Networks and Heterogeneous Media 5 Acta Applicandae Mathematicae 5 Journal of Integral Equations and Applications 5 Proceedings of the National Academy of Sciences of the United States of America 5 Journal of Nonlinear Science 5 Discrete and Continuous Dynamical Systems 5 Qualitative Theory of Dynamical Systems 5 Nonlinear Analysis. Modelling and Control 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Nonlinear Analysis. Hybrid Systems 5 Mathematics 5 Nonlinear Analysis. Theory, Methods & Applications 5 AIMS Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Automatica 4 Journal of Mathematical Economics 4 SIAM Journal on Control and Optimization 4 Acta Mathematicae Applicatae Sinica. English Series 4 Linear Algebra and its Applications 4 Applied Mathematics. Series B (English Edition) 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of the Egyptian Mathematical Society 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Advances in Complex Systems 4 Results in Applied Mathematics 3 Journal of Computational Physics 3 Journal of Statistical Physics 3 Physics Reports 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Applied Mathematics and Optimization 3 Proceedings of the American Mathematical Society 3 Tamkang Journal of Mathematics 3 Applied Numerical Mathematics 3 Annals of Operations Research 3 Japan Journal of Industrial and Applied Mathematics 3 Computational Mathematics and Mathematical Physics 3 SIAM Journal on Mathematical Analysis 3 Fractals 3 Economic Theory ...and 191 more Serials