Click on the symbols ³ to open a PDF file to view the entire paper:
³ (S. Del Valle, J.M. Hyman, H.W. Hethcote, and S.G. Eubank) Mixing patterns between age groups in social networks, Social Networks 29 (2007) 539-554.
³ (W. Wang, Y. Li and H.W. Hethcote) Dynamics in a host-parasite model with nonlinear incidence, International Journal of Bifurcation and Chaos 16-11 (2006) 3291-3307.
³ (G. Chowell, A. Cintron-Arias, S. Del Valle, F. Sanchez, B. Song, J.M. Hyman, H.W. Hethcote, C. Castillo-Chavez) Mathematical applications associated with the deliberate release of infectious agents, in Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges, A. Gumel, C. Castillo-Chavez, R.E. Mickens, and D.P. Clemence (eds.), Volume 410 in Contemporary Mathematics Series, American Mathematical Society, 2006, 51-71.
³ (R.A. Saenz, H.W. Hethcote, and G.C. Gray), Confined animal feeding operations as amplifiers of influenza, Vector-Borne and Zoonotic Diseases 6 (2006) 338-346.
³ (L.Q.
Gao and H.W. Hethcote)
Simulations of rubella vaccination strategies in
³ (R.A. Saenz and H.W. Hethcote) Competing species models with an infectious disease, Mathematical Biosciences and Engineering 3 (2006) 219-235.
³ (H.W. Hethcote, W. Wang, and Y. Li) Species coexistence and periodicity in host-host-pathogen models, J Math Biology 51 (2005) 629-660.
³ (S. Del Valle, H.W. Hethcote, J.M. Hyman, and C. Castillo-Chavez) Effects of Behavioral Changes in a Smallpox Attack Model, Mathematical Biosciences 195 (2005) 228-251.
³ (H.W. Hethcote, W. Wang, L. Han, and Z. Ma) A Predator Prey Model with Infected Prey, Theoretical Population Biology 66 (2004) 259-268.
³ (A. Van Rie and H.W. Hethcote) Adolescent and adult pertussis vaccination: computer simulations of five new strategies, Vaccine 22 (2004) 3154-3165.
³ (H.W. Hethcote, P. Horby, and P. McIntyre) Using computer simulations to compare pertussis vaccination strategies in Australia, Vaccine 22 (2004) 2181-2191.
³ (H.W. Hethcote, Zhien Ma, and Shengbing Liao) Effects of Quarantine in Six Endemic Models for Infectious Diseases, Mathematical Biosciences 180 (2002) 141-160.
³ New vaccination strategies for pertussis, in Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, C. Castillo-Chavez, S. Blower, P. van den Driessche, and D. Kirschner (eds.), Volume 125 IMA Series on Mathematics and Its Applications, Springer-Verlag, New York, 2001, 97-118.
³ (L. T. Han, Z. Ma, and H.W. Hethcote) Four Predator Prey Models with Infectious Diseases, Mathematical and Computer Modelling 34 (2001) 849-858.
³ The mathematics of infectious diseases, SIAM Review 42 (2000) 599-653. (54 page invited review paper in the primary journal of the Society for Industrial and Applied Mathematics)
³ (H.W. Hethcote and P. van den Driessche) Two SIS epidemiologic models with delays, J. Math. Biol. 40 (2000) 3-26.
³ (H.W. Hethcote, Yi Li, and Zhujun Jing) Hopf bifurcation in models for pertussis epidemiology, Math. Comp. Modelling 30 (1999) 29-45.
³ (M.C. Schuette and H.W. Hethcote) Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles, Bull. Math. Biol. 61 (1999) 1031-1064
³ Simulations of pertussis epidemiology in the United States: Effects of adult booster doses, Math. Biosci. 158 (1999) 47-73.
³ Oscillations in an endemic model for pertussis, Canad. Appl. Math. Quart., 6 (1998) 61-88.
³ An age-structured model for pertussis transmission, Math. Biosci. 145 (1997) 89-136.
³ Mathematical modeling of pertussis epidemiology, Z. Angew. Math. Mech. 76:Suppl.2 (1996) 429-432.
³ (L. Gao, J. Mena-Lorca and H.W. Hethcote) Variations on a theme of SEI endemic models, In Differential Equations and Applications to Biology and to Industry, M. Martelli et. al. (eds.), World Scientific, Singapore, 1996, 191-207.
³ Modeling heterogeneous mixing in infectious disease dynamics, In Models for Infectious Human Diseases, V. Isham and G.F.H. Medley, (eds.), Cambridge University Press, Cambridge, 1996, 215-238.
³ (L. Gao, J. Mena-Lorca and H.W. Hethcote) Four SEI endemic models with periodicity and separatrices, Math. Biosci. 128 (1995) 157-184.
³ (H.W. Hethcote and P. van den Driessche) An SIS epidemic model with variable population size and a delay, J. Math. Biol. 34 (1995) 177-194.
³ A thousand and one epidemic models, In Frontiers in Mathematical Biology, S. Levin, ed., Lecture Notes in Biomathematics 100, Springer, Berlin, 1994, 504-515
³ (V. Rouderfer, N. Becker and H.W. Hethcote) Waning immunity and its effects on vaccination schedules, Math. Biosci., 124 (1994) 59-82.
³ (J. Zhou and H.W. Hethcote) Population size dependent incidence in models for diseases without immunity, J. Math. Biol. 32 (1994) 809-834.
³ Modeling AIDS prevention programs in a population of homosexual men, In Modeling the AIDS Epidemic: Planning, Policy and Prediction ,E.H. Kaplan and M.L. Brandeau, {eds.}, Raven Press, New York, 1994, 91-107.
³ (X. Lin, H.W. Hethcote and P. van den Driessche) An epidemiological model for HIV/AIDS with proportional recruitment, Math. Biosci. 118 (1993) 181-195
³ (J. Mena-Lorca and H.W. Hethcote) Dynamic models of infectious diseases as regulators of population sizes, J. Math. Biology 30 (1992) 693-716.
³ (L.Q. Gao and H.W. Hethcote) Disease transmission models with density dependent demographics, J. Math. Biology 30 (1992) 717-731.
³ (H.W. Hethcote and J.W. Van Ark) Weak linkage between HIV epidemics in homosexual men and intravenous drug users in New York City, In AIDS Epidemiology: Methodological Issues, N.P. Jewell, K. Dietz and V.T.Farewell, {eds.}, Birkhauser, Boston Basel Berlin, 1992, 174-208.
³ (H.W. Hethcote and P. van den Driessche) Some epidemiological models with nonlinear incidence, J. Math. Biology 29 (1991) 271-287.
³ (H.W. Hethcote, J.W. Van Ark and I.M. Longini) A simulation model of AIDS in San Francisco I: Model formulation and parameter estimation, Math. Biosci. 106 (1991) 203-222.
³ (H.W. Hethcote, J.W. Van Ark and J.M. Karon) A simulation model of AIDS in San Francisco II: Simulations, therapy and sensitivity analysis, Math. Biosci. 106 (1991) 223-247.
³ (H.W. Hethcote, M.A. Lewis and P. van den Driessche) An epidemiological model with a delay and a nonlinear incidence rate, J. Math. Biology 27 (1989) 49-64.
³ (S.J. Schwager, C. Castillo-Chavez and H.W. Hethcote) Statistical and mathematical approaches in HIV/AIDS Modeling: A review, In Mathematical and Statistical Approaches to AIDS Epidemiology, C. Castillo-Chavez, {ed.}, Lecture Notes in Biomathematics 83, Springer, Berlin Heidelberg New York, 1989, 2-37.
³ A Model for HIV transmission and AIDS, In Mathematical Approaches to Problems in Resource Management and Epidemiology. C.Castillo-Chavez, S.A. Levin and C. Shoemaker {eds.} Lecture Notes in Biomathematics 81, Springer, Berlin, 1989, 164-176.
³ (C. Castillo-Chavez, H.W. Hethcote, V. Andreasen, S.A. Levin and W.M. Liu) Epidemiological models with age structure and proportionate mixing, J. Math. Biology 27 (1989) 223-258.
³ (I.M. Longini, W.S. Clark, R.H. Byers, G.F. Lemp, J.W. Ward, W.W. Darrow and H.W. Hethcote) Statistical analysis of stages of HIV infection using a Markov model, Stat. in Med. 8 (1989) 831-843.
³ Three basic epidemiological models, In Applied Mathematical Ecology, L. Gross, T.G. Hallam and S.A. Levin, {eds}., Springer, Berlin, 1989, 119-144.
³ Rubella, In Applied Mathematical Ecology}, L. Gross, T.G. Hallam and S.A. Levin, {eds.,} Springer, Berlin, 1989, 212-234.
³ (H.W. Hethcote and S.A. Levin) Periodicity in epidemiological models, In Applied Mathematical Ecology, L. Gross, T.G. Hallam and S.A. Levin, {eds.}, Springer, Berlin, 1989, 193-211.
³ Optimal ages of vaccination for measles, Math. Biosci. 89 (1988) 29-52.
³ (C. Castillo-Chavez, H.W. Hethcote, V. Andreasen, S.A. Levin and W.M. Liu) Cross immunity in the dynamics of homogeneous and heterogeneous populations, In Mathematical Ecology, T.G. Hallam, L. Gross and S. A. Levin, {eds.}, World Scientific Publishing., Singapore, 1988, 303-316.
³ (H.W. Hethcote and J.W. Van Ark) Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation and immunization programs, Math. Biosci. 84 (1987) 85-118.
³ (W.M. Liu, H.W. Hethcote and S.A. Levin) Dynamical behavior of epidemiological models with nonlinear incidence rates, J. Math. Biology 25 (1987) 359-380.
³ A vaccination model for an endemic disease with maternal antibodies in infants, In Mathematics and Computers in Biomedical Applications, J. Eisenfeld and C. DeLisi, {eds}., North-Holland, Amsterdam, 1985, 283-286.
³ (H.W. Hethcote and H.R. Thieme) Stability of the endemic equilibrium in epidemic models with subpopulations, Math. Biosci. 75 (1985) 205-227.
³ Measles and rubella in the United States, Am. J. Epidemiol. 117 (1983) 2-13.
³ (H.W. Hethcote, J.A. Yorke and A. Nold) Gonorrhea modeling: A comparison of control methods, Math. Biosci. 58 (1982) 93-109.
³ (H.W. Hethcote, H.W. Stech and P. van den Driessche) Nonlinear oscillations in epidemic models, SIAM J. Appl. Math. 40 (1981) 1-9.
³ (H.W. Hethcote, H.W. Stech and P. van den Dreissche) Periodicity and stability in epidemic models: A survey, In Differential Equations and Applications in Ecology, Epidemics and Population Problems, Claremont Conference Proceedings, S. Busenberg and K. Cooke, {eds}., Academic Press, New York, 1981, 65-82.
³ (H.W. Hethcote, H.W. Stech and P. van den Dreissche) Stability analysis for models of diseases without immunity, J. Math. Biology 13 (1981) 185-198.
³ (H.W. Hethcote and D.W. Tudor) Integral equation models for endemic infectious diseases, J. Math. Biology 9 (1980) 37-48.
³ (J.A. Yorke, H.W. Hethcote and A. Nold) Dynamics and control of the transmission of gonorrhea, Sexually Transmitted Diseases 5 (1978) 51-56.
³ An immunization model for a heterogeneous population, Theor. Pop. Biol. 14 (1978) 338-349.
³ Qualitative analyses of communicable disease models, Math. Biosci. 28 (1976) 335-356.
³ Mathematical models for the spread of infectious diseases, in Epidemiology, SIMS Utah Conference Proceedings, D. Ludwig and K.L. Cooke, {eds}., SIAM, Philadelphia, 1975, 122-131.
³ Asymptotic behavior and stability in epidemic models, in Mathematical Problems in Biology}, P. van den Driessche, {ed}., Lecture Notes in Biomathematics 2, Springer, Berlin, 1974, 83-92.
³ (H.W. Hethcote and P. Waltman) Optimal vaccination schedules in a deterministic epidemic model, Math. Biosci. 18 (1973) 365-382.
³ Asymptotic behavior in a deterministic epidemic model, Bull. Math. Biol. 35 (1973) 607-614.
³ Note on determining the limiting susceptible population in an epidemic model, Math. Biosci. 9 (1970) 161-164.
Updated 9/1/05