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- Herbert W. Hethcote
- SIAM Review
- 2000

Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number R0, theâ€¦ (More)

- Carlos Castillo-Chavez, Herbert W. Hethcote, Viggo Andreasen, Simon A. Levin, W. M. Liu
- Journal of mathematical biology
- 1989

Infection by one strain of influenza type A provides some protection (cross-immunity) against infection by a related strain. It is important to determine how this influences the observedâ€¦ (More)

- Jaime Mena-Lorca, Herbert W. Hethcote
- Journal of mathematical biology
- 1992

Five SIRS epidemiological models for populations of varying size are considered. The incidences of infection are given by mass action terms involving the number of infectives and either the number ofâ€¦ (More)

- W. M. Liu, Herbert W. Hethcote, Simon A. Levin
- Journal of mathematical biology
- 1987

Epidemiological models with nonlinear incidence rates lambda IpSq show a much wider range of dynamical behaviors than do those with bilinear incidence rates lambda IS. These behaviors are determinedâ€¦ (More)

- Herbert W. Hethcote
- Mathematical biosciences
- 1997

The vaccination program for pertussis (whooping cough) in the United States consists of giving multiple doses of pertussis vaccine to young children. A demographic model with a steady-state ageâ€¦ (More)

- Herbert W. Hethcote, Pauline van den Driessche
- Journal of mathematical biology
- 1991

Epidemiological models with nonlinear incidence rates can have very different dynamic behaviors than those with the usual bilinear incidence rate. The first model considered here includes vitalâ€¦ (More)

- James A. Yorke, Herbert W. Hethcote, Annette Nold
- Sexually transmitted diseases
- 1978

Calculations revealed that approximately a third of the reported cases of gonorrhea in women during 1973-1975 were discoveries of the screening program. Theoretical models and epidemiologic dataâ€¦ (More)

- Herbert W. Hethcote, Wendi Wang, Litao Han, Zhien Ma
- Theoretical population biology
- 2004

A predator-prey model with logistic growth in the prey is modified to include an SIS parasitic infection in the prey with infected prey being more vulnerable to predation. Thresholds are identifiedâ€¦ (More)

- Sara Y. Del Valle, James M. Hyman, Herbert W. Hethcote, Stephen Eubank
- Social Networks
- 2007

We present a method for estimating transmission matrices that describe the mixing and the probability of infection between age groups. Transmission matrices can be used to estimate age-dependentâ€¦ (More)

- Herbert W. Hethcote, D W Tudor
- Journal of mathematical biology
- 1980

Endemic infectious diseases for which infection confers permanent immunity are described by a system of nonlinear Volterra integral equations of convolution type. These constant-parameter modelsâ€¦ (More)