Epidemic Models

We considered several models used to study epidemics. The text book presents the simplest SIR model as a homework problem. Extensions of the model - SIRS and the AIDS models - were also discussed.

• Maple Worksheet - SIR Model

• Maple Worksheet - SIRS model

• Maple Worksheet - AIDS model

• Maple Worksheet - HIV/AIDS model

• C. Castillo, K. Cooke, W. Huang and S.A. Levin, On the role of long incubation periods in the dynamics of AIDS, Part I: single population models, J. Math. Biol. , 27, 1989.
• C. Castillo, H.W. Hethcote, V. Andreasen, S.A. Levin and W Lui, Epidemiological models with age structure, proportionate mixing, and cross-immunity J. Math. Biol. , 27, 1989, 233- 258.