Development of mathematical models for the transmission dynamics of infectious diseases, incorporation of important epidemiological factors including disease latency, recovery, relapse and reinfection, isolation and quarantine, vaccination and immunity. Stability and bifurcation analysis of mathematical models. Estimation of model parameters from public health data, and numerical simulations of models. Prediction of the time course of epidemics and long-term patterns of endemic diseases. Prerequisites: MATH 334 or MATH 336, or with instructor's consent.