Herbert W. Hethcote developed mathematical models of infectious-disease transmission. His University of Iowa research history emphasizes the interaction between infectious and susceptible populations.[ref]
His The Mathematics of Infectious Diseases by Herbert W. Hethcote brings together models, thresholds and their assumptions. In a constant-population SIS model, recovery returns individuals to susceptibility; the infectious fraction satisfies a scalar nonlinear equation whose equilibria reveal an invasion threshold. The example shows how a biological transition diagram becomes a differential equation and then a stability question.[ref]

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