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Global analysis of an epidemic model with nonmonotone incidence rate. (English) Zbl 1119.92042
Summary: We study an epidemic model with nonmonotonic incidence rate, which describes the psychological effect of certain serious diseases on the community when the number of infectives is getting larger. By carrying out a global analysis of the model and studying the stability of the disease-free equilibrium and the endemic equilibrium, we show that either the number of infective individuals tends to zero as time evolves or the disease persists.

MSC:
92C60 Medical epidemiology
37N25 Dynamical systems in biology
34C60 Qualitative investigation and simulation of ordinary differential equation models
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