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Dynamics of a delayed epidemic model with non-monotonic incidence rate. (English) Zbl 1221.34197
Summary: A delayed epidemic model with non-monotonic incidence rate which describes the psychological effect of certain serious on the community when the number of infectives is getting larger is studied. The disease-free equilibrium is globally asymptotically stable when \(R_{0}<1\) and is globally attractive when \(R_{0}=1\) are derived. On the other hand, The disease is permanent when \(R_{0}>1\) is also obtained. Numerical simulation results are given to support the theoretical predictions.

MSC:
34K20 Stability theory of functional-differential equations
92D30 Epidemiology
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