Selected article for: "certain rate and epidemic model"

Author: Xiao, Dongmei; Ruan, Shigui
Title: Global analysis of an epidemic model with nonmonotone incidence rate
  • Cord-id: s6zyumef
  • Document date: 2006_12_12
  • ID: s6zyumef
    Snippet: In this paper 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.
    Document: In this paper 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.

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