Global stability and attractivity of a network-based SIS epidemic model with nonmonotone incidence rate

Xiaodan Wei, Lijun Liu and Wenshu Zhou

Physica A: Statistical Mechanics and its Applications, 2017, vol. 469, issue C, 789-798

Abstract: In this paper, we study the global stability and attractivity of the endemic equilibrium for a network-based SIS epidemic model with nonmonotone incidence rate. The model was introduced in Li (2015). We prove that the endemic equilibrium is globally asymptotically stable if α (a parameter of this model) is sufficiently large, and is globally attractive if the transmission rate λ satisfies λλc∈(1,2], where λc is the epidemic threshold. Some numerical experiments are also presented to illustrate the theoretical results.

Keywords: SIS epidemic model; Complex network; Nonmonotone incidence rate; Global stability; Global attractivity (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:469:y:2017:i:c:p:789-798

DOI: 10.1016/j.physa.2016.11.030

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