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

被引：12

作者：

Wei, Xiaodan ^{[1
,2
]}

Liu, Lijun ^{[3
]}

Zhou, Wenshu ^{[3
]}

机构：

[1] Jilin Univ, Coll Comp Sci & Technol, Changchun 130012, Peoples R China

[2] Dalian Nationalities Univ, Coll Comp Sci, Dalian 116600, Peoples R China

[3] Dalian Nationalities Univ, Dept Math, Dalian 116600, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 469卷

关键词：

SIS epidemic model; Complex network; Nonmonotone incidence rate; Global stability; Global attractivity; SCALE-FREE NETWORKS; COMPLEX HETEROGENEOUS NETWORKS; NONLINEAR INFECTIVITY; DYNAMICS;

D O I：

10.1016/j.physa.2016.11.030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 a (a parameter of this model) is sufficiently large, and is globally attractive if the transmission rate lambda satisfies lambda/lambda(c) is an element of (1,2], where lambda(c) is the epidemic threshold. Some numerical experiments are also presented to illustrate the theoretical results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：789 / 798

页数：10

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