A class of stochastic delayed SIR epidemic models with generalized nonlinear incidence rate and temporary immunity

被引：34

作者：

Fan, Kuangang ^{[1
]}

Zhang, Yan ^{[2
,3
]}

Gao, Shujing ^{[2
]}

Wei, Xiang ^{[3
]}

机构：

[1] Jiangxi Univ Sci & Technol, Sch Mech & Elect Engn, Ganzhou 341000, Peoples R China

[2] Garman Normal Univ, Coll Math & Comp Sci, Ganzhou 341000, Peoples R China

[3] Wuhan Univ, Sch Math & Stat, Wuhan 430000, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 481卷

基金：

中国国家自然科学基金;

关键词：

Stochastic epidemic model; Temporal delay; Threshold value; Extinction; GLOBAL STABILITY; BEHAVIOR; PERSISTENCE; THRESHOLD; DYNAMICS; SYSTEMS;

D O I：

10.1016/j.physa.2017.04.055

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A class of SIR epidemic model with generalized nonlinear incidence rate is presented in this paper. Temporary immunity and stochastic perturbation are also considered. The existence and uniqueness of the global positive solution is achieved. Sufficient conditions guaranteeing the extinction and persistence of the epidemic disease are established. Moreover, the threshold behavior is discussed, and the threshold value R-0 is obtained. We show that if R-0 < 1, the disease eventually becomes extinct with probability one, whereas if R-0 > 1, then the system remains permanent in the mean. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：198 / 208

页数：11

共 28 条

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