Dynamics of a stochastic SIS model with double epidemic diseases driven by Levy jumps

被引：64

作者：

Zhang, Xinhong ^{[1
]}

Jiang, Daqing ^{[1
,2
]}

Hayat, Tasawar ^{[2
,3
]}

Ahmad, Bashir ^{[2
]}

机构：

[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

[2] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia

[3] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 471卷

关键词：

Stochastic SIS epidemic model; Double epidemic diseases; Coexistence; Persistence in the mean; Levy jumps; THRESHOLD BEHAVIOR;

D O I：

10.1016/j.physa.2016.12.074

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is to investigate the dynamics of a stochastic SIS epidemic model with saturated incidence rate and double epidemic diseases which make the research more complex. The environment variability in this study is characterized by white noise and jump noise. Sufficient conditions for the extinction and persistence in the mean of two epidemic diseases are obtained. It is shown that the two diseases can coexist under appropriate conditions. Finally, numerical simulations are introduced to illustrate the results developed. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：767 / 777

页数：11

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