Analysis of a novel stochastic SIRS epidemic model with two different saturated incidence rates

被引：54

作者：

Chang, Zhengbo ^{[1
,4
]}

Meng, Xinzhu ^{[1
,2
,3
,4
]}

Lu, Xiao ^{[4
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[2] Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao 266590, Peoples R China

[3] Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao 266590, Peoples R China

[4] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 472卷

基金：

中国国家自然科学基金;

关键词：

Stochastic epidemic model; Stochastic dynamics; Ito's formula; Nonlinear incidence rate; Persistence in mean; GLOBAL STABILITY; THRESHOLD; BEHAVIOR; DYNAMICS;

D O I：

10.1016/j.physa.2017.01.015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper presents a stochastic SIRS epidemic model with two different nonlinear incidence rates and double epidemic asymmetrical hypothesis, and we devote to develop a mathematical method to obtain the threshold of the stochastic epidemic model. We firstly investigate the boundness and extinction of the stochastic system. Furthermore, we use Ito's formula, the comparison theorem and some new inequalities techniques of stochastic differential systems to discuss persistence in mean of two diseases on three cases. The results indicate that stochastic fluctuations can suppress the disease outbreak. Finally, numerical simulations about different noise disturbance coefficients are carried out to illustrate the obtained theoretical results. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：103 / 116

页数：14

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