Extinction and persistence of a stochastic SIRS model with nonlinear incidence rate and transfer from infectious to susceptible

被引：2
|
作者：
Zhang, Qiuhua [1 ]
Zhou, Kai [1 ]
机构：
[1] Chizhou Univ, Sch Math & Comp, Chizhou 247000, Anhui, Peoples R China
来源：
SECOND INTERNATIONAL CONFERENCE ON PHYSICS, MATHEMATICS AND STATISTICS | 2019年 / 1324卷
基金：
美国国家科学基金会;
关键词：
EPIDEMIC MODEL; DYNAMICS; DRIVEN;
D O I：
10.1088/1742-6596/1324/1/012016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we propose a stochastic SIRS model with nonlinear incidence rate and transfer from infectious to susceptible. We first give the existence and uniqueness of the positive solution for this system. Moreover, the extinction of the disease and the persistence in the mean are established in the terms of a threshold value.
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页数：10
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