Stochastic SIR model with jumps

被引：118
作者：
Zhang, Xianghua [1 ,2 ]
Wang, Ke [1 ,3 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
[2] Heilongjiang Inst Sci & Technol, Coll Sci, Harbin 150027, Peoples R China
[3] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 08期
关键词：
Brownian motion; Global positive solution; Asymptotic behavior; Jump perturbation; EPIDEMIC MODEL; POPULATION-DYNAMICS; TIME-DELAY;
D O I：
10.1016/j.aml.2013.03.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
People have always attached importance to the prevention and the control of the epidemic disease. The study of the epidemic model provides us a powerful tool. Unfortunately the previous model cannot be applied to massive diseases, such as avian influenza. Therefore we need to revise the model. In this paper, we take the lead in using the stochastic differential equation with jumps to study the asymptotic behavior of the stochastic SIR model. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：867 / 874
页数：8
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