Global stability of two-group SIR model with random perturbation

被引：114

作者：

Yu, Jiajia ^{[1
]}

Jiang, Daqing ^{[1
]}

Shi, Ningzhong ^{[1
]}

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 360卷 / 01期

基金：

芬兰科学院;

关键词：

Stochastic multigroup SIR model; Brownian motion; Ito's formula; Stochastic asymptotically stable in the large; Lyapunov function; LOTKA-VOLTERRA MODEL; EPIDEMIC MODEL; TIME-DELAY; STOCHASTIC-MODEL; DYNAMICS; BEHAVIOR; TRANSMISSION; PERSISTENCE; POPULATION; DISEASE;

D O I：

10.1016/j.jmaa.2009.06.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the two-group SIR model introduced by Guo, Li and Shuai [H.B. Guo, M.Y. Li, Z. Shuai, Global stability of the endemic equilibrium of multigroup SIR epidemic models, Can. Appl. Math. Q. 14 (2006) 259-284], allowing random fluctuation around the endemic equilibrium. We prove the endemic equilibrium of the model with random perturbation is stochastic asymptotically stable in the large. In addition, the stability condition is obtained by the construction of Lyapunov function. Finally, numerical simulations are presented to illustrate our mathematical findings. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：235 / 244

页数：10

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