STABILITY OF STOCHASTIC DELAYED SIR MODEL

被引：34

作者：

Chen, Guoting ^{[1
]}

Li, Tiecheng ^{[2
]}

机构：

[1] Univ Lille 1, UFR Math, Lab Paul Painleve, UMR 8524, F-59655 Villeneuve Dascq, France

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

STOCHASTICS AND DYNAMICS | 2009年 / 9卷 / 02期

关键词：

Stability; SIR model; stochastic differential system; time delay; global solution; ASYMPTOTIC STABILITY; POPULATION-DYNAMICS; EQUATIONS; SYSTEMS;

D O I：

10.1142/S0219493709002658

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A stochastic version of the SIR model is investigated in this paper. The stability in probability of the steady state of the system is proved under suitable conditions on the white noise perturbations. Linearizations of the systems both with and without delay are given and their exponentially mean square stabilities are studied.

引用

页码：231 / 252

页数：22

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