Stability of a stochastic SIR system

被引：231

作者：

Tornatore, E ^{[1
]}

Buccellato, SM ^{[1
]}

Vetro, P ^{[1
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Applicaz, I-90123 Palermo, Italy

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2005年 / 354卷

关键词：

SIR model; delay SIR model; Lyapunov function; stochastic process; numerical simulation; stochastic stability;

D O I：

10.1016/j.physa.2005.02.057

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a stochastic SIR model with or without distributed time delay and we study the stability of disease-free equilibrium. The numerical simulation of the stochastic SIR model shows that the introduction of noise modifies the threshold of system for an epidemic to occur and the threshold stochastic value is found. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：111 / 126

页数：16