Stability of a novel stochastic epidemic model with double epidemic hypothesis

被引：46

作者：

Meng, Xin-zhu ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266510, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Double epidemic hypothesis; Stochastic epidemic model; Time delay; Stochastic stability; PREDATOR-PREY MODEL; GLOBAL STABILITY; TIME DELAYS; PERMANENCE; VACCINATION;

D O I：

10.1016/j.amc.2010.05.083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a novel SIR disease transmission model is formulated under double epidemic hypothesis and stochastic perturbation. We present the stability conditions of the disease-free equilibrium of the SIR model without stochastic perturbation and with stochastic perturbation. We obtain the deterministic stability threshold beta(1)** and beta(2)** of the disease-free equilibrium, under which the disease-free equilibrium is stochastically stable such that the disease will disappear finally leaving all the population susceptible. The results show that double epidemic hypothesis and stochastic perturbation have significant effects on the dynamics behaviors of the model. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：506 / 515

页数：10

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