Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model

被引：147

作者：

Lahrouz, A. ^{[1
]}

Omari, L. ^{[1
]}

Kiouach, D. ^{[1
]}

机构：

[1] Fac Sci Dhar Mehraz, Dept Math, Lab Comp Sci Stat & Qual, Atlas, Fes, Morocco

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2011年 / 16卷 / 01期

关键词：

epidemic model; Lypunov function; Ito's formula; global stability; moment exponential stability; LYAPUNOV FUNCTIONS; STABILITY; SEIR;

D O I：

10.15388/NA.16.1.14115

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present in this paper an SIRS epidemic model with saturated incidence rate and disease-inflicted mortality. The Global stability of the endemic equilibrium state is proved by constructing a Lyapunov function. For the stochastic version, the global existence and positivity of the solution is showed, and the global stability in probability and pth moment of the system is proved under suitable conditions on the intensity of the white noise perturbation.

引用

页码：59 / 76

页数：18

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