Effects of stochastic perturbation on the SIS epidemic system

被引：29

作者：

Lahrouz, Aadil ^{[1
]}

Settati, Adel ^{[1
]}

Akharif, Abdelhadi ^{[1
]}

机构：

[1] Univ Abdelmalek Essaadi, Fac Sci & Tech, Dept Math, Lab Math & Applicat, BP 416 Tanger Principale, Tanger, Morocco

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2017年 / 74卷 / 1-2期

关键词：

SIS epidemic model; SDE; Extinction; Persistence; Stationary distribution; PREY-PREDATOR MODEL; STATIONARY DISTRIBUTION; ASYMPTOTIC PROPERTIES; NONLINEAR INCIDENCE; GLOBAL STABILITY; POPULATION-SIZE; SIRS; PERSISTENCE; EXTINCTION; BEHAVIOR;

D O I：

10.1007/s00285-016-1033-1

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we extend the classical SIS epidemic model from a deterministic framework to a stochastic one. We also study the long time behavior of the stochastic system. We mainly establish conditions for the extinction of disease from the population as well as the persistence of disease under different conditions. In the case of persistence, we show the existence of a stationary distribution. we found that the introduction of stochastic noise changes the basic reproduction number. The presented results are demonstrated by numerical simulations.

引用

页码：469 / 498

页数：30

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