Asymptotic Behavior and Stability of SIS System with Random Perturbations

Author

Xu, Min ; Hu, Liangjian

Author_Institution

Bus. Inf. Manage. Sch., Shanghai Inst. of Foreign Trade, Shanghai, China

fYear

2011

fDate

29-31 July 2011

Firstpage

532

Lastpage

534

Abstract

In this paper, we consider a SIS epidemic model with random perturbations. Usually, epidemiological models with bilinear incidence rate have an asymptotically stable trivial equilibrium. We present the stability conditions of the disease-free equilibrium of the stochastic SIS system for epidemics and carry out a detailed analysis on asymptotic stability in pth moment.

Keywords

asymptotic stability; diseases; perturbation techniques; stochastic processes; SIS system epidemic model; asymptotic behavior; asymptotic stability; asymptotically stable trivial equilibrium; bilinear incidence; disease-free equilibrium; epidemiological model; random perturbation; stochastic SIS system stability; susceptible-infected-susceptible system; Analytical models; Asymptotic stability; Diseases; Mathematical model; Numerical models; Stability analysis; Stochastic processes; Asymptotic stability; It´s formula; Stochastic SIS model; disease-free equilibrium; moment exponential stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Business Computing and Global Informatization (BCGIN), 2011 International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4577-0788-9

Electronic_ISBN

978-0-7695-4464-9

Type

conf

DOI

10.1109/BCGIn.2011.140

Filename

6003942