Title :
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
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;
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
DOI :
10.1109/BCGIn.2011.140
