Nonlinear stochastic analysis for a stochastic SIS epidemic model

The Journal of Nonlinear Sciences and its Applications

Fei Li¹  YujunCui¹  XinzhuMeng² 

[1] College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, P. R. China;State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, P. R. China

关键词: Stochastic SIS epidemic model;    Feller';    s test;    stochastic permanence;    nonlinear saturated incidence;   

DOI  :  10.22436/jnsa.010.09.47

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

This paper considers a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model with nonlinear saturated incidence. The threshold conditions for disease extinction and stochastic permanence are obtained by using nonlinear stochastic analysis for Feller's test and the canonical probability method. Consequently, this improves and extends some previous results obtained by using Lyapunov method. A series of numerical simulations are carried out to illustrate our theoretical findings.

【 授权许可】

Unknown