Dynamical behaviors of a discrete SIS epidemic model with standard incidence and stage structure

Advances in Difference Equations

Jiabo Xu¹  Zhidong Teng¹  Linfei Nie¹ 

[1] College of Mathematics and System Sciences, Xinjiang University, Urumqi, P.R. China

关键词: discrete SIS epidemic model;    stage structure;    permanence and extinction;    endemic equilibrium;    local stability;   

DOI  :  10.1186/1687-1847-2013-87

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A discrete SIS epidemic model with stage structure and standard incident rate which is governed by Beverton-Holt type is studied. The sufficient conditions on the permanence and extinction of disease are established. The existence of the endemic equilibrium is obtained. Further, by using the method of linearization, the local asymptotical stability of the endemic equilibrium is also studied. Lastly, the examples and numerical simulations carried out to illustrate the feasibility of the main results and revealed the far richer dynamical behaviors of the discrete epidemic model compared with the corresponding continuous epidemic models. MSC:39A30, 92D30.

【 授权许可】

CC BY