Stochastic epidemic dynamics based on the association between susceptible and recovered individuals  

作　　者：Luyao Xin Yingxin Guo Quanxin Zhu 

机构地区：[1]School of Mathematical Sciences,Qufu Normal University,Qufu 273165,Shandong,P.R.China [2]MOE-LCSM,School of Mathematics and Statistics,Hunan Normal University,Changsha 410081,Hunan,P.R.China

出　　处：《International Journal of Biomathematics》2021年第1期31-50,共20页生物数学学报（英文版）

基　　金：This work was supported financially by the Natural Science Foundation of Shandong Province under Grant No.ZR2017MA045.

摘　　要：In this paper,we propose a new mathematical model based on the association between susceptible and recovered individual.Then,we study the stability of this model with the deterministic case and obtain the conditions for the extinction of diseases.Moreover,in view of the association between susceptible and recovered individual perturbed by white noise,we also give sufficient conditions for the extinction and the permanence in mean of disease with the white noise.Finally,we have numerical simulations to demonstrate the correctness of obtained theoretical results.

关 键 词：EXTINCTION permanence in mean STABILITY stochastic epidemic model 

分 类 号：O17[理学—数学]