具有信息干扰和Markov切换的随机传染病的灭绝性  

Extinction of a Stochastic Epidemic Model with Information Intervention and Markov Switching

作　　者：王艳梅 刘桂荣[1] WANG Yanmei;LIU Guirong(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2021年第2期229-233,共5页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11971279)。

摘　　要：文章研究了一类具有信息干扰和Markov切换的随机传染病模型正解的存在性及灭绝性。通过构造合适的Lyapunov函数得到了模型正解存在性和唯一性的充分条件,利用马尔科夫链的遍历性得到了疾病灭绝的条件。最后,通过数值模拟验证了理论结果。We consider the existence of positive solution and extinction of a stochastic epidemic model with information intervention and Markov switching.We prove the existence and uniqueness of global positive solution of the model by constructing a suitable Lyapunov function, and the condition for disease extinction is obtained by using the ergodic property of Markov chains.Moreover,we demonstrate the theoretical results by numerical simulations.

关 键 词：随机传染病模型 Markov切换 信息干扰 灭绝性 

分 类 号：O177.2[理学—数学]