Levy噪声影响下具有不同发生率的随机SIS双疾病模型动力学分析  

Dynamic Analysis of a Stochastic SIS Epidemic Model with Different Incidence and Double Diseases Driven by Levy Noise

作　　者：陈桦剑 韦煜明 CHEN Hua-jian;WEI Yu-ming(School of mathematics and statistics,Guangxi Normal University,Guilin 541004,China)

机构地区：[1]广西师范大学数学与统计学院,广西桂林541004

出　　处：《数学的实践与认识》2022年第9期237-246,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11961074)。

摘　　要：研究一个带不同发生率和Levy噪声的双疾病随机SIS传染病模型动力学行为,运用Lyapunov函数和伊藤公式讨论模型全局正解的存在性.同时,给出了在白噪声和Levy噪声影响下两种传染病灭绝和持久的条件.此外,文章还探究了两种传染病同时存在的条件.In this paper,we study the dynamics analysis of a stochastic SIS epidemic model with different incidence and double diseases driven by levy noise.By using Lyapunov function and Ito formula,the existence of global positive solution of the model is discussed.Moreover,the conditions of extinction and persistence of double diseases under the influence of white noise and levy noise are showed.Furthermore,we explore the condition under which the two diseases coexist.

关 键 词：Levy噪声 发生率 双疾病 SIS模型 

分 类 号：O175[理学—数学] R181.2[理学—基础数学]