具有Beddington-DeAngelis函数的随机SIHRS模型性质  

The Properties of Stochastic SIHRS Model with Beddington-DeAngelis Incidence Rate

作　　者：王珊[1] 王锋[1] WANG Shan;WANG Feng(Department of Mathematics,Pingxiang University,Pingxiang 337000,China)

机构地区：[1]萍乡学院数学系,江西萍乡337000

出　　处：《数学的实践与认识》2024年第11期172-182,共11页Mathematics in Practice and Theory

基　　金：江西省教育厅科学技术研究项目(GJJ212716);国家自然科学基金(62063029)。

摘　　要：研究了具有Beddington-DeAngelis函数的随机SIHRS模型,利用分析的方法得到模型不同动力学性质的阈值,也即当Δ<0时,模型将以指数形式趋于灭绝,当Δ> 0时疾病将在均值意义下持续存在.结果表明提高感染群体确诊的比例将有利于疾病的控制.最后列举几个例子和模拟来验证所得结论.A stochastic SIHRS model with Beddington-DeAngelis incidence rate is studied in this paper.Analytical method is used to obtain the threshold for different dynamic properties of the model,that is,when Δ<0,the model will tend to become extinct exponentially,and when Δ>0,the disease will persist in the mean.The results indicate that increasing the proportion of infected individuals diagnosed will be beneficial for disease control.Finally,the paper provides a few examples and simulations to verify the conclusions obtained.

关 键 词：随机SIHRS模型 Beddington-DeAngelis函数 灭绝性 持久性 

分 类 号：O211.6[理学—概率论与数理统计]