切换状态下随机SIQR模型  

Stochastic SIQR Model Under Regime Switching

作　　者：田竺艳 张树文[1] 魏春金[1] TIAN Zhuyan;ZHANG Shuwen;WEI Chunjin(School of Science,Jimei University,Xiamen 361021,China)

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2021年第3期271-279,共9页Journal of Jimei University：Natural Science

基　　金：福建省自然科学基金项目(2018J01418)。

摘　　要：研究切换状态下具有饱和发病率的随机SIQR流行病模型,得到系统全局正解的存在唯一性和疾病灭绝的充分条件。通过构造合适的Lyapunov函数,证明系统解的正常返的存在性。最后,数值模拟验证了理论结果。In this paper,a stochastic SIQR model with saturated incidence was investigated under regime switching.The existence and uniqueness of the positive global solution of the system were proved,and sufficient conditions for extinction of the disease were obtained.By constructing a suitable Lyapunov function,the existence of positive recurrence of the system was proved.Finally,some numerical simulations were introduced to illustrate the theoretical results.

关 键 词：传染病模型 随机干扰 灭绝 正常返 

分 类 号：O175.13[理学—数学]