Effects of two types of noise and switching on the asymptotic dynamics of an epidemic model  

作　　者：徐伟 王喜英 刘新芝 

机构地区：[1]Department of Applied Mathematics, Northwestern Polytechnical University [2]Department of Applied Mathematics, University of Waterloo

出　　处：《Chinese Physics B》2015年第5期163-170,共8页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11172233,11472212,11272258,and 11302170);the Natural Science and Engineering Research Council of Canada(NSERC)

摘　　要：This paper mainly investigates dynamics behavior of HIV （human immunodeficiency virus） infectious disease model with switching parameters, and combined bounded noise and Gaussian white noise. This model is different from existing HIV models. Based on stochastic Ito lemma and Razumikhin-type approach, some threshold conditions are established to guarantee the disease eradication or persistence. Results show that the smaller amplitude of bounded noise and R0 〈 1 can cause the disease to die out; the disease becomes persistent if R0 〉 1. Moreover, it is found that larger noise intensity suppresses the prevalence of the disease even if R0 〉 1. Some numerical examples are given to verify the obtained results.This paper mainly investigates dynamics behavior of HIV （human immunodeficiency virus） infectious disease model with switching parameters, and combined bounded noise and Gaussian white noise. This model is different from existing HIV models. Based on stochastic Ito lemma and Razumikhin-type approach, some threshold conditions are established to guarantee the disease eradication or persistence. Results show that the smaller amplitude of bounded noise and R0 〈 1 can cause the disease to die out; the disease becomes persistent if R0 〉 1. Moreover, it is found that larger noise intensity suppresses the prevalence of the disease even if R0 〉 1. Some numerical examples are given to verify the obtained results.

关 键 词：stochastic switched HIV model Razumikhin-type approach EXTINCTION PERMANENCE 

分 类 号：O211.63[理学—概率论与数理统计]