Dynamics of a stochastic delayed avian influenza model with mutation and temporary immunity  

作　　者：Ting Kang Qimin Zhang 

机构地区：[1]School of Mathematics and Statistics Ningxia University,Yinchuan 750021,P.R.China [2]Xinhua College,Ningxia University Yinchuan 750021,P.R.China

出　　处：《International Journal of Biomathematics》2021年第5期65-95,共31页生物数学学报（英文版）

基　　金：The research was supported by Ningxia Natural Science Foundation Project(2019AAC03069).

摘　　要：In this paper,the dynamic behaviors are studied for a stochastic delayed avian influenza model with mutation and temporary immunity.First,we prove the existence and uniqueness of the global positive solution for the stochastic model.Second,we give two different thresholds R_(01)^(s) and,R_(02)^(s) and further establish the sufficient conditions of extinction and persistence in the mean for the avian-only subsystem and avian-human system,respectively.Compared with the corresponding deterministic model,the thresholds affected by the white noises are smaller than the ones of the deterministic system.Finally,numerical simulations are carried out to support our theoretical results.It is concluded that the vaccination immunity period can suppress the spread of avian influenza during poultry and human populations,while prompt the spread of mutant avian influenza in human population.

关 键 词：Stochastic delayed avian influenza model MUTATION VACCINATION temporary immunity dynamic behaviors 

分 类 号：O17[理学—数学]