Analysis of an avian influenza model with Allee effect and stochasticity  

作　　者：Jing Geng Yao Wang Yu Liu Ling Yang Jie Yan 

机构地区：[1]School of Mathematical Sciences,Soochow University Suzhou 215006,P.R..China

出　　处：《International Journal of Biomathematics》2023年第6期1-25,共25页生物数学学报（英文版）

基　　金：This study is supported by the National Key Research and Development Program of China(2018YFA0801103);the National Natural Science Foundation of China(Grant No.12071330 to Ling Yang,Grant No.11701405 to Jie Yan).

摘　　要：In this paper,we investigate a two-dimensional avian influenza model with Allee effect and stochasticity.We first show that a unique global positive solution always exists to the stochastic system for any positive initial value.Then,under certain conditions,this solution is proved to be stochastically ultimately bounded.Furthermore,by constructing a suitable Lyapunov function,we obtain sufficient conditions for the existence of stationary distribution with ergodicity.The conditions for the extinction of infected avian population are also analytically studied.These theoretical results are conformed by computational simulations.We numerically show that the environmental noise can bring different dynamical outcomes to the stochastic model.By scanning different noise intensities,we observe that large noise can cause extinction of infected avian population,which suggests the repression of noise on the spread of avian virus.

关 键 词：Stochastic model of avian influenza Allee effect stochastically ultimate boundness stationary distribution disease extinction 

分 类 号：S855.3[农业科学—临床兽医学]