Dynamics of a stochastic multi-stage sheep brucellosis model with incomplete immunity  

作　　者：Wenxuan Wang Xamxinur Abdurahman 

机构地区：[1]College of Mathematics and Systems Science Xinjiang University,China

出　　处：《International Journal of Biomathematics》2023年第8期231-261,共31页生物数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China,under grant number 11861063.

摘　　要：This paper considered a multi-stage sheep brucellosis model with incomplete immunity.First,we established a deterministic model,calculated the basic reproduction number R_(0),set out the conditions for the global stability of the disease-free equilibrium and endemic equilibrium.Second,considering the influence of environmental white noise on brucellosis infection,we further established the stochastic version of the model.By constructing a suitable Lyapunov function,we proved the existence and uniqueness of the global positive solution.Further,we got the sufficient conditions for disease extinction and the existence of ergodic stationary distribution.Finally,we carried out some numerical simulations to verify the theoretical results.

关 键 词：BRUCELLOSIS incomplete immunity white noise EXTINCTION stationary distribution 

分 类 号：O17[理学—数学]