Dynamics of a stochastic population model with Allee effects under regime switching

Advances in Difference Equations

article

Ji, Weiming¹  Liu, Meng¹ 

[1] School of Mathematical Science, Huaiyin Normal University

关键词: Allee effect;    Stochastic perturbations;    Extinction;    Persistence;   

DOI  :  10.1186/s13662-020-02759-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

A stochastic single-species model with Allee effects under regime switching is developed and detected in the present study. First, extinction and persistence of the model are dissected. Subsequently, sufficient criteria are offered to ensure that the model possesses a unique ergodic stationary distribution. Finally, the theoretical outcomes are employed to evaluate the evolution of the African wild dog (Lycaon pictus) in Africa, and some significant functions of stochastic perturbations are exposed.

【 授权许可】

CC BY