Analysis of a stochastic single species model with Allee effect and jump-diffusion

Advances in Difference Equations

article

Jin, Yalin¹ 

[1] Faculty of Chemical Engineering, Huaiyin Institute of Technology

关键词: Allee effect;    Lévy jumps;    Extinction;    Stochastic permanence;   

DOI  :  10.1186/s13662-020-02631-y

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the effects of the small and abrupt random perturbations in the environment, and formulate a stochastic single species model with Allee effect and jump-diffusion. We first prove that the model admits a unique solution which is global and positive. Then we study the stochastic permanence and extinction of the model. In addition, we estimate the growth rate of the solution. Our results reveal that the properties of the model have close relationships with the jump-diffusion. Finally, we work out several numerical simulations to validate the theoretical results.

【 授权许可】

CC BY