Dynamics of a stochastic delay competition model with imprecise parameters

The Journal of Nonlinear Sciences and its Applications

XinHe¹  MengLiu² 

[1] School of Mathematical Science, Huaiyin Normal University, Huaian 223300, P. R. China;School of Mathematics and Statistics, Northeast Normal University, Jilin 130024, P. R. China

关键词: Competition system;    stochastic perturbations;    imprecise parameters;    time delay.;   

DOI  :  10.22436/jnsa.010.09.20

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

This paper is concerned with a two-species delay stochastic competition model with imprecise parameters. We first obtain the thresholds between persistence and extinction for each species. Then we establish sharp sufficient criteria for the existence of a unique ergodic stationary distribution of the model. The effects of imprecise parameters on the persistence, extinction and existence of the stationary distribution are revealed. Finally, we work out some numerical simulations to illustrate the theoretical results.

【 授权许可】

Unknown