Stationary distribution of a stochastic two-species Schoener's competitive system with regime switching

AIMS Mathematics

article

Hong Qiu¹  Yunzhe Liu¹  Yanzhang Huo¹  Rumei Hou¹  Wenhua Zheng¹ 

[1] College of Science, Civil Aviation University of China

关键词: stationary distribution;    Schoener's competitive model;    random disturbances;    ergodicity;   

DOI  :  10.3934/math.2023076

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper studies a stochastic two-species Schoener's competitive model with regime switching. We first investigate the sufficient conditions for the existence of a unique stationary distribution of the model. Then we prove that the convergence of transition probability to the stationary distribution is exponentially under some mild assumptions. Moreover, we also introduce several numerical simulations to validate the model against the biological significance.

【 授权许可】

CC BY