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

Autor: Hong Qiu, Yunzhe Liu, Yanzhang Huo, Rumei Hou, Wenhua Zheng
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 1, Pp 1509-1529 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023076?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals