Stationary distribution of a stochastic two-species Schoener's competitive system with regime switching
- Resource Type
- article
- Authors
- Hong Qiu; Yunzhe Liu; Yanzhang Huo; Rumei Hou; Wenhua Zheng
- Source
- AIMS Mathematics, Vol 8, Iss 1, Pp 1509-1529 (2023)
- Subject
- stationary distribution
schoener's competitive model
random disturbances
ergodicity
Mathematics
QA1-939
- Language
- English
- ISSN
- 2473-6988
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.