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Research Article | Open Access

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

Hong Qiu, Yunzhe Liu, Yanzhang Huo, Rumei Hou, Wenhua Zheng( )
College of Science, Civil Aviation University of China, Tianjin 300300, China
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Abstract

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.

Keywords

stationary distributionSchoener's competitive modelrandom disturbancesergodicity
CLC number: 60H10, 60H30, 92D25

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AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 1509-1529
DOI: 10.3934/math.2023076

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Cite this article:
Qiu H, Liu Y, Huo Y, et al. Stationary distribution of a stochastic two-species Schoener's competitive system with regime switching. AIMS Mathematics, 2023, 8(1): 1509-1529. https://doi.org/10.3934/math.2023076

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Received: 10 August 2022
Revised: 28 September 2022
Accepted: 09 October 2022
Published: 15 January 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)