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Stationary distribution of a stochastic two-species Schoener's competitive system with regime switching
AIMS Mathematics 2023, 8(1): 1509-1529
Published: 15 January 2023
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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.

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