Stationary distribution of a stochastic ratio-dependent predator-prey system with regime-switching

Zhaojuan Wang, Meiling Deng and Meng Liu

Chaos, Solitons & Fractals, 2021, vol. 142, issue C

Abstract: This article explores a stochastic ratio-dependent predator-prey model with regime-switching. We testify that the model admits a unique stationary distribution, and demonstrate that the transition probability of the solution of the model converges to the stationary distribution in exponent rate. We also discuss the biological implications of the results by aid of some numerical simulations.

Keywords: Ratio-dependent predator-prey system; Random disturbances; Stationary distribution (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308547

DOI: 10.1016/j.chaos.2020.110462

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