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Research Article | Open Access

Dynamical analysis of a stochastic hybrid predator-prey model with Beddington-DeAngelis functional response and Lévy jumps

Hong Qiu, Yanzhang Huo, Tianhui Ma( )
College of Science, Civil Aviation University of China, Tianjin 300300, China
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Abstract

In this paper, a stochastic hybrid predator-prey model with Beddington-DeAngelis functional response and Lévy jumps is studied. Firstly, it is proved that the model has a unique global solution. Secondly, sufficient conditions for weak persistence in the mean and extinction of prey and predator populations are established. Finally, sufficient conditions for the existence and uniqueness of ergodic stationary distribution are established. Moreover, several numerical simulations are presented to illustrate the main results.

Keywords

predator-prey modelregime-switchingLévy jumpsstationary distribution
CLC number: 60H10, 60H30, 92D25

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 14492-14512
DOI: 10.3934/math.2022799

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Cite this article:
Qiu H, Huo Y, Ma T. Dynamical analysis of a stochastic hybrid predator-prey model with Beddington-DeAngelis functional response and Lévy jumps. AIMS Mathematics, 2022, 7(8): 14492-14512. https://doi.org/10.3934/math.2022799

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Received: 19 April 2022
Revised: 23 May 2022
Accepted: 30 May 2022
Published: 15 August 2022
©2022 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)