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Open Access

Instability of Holling IV-Leslie predator-prey system induced by dichotomous noise

Lijuan CAI1,2 , Panpan ZHANG1,2 , Zhigang WANG1,2 , Haohua WANG1,2 ( )
School of Mathematics and Statistics, Hainan University, Haikou 570228, China
Hainan Key Laboratory for Engineering Modeling and Statistical Calculation, Haikou 570228, China
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Abstract

In the report, the stability regulation mechanism of the Holling IV-Leslie predator-prey system under dichotomous noise was investigated. By characterizing the critical bifurcation conditions that lead to the instability induced by dichotomous noise, the effects of the noise intensity and the temporal memory on the system’s stability were analyzed, and it was demonstrated that adjusting temporal memory can expand the region of Turing instability more sensitively. The numerical simulation experiment results indicated that dichotomous noise destabilizes the system by reshaping bifurcation curves and inducing limit cycle oscillations.

Keywords

Holling IV-Leslie predator-prey systemdichotomous noisespatiotemporal factorstochastic oscillationcritical bifurcation.
CLC number: R181;O232 Document code: A Article ID: 1004-1729(2025)06-0703-11

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Natural Science of Hainan University
Volume 43 Issue 6,
December 2025
Pages 703-713
DOI: 10.15886/j.cnki.hndk.2024120902

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CAI L, ZHANG P, WANG Z, et al. Instability of Holling IV-Leslie predator-prey system induced by dichotomous noise. Natural Science of Hainan University, 2025, 43(6): 703-713. https://doi.org/10.15886/j.cnki.hndk.2024120902

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Received: 09 December 2024
Published: 08 July 2025
© The Author(s).

This is an open access article under the CC-BY license (http://creativecommons.org/licenses/by/4.0/).