Analysis of a Holling-type IV stochastic prey-predator system with anti-predatory behavior and Lévy noise

In this paper, we investigate a stochastic prey-predator model with Holling-type IV functional responses, anti-predatory behavior (referring to prey resistance to predator), gestation time delay of prey and Lévy noise. We investigate the existence and uniqueness of global positive solutions through...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 9; pp. 21033 - 21054
Main Authors Chai, Chuanfu, Shao, Yuanfu, Wang, Yaping
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
anti-predation
holling-type iv
lévy noise
persistence and extinction
stability in distribution
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Summary:In this paper, we investigate a stochastic prey-predator model with Holling-type IV functional responses, anti-predatory behavior (referring to prey resistance to predator), gestation time delay of prey and Lévy noise. We investigate the existence and uniqueness of global positive solutions through Itô's formulation and Lyapunov's method. We also provide sufficient conditions for the persistence and extinction of prey-predator populations. Additionally, we examine the stability of the system distribution and validate our analytical findings through detailed numerical simulations. Our paper concludes with the implications of our results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20231071