Dynamics of a stochastic modified Leslie-Gower predator-prey system with hunting cooperation.

Li, Chao; Shi, Peilin

Li, Chao; Shi, Peilin.

Afiliación

Li C; Department of Mathematics, Taiyuan University of Technology, Taiyuan, People's Republic of China.
Shi P; Department of Mathematics, Taiyuan University of Technology, Taiyuan, People's Republic of China.

J Biol Dyn ; 18(1): 2366495, 2024 Dec.

Article en En | MEDLINE | ID: mdl-38899433

ABSTRACT

ABSTRACT

In this paper, we consider a stochastic two-species predator-prey system with modified Leslie-Gower. Meanwhile, we assume that hunting cooperation occurs in the predators. By using Itô formula and constructing a proper Lyapunov function, we first show that there is a unique global positive solution for any given positive initial value. Furthermore, based on Chebyshev inequality, the stochastic ultimate boundedness and stochastic permanence are discussed. Then, under some conditions, we prove the persistence in mean and extinction of system. Finally, we verify our results by numerical simulations.

Asunto(s)

Modelos Biológicos; Conducta Predatoria; Procesos Estocásticos; Conducta Predatoria/fisiología; Animales; Conducta Cooperativa; Dinámica Poblacional; Simulación por Computador

Palabras clave

34F05; 60H10; 92D25; Stochastic predatorprey system; extinction; hunting cooperation; stochastic permanence; stochastic ultimate boundedness

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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Asunto principal: Conducta Predatoria / Procesos Estocásticos / Modelos Biológicos Límite: Animals Idioma: En Revista: J Biol Dyn Asunto de la revista: BIOLOGIA Año: 2024 Tipo del documento: Article Pais de publicación: Reino Unido

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