Stationary distribution of a stochastic predator–prey model with hunting cooperation

Haokun Qi; Xinzhu Meng; Tasawar Hayat; Aatef Hobiny

doi:10.1016/j.aml.2021.107662

Stationary distribution of a stochastic predator–prey model with hunting cooperation

Haokun Qi
, Xinzhu Meng
, Tasawar Hayat
, Aatef Hobiny

Shandong University of Science and Technology
King Abdulaziz University
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

In this paper, we propose a stochastic predator–prey model with hunting cooperation and nonlinear perturbation of white noise. The sufficient criteria for the existence of a unique ergodic stationary distribution are established by constructing suitable Lyapunov functions. It reveals that the white noise has a significant impact on the dynamical behavior of the model.

Original language	English
Article number	107662
Journal	Applied Mathematics Letters
Volume	124
DOIs	https://doi.org/10.1016/j.aml.2021.107662
State	Published - Feb 2022
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 15 Life on Land

Keywords

Hunting cooperation
Nonlinear perturbation
Stationary distribution
Stochastic predator–prey model

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10.1016/j.aml.2021.107662

Cite this

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title = "Stationary distribution of a stochastic predator–prey model with hunting cooperation",

abstract = "In this paper, we propose a stochastic predator–prey model with hunting cooperation and nonlinear perturbation of white noise. The sufficient criteria for the existence of a unique ergodic stationary distribution are established by constructing suitable Lyapunov functions. It reveals that the white noise has a significant impact on the dynamical behavior of the model.",

keywords = "Hunting cooperation, Nonlinear perturbation, Stationary distribution, Stochastic predator–prey model",

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AU - Qi, Haokun

AU - Meng, Xinzhu

AU - Hayat, Tasawar

AU - Hobiny, Aatef

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AB - In this paper, we propose a stochastic predator–prey model with hunting cooperation and nonlinear perturbation of white noise. The sufficient criteria for the existence of a unique ergodic stationary distribution are established by constructing suitable Lyapunov functions. It reveals that the white noise has a significant impact on the dynamical behavior of the model.

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KW - Nonlinear perturbation

KW - Stationary distribution

KW - Stochastic predator–prey model

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VL - 124

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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Stationary distribution of a stochastic predator–prey model with hunting cooperation

Abstract

UN SDGs

Keywords

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