Stationary distribution of a stochastic predator-prey model with hunting cooperation
type: Item
instance of: scholarly article
title: Stationary distribution of a stochastic predator-prey model with hunting cooperation
zbMATH Open document ID: 1492.92068
author: Haokun Qi
author: Tasawar Hayat
author: Xinzhu Meng
author: Aatef Hobiny
published in: Applied Mathematics Letters
publication date: 2021-12-13T00:00:00Z
review text: In this paper, the authors proposed a stochastic predator-prey model with hunting cooperation and nonlinear perturbation of white noise. By constructing suitable Lyapunov functions, the sufficient criteria for the existence of a unique ergodic stationary distribution are established. It shows that the white noise plays an important role on the dynamical behavior of the model.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60H40
zbMATH DE Number: 7443301
zbMATH Keywords: stochastic predator-prey model
zbMATH Keywords: hunting cooperation
zbMATH Keywords: stationary distribution
zbMATH Keywords: nonlinear perturbation
MaRDI profile type: Publication
full work available at URL: j.aml.2021.107662
OpenAlex ID: W3200027348
cites work: Effects of spatial grouping on the functional response of predators
cites work: Impacts of foraging facilitation among predators on predator-prey dynamics
cites work: Hunting cooperation and Allee effects in predators
cites work: Effect of hunting cooperation on the dynamic behavior for a diffusive Holling type II predator-prey model
cites work: Threshold behavior of a stochastic predator-prey system with prey refuge and fear effect
cites work: Stationary distribution of a stochastic ratio-dependent predator-prey system with regime-switching
cites work: Stationary distribution and extinction of a stochastic predator-prey model with additional food and nonlinear perturbation
cites work: Influence of the fear factor on the dynamics of a stochastic predator-prey model
Wikidata QID: Q114210546
DOI: 10.1016/J.AML.2021.107662
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description: scientific article; zbMATH DE number 7443301