A stochastic Holling-type II predator-prey model with stage structure and refuge for prey
type: Item
instance of: scholarly article
title: A stochastic Holling-type II predator-prey model with stage structure and refuge for prey
zbMATH Open document ID: 1482.92080
DOI: 10.1155/2021/9479012
author: Wanying Shi
author: Youlin Huang
author: Chunjin Wei
author: Shuwen Zhang
published in: Advances in Mathematical Physics
publication date: 2021-11-12T00:00:00Z
review text: In this paper, a stochastic Holling-type II predator-prey model with stage structure and refuge for prey is analyzed. Firstly, the existence and uniqueness of the global positive solution for this predator-prey model have been proved. Due to its nonexplosive property, the authors obtain the conditions for the stochastically ultimate boundedness of positive solution. Next, the sufficient conditions for the existence of a unique ergodic stationary distribution of the positive solution are established. Then, the authors obtain sufficient conditions for the extinction of predator population in two cases and that of prey population in one case. The theoretical results are proved by numerical simulations. The main reference is the work of \textit{A. Das} and \textit{G. P. Samanta} [``A prey-predator model with refuge for prey and additional food for predator in a fluctuating environment'', Phys. A: Stat. Mech. Appl. 538, Article ID 122844 (2019; \url{doi:10.1016/j.physa.2019.122844})].
reviewed by: Yingxin Guo
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 7425138
zbMATH Keywords: stochastic predator-prey model
zbMATH Keywords: positive solution
zbMATH Keywords: stochastic Lyapunov function
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9479012
OpenAlex ID: W3180113531
Wikidata QID: Q115521383
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description: scientific article