Stochastic predator-prey system subject to Lévy jumps
type: Item
instance of: scholarly article
title: Stochastic predator-prey system subject to Lévy jumps
zbMATH Open document ID: 1417.92144
DOI: 10.1155/2016/5749892
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: This paper investigates a new nonautonomous impulsive stochastic predator-prey system with the omnivorous predator. First, we show that the system has a unique global positive solution for any given initial positive value. Second, the extinction of the system under some appropriate conditions is explored. In addition, we obtain the sufficient conditions for almost sure permanence in mean and stochastic permanence of the system by using the theory of impulsive stochastic differential equations. Finally, we discuss the biological implications of the main results and show that the large noise can make the system go extinct. Simulations are also carried out to illustrate our theoretical analysis conclusions.
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7025640
Wikidata QID: Q59123564
author: Xinzhu Meng
author: Xiaohong Wang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/5749892
OpenAlex ID: W2323936621
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description: scientific article; zbMATH DE number 7025640