Stochastic periodic solution and permanence of a Holling-Leslie predator-prey system with impulsive effects
type: Item
instance of: scholarly article
title: Stochastic periodic solution and permanence of a Holling-Leslie predator-prey system with impulsive effects
zbMATH Open document ID: 1477.92019
DOI: 10.1155/2021/6694479
author: Jinxing Zhao
author: Yuanfu Shao
published in: Journal of Mathematics
publication date: 2021-09-10T00:00:00Z
review text: Summary: Considering the environmental effects, a Holling-Leslie predator-prey system with impulsive and stochastic disturbance is proposed in this paper. Firstly, we prove that existence of periodic solution, the mean time boundness of variables is found by integral inequality, and we establish some sufficient conditions assuring the existencle of periodic Markovian process. Secondly, for periodic impulsive differential equation and system, it is different from previous research methods, by defining three restrictive conditions, we study the extinction and permanence in the mean of all species. Thirdly, by stochastic analysis method, we investigate the stochastic permanence of the system. Finally, some numerical simulations are given to illustrate the main results.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 7393954
MaRDI profile type: Publication
Wikidata QID: Q115521420
full work available at URL: https://doi.org/10.1155/2021/6694479
OpenAlex ID: W3119916446
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description: scientific article; zbMATH DE number 7393954