An impulsive three-species model with square root functional response and mutual interference of predator
type: Item
instance of: scholarly article
title: An impulsive three-species model with square root functional response and mutual interference of predator
zbMATH Open document ID: 1417.92155
DOI: 10.1155/2016/3897234
author: Zhen Wang
author: Yuanfu Shao
author: Xianjia Fang
author: Xiangmin Ma
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: An impulsive two-prey and one-predator model with square root functional responses, mutual interference, and integrated pest management is constructed. By using techniques of impulsive perturbations, comparison theorem, and Floquet theory, the existence and global asymptotic stability of prey-eradication periodic solution are investigated. We use some methods and sufficient conditions to prove the permanence of the system which involve multiple Lyapunov functions and differential comparison theorem. Numerical simulations are given to portray the complex behaviors of this system. Finally, we analyze the biological meanings of these results and give some suggestions for feasible control strategies.
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7025689
Wikidata QID: Q59123473
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/3897234
OpenAlex ID: W2400853333
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description: scientific article; zbMATH DE number 7025689