Geometric analysis of an integrated pest management model including two state impulses
type: Item
instance of: scholarly article
title: Geometric analysis of an integrated pest management model including two state impulses
zbMATH Open document ID: 1474.92092
DOI: 10.1155/2014/963072
author: Wencai Zhao
author: Yulin Liu
author: Tongqian Zhang
author: Xinzhu Meng
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: According to integrated pest management strategies, we construct and investigate the dynamics of a Holling-Tanner predator-prey system with state dependent impulsive effects by releasing natural enemies and spraying pesticide at different thresholds. Applying the Dulacs criterion, the global stability of the positive equilibrium in the system without impulsive effect is discussed. By using impulsive differential equation geometry theory and the method of successor functions, we prove the existence of periodic solution of the system with state dependent impulsive effects. Furthermore, the stability conditions of periodic solutions are obtained. Some simulations are exerted to illustrate the feasibility of our main results.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 7023408
Wikidata QID: Q59043154
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/963072
OpenAlex ID: W2082881298
cites work: Q4325523
cites work: Q3995625
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description: scientific article; zbMATH DE number 7023408