Dynamic analysis of general integrated pest management model with double impulsive control
type: Item
instance of: scholarly article
title: Dynamic analysis of general integrated pest management model with double impulsive control
zbMATH Open document ID: 1418.92222
DOI: 10.1155/2015/839097
author: Yingke Li
author: Kai Wang
author: Ahmadjan Muhammadhaji
author: Zhidong Teng
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: A general predator-prey model with disease in the prey and double impulsive control is proposed and investigated for the purpose of integrated pest management. By using the Floquet theory, the comparison theorem of impulsive differential equations, and the persistence theory of dynamical systems, we obtain that if threshold value \(R_0 < 1\), then the susceptible pest eradication periodic solution is globally asymptotically stable and if \(R_0 > 1\), then the model is permanent. The numerical examples not only illustrate the theoretical results, but also show that when the model is permanent, then it may possess a unique globally attractive \(T\)-periodic solution.
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 7025517
Wikidata QID: Q59105497
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/839097
OpenAlex ID: W1594046761
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description: scientific article; zbMATH DE number 7025517