Optimal control policies of pests for hybrid dynamical systems
type: Item
instance of: scholarly article
title: Optimal control policies of pests for hybrid dynamical systems
zbMATH Open document ID: 1291.92091
DOI: 10.1155/2013/574541
author: Baolin Kang
author: Mingfeng He
author: Bing Liu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We improve the traditional integrated pest management (IPM) control strategies and formulate three specific management strategies, which can be described by hybrid dynamical systems. These strategies can not only effectively control pests but also reduce the abuse of pesticides and protect the natural enemies. The aim of this work is to study how the factors, such as natural enemies optimum choice in the two kinds of different pests, timings of natural enemy releases, dosages and timings of insecticide applications, and instantaneous killing rates of pesticides on both pests and natural enemies, can affect the success of IPM control programmes. The results indicate that the pests outbreak period or frequency largely depends on the optimal selective feeding of the natural enemy between one of the pests and the control tactics. Ultimately, we obtain the only pest \(x_2\) needs to be controlled below a certain threshold while not supervising pest \(x_1\).
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 49N90
zbMATH DE Number: 6307014
describes a project that uses: XPPAUT
MaRDI profile type: Publication
Wikidata QID: Q58917156
full work available at URL: https://doi.org/10.1155/2013/574541
OpenAlex ID: W1974510318
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description: scientific article; zbMATH DE number 6307014