Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem

This paper investigates the impact of the threshold control strategy and environmental randomness on pest control. Firstly, a fixed-time impulsive stochastic ecosystem with IPM strategy is proposed, where the local and global existence of positive solution and the boundedness of expectation are disc...

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Main Authors: Xuewen Tan, Wenjie Qin, Guangyao Tang, Changcheng Xiang, Xinzhi Liu
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/8326164
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author Xuewen Tan
Wenjie Qin
Guangyao Tang
Changcheng Xiang
Xinzhi Liu
author_facet Xuewen Tan
Wenjie Qin
Guangyao Tang
Changcheng Xiang
Xinzhi Liu
author_sort Xuewen Tan
collection DOAJ
description This paper investigates the impact of the threshold control strategy and environmental randomness on pest control. Firstly, a fixed-time impulsive stochastic ecosystem with IPM strategy is proposed, where the local and global existence of positive solution and the boundedness of expectation are discussed in detail. Moreover a sufficient condition for the extinction of the pest population with probability-1 is given. Then, a state-dependent stochastic ecosystem with IPM strategy is proposed. By employing the numerical simulations, the effects of ambient noise intensity on pest-outbreak are discussed. The result shows that there is a close relationship among the frequency of pest-outbreak, ET, the environmental perturbation intensity, and control measures. This study helps us to understand the impact of random factors on pest-outbreak frequency by theoretical derivations and numerical simulations; the results have directive significance in the design of an optimal control strategy for the department of ecological agriculture.
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institution Kabale University
issn 1076-2787
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language English
publishDate 2019-01-01
publisher Wiley
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series Complexity
spelling doaj-art-f8ea66a621084d549ad8fdaf12fbffef2025-02-03T05:57:49ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/83261648326164Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy EcosystemXuewen Tan0Wenjie Qin1Guangyao Tang2Changcheng Xiang3Xinzhi Liu4School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, ChinaThree Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, ChinaDepartment of Mathematics, Hubei Minzu University, Enshi 445000, ChinaDepartment of Mathematics, Hubei Minzu University, Enshi 445000, ChinaDepartment of Applied Mathematics, University of Waterloo, Waterloo N2L 3G1, CanadaThis paper investigates the impact of the threshold control strategy and environmental randomness on pest control. Firstly, a fixed-time impulsive stochastic ecosystem with IPM strategy is proposed, where the local and global existence of positive solution and the boundedness of expectation are discussed in detail. Moreover a sufficient condition for the extinction of the pest population with probability-1 is given. Then, a state-dependent stochastic ecosystem with IPM strategy is proposed. By employing the numerical simulations, the effects of ambient noise intensity on pest-outbreak are discussed. The result shows that there is a close relationship among the frequency of pest-outbreak, ET, the environmental perturbation intensity, and control measures. This study helps us to understand the impact of random factors on pest-outbreak frequency by theoretical derivations and numerical simulations; the results have directive significance in the design of an optimal control strategy for the department of ecological agriculture.http://dx.doi.org/10.1155/2019/8326164
spellingShingle Xuewen Tan
Wenjie Qin
Guangyao Tang
Changcheng Xiang
Xinzhi Liu
Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem
Complexity
title Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem
title_full Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem
title_fullStr Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem
title_full_unstemmed Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem
title_short Models to Assess the Effects of Nonsmooth Control and Stochastic Perturbation on Pest Control: A Pest-Natural-Enemy Ecosystem
title_sort models to assess the effects of nonsmooth control and stochastic perturbation on pest control a pest natural enemy ecosystem
url http://dx.doi.org/10.1155/2019/8326164
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