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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Wiley
2019-01-01
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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. |
format | Article |
id | doaj-art-f8ea66a621084d549ad8fdaf12fbffef |
institution | Kabale University |
issn | 1076-2787 1099-0526 |
language | English |
publishDate | 2019-01-01 |
publisher | Wiley |
record_format | Article |
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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