The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional Response

The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional Response

Based on the biological resource management of natural resources, a stage-structured predator-prey model with Holling type III functional response, birth pulse, and impulsive harvesting at different moments is proposed in this paper. By applying comparison theorem and some analysis techniques, the...

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Main Authors: Zhixiang Ju, Yuanfu Shao, Xiaolan Xie, Xiangmin Ma, Xianjia Fang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/183526
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spelling doaj-19704adaf18b4c3fb2407761c9d4aed22020-11-24T23:57:25ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/183526183526The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional ResponseZhixiang Ju0Yuanfu Shao1Xiaolan Xie2Xiangmin Ma3Xianjia Fang4School of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaSchool of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaInstitute of Information Science and Technology, Guilin University of Technology, Guilin, Guangxi 541004, ChinaSchool of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaSchool of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaBased on the biological resource management of natural resources, a stage-structured predator-prey model with Holling type III functional response, birth pulse, and impulsive harvesting at different moments is proposed in this paper. By applying comparison theorem and some analysis techniques, the global attractivity of predator-extinction periodic solution and the permanence of this system are studied. At last, examples and numerical simulations are given to verify the validity of the main results.http://dx.doi.org/10.1155/2015/183526
collection DOAJ
language English
format Article
sources DOAJ
author Zhixiang Ju
Yuanfu Shao
Xiaolan Xie
Xiangmin Ma
Xianjia Fang
spellingShingle Zhixiang Ju
Yuanfu Shao
Xiaolan Xie
Xiangmin Ma
Xianjia Fang
The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional Response
Abstract and Applied Analysis
author_facet Zhixiang Ju
Yuanfu Shao
Xiaolan Xie
Xiangmin Ma
Xianjia Fang
author_sort Zhixiang Ju
title The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional Response
title_short The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional Response
title_full The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional Response
title_fullStr The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional Response
title_full_unstemmed The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional Response
title_sort dynamics of an impulsive predator-prey system with stage structure and holling type iii functional response
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2015-01-01
description Based on the biological resource management of natural resources, a stage-structured predator-prey model with Holling type III functional response, birth pulse, and impulsive harvesting at different moments is proposed in this paper. By applying comparison theorem and some analysis techniques, the global attractivity of predator-extinction periodic solution and the permanence of this system are studied. At last, examples and numerical simulations are given to verify the validity of the main results.
url http://dx.doi.org/10.1155/2015/183526
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