An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator

An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator

An impulsive two-prey and one-predator model with square root functional responses, mutual interference, and integrated pest management is constructed. By using techniques of impulsive perturbations, comparison theorem, and Floquet theory, the existence and global asymptotic stability of prey-eradic...

Full description

Bibliographic Details
Main Authors: Zhen Wang, Yuanfu Shao, Xianjia Fang, Xiangmin Ma
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/3897234
id doaj-098864521c6343409968e83875fe82f5
record_format Article
spelling doaj-098864521c6343409968e83875fe82f52020-11-24T23:07:45ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/38972343897234An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of PredatorZhen Wang0Yuanfu Shao1Xianjia Fang2Xiangmin Ma3School of Science, 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, ChinaSchool of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaAn impulsive two-prey and one-predator model with square root functional responses, mutual interference, and integrated pest management is constructed. By using techniques of impulsive perturbations, comparison theorem, and Floquet theory, the existence and global asymptotic stability of prey-eradication periodic solution are investigated. We use some methods and sufficient conditions to prove the permanence of the system which involve multiple Lyapunov functions and differential comparison theorem. Numerical simulations are given to portray the complex behaviors of this system. Finally, we analyze the biological meanings of these results and give some suggestions for feasible control strategies.http://dx.doi.org/10.1155/2016/3897234
collection DOAJ
language English
format Article
sources DOAJ
author Zhen Wang
Yuanfu Shao
Xianjia Fang
Xiangmin Ma
spellingShingle Zhen Wang
Yuanfu Shao
Xianjia Fang
Xiangmin Ma
An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator
Discrete Dynamics in Nature and Society
author_facet Zhen Wang
Yuanfu Shao
Xianjia Fang
Xiangmin Ma
author_sort Zhen Wang
title An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator
title_short An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator
title_full An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator
title_fullStr An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator
title_full_unstemmed An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator
title_sort impulsive three-species model with square root functional response and mutual interference of predator
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2016-01-01
description An impulsive two-prey and one-predator model with square root functional responses, mutual interference, and integrated pest management is constructed. By using techniques of impulsive perturbations, comparison theorem, and Floquet theory, the existence and global asymptotic stability of prey-eradication periodic solution are investigated. We use some methods and sufficient conditions to prove the permanence of the system which involve multiple Lyapunov functions and differential comparison theorem. Numerical simulations are given to portray the complex behaviors of this system. Finally, we analyze the biological meanings of these results and give some suggestions for feasible control strategies.
url http://dx.doi.org/10.1155/2016/3897234
work_keys_str_mv AT zhenwang animpulsivethreespeciesmodelwithsquarerootfunctionalresponseandmutualinterferenceofpredator
AT yuanfushao animpulsivethreespeciesmodelwithsquarerootfunctionalresponseandmutualinterferenceofpredator
AT xianjiafang animpulsivethreespeciesmodelwithsquarerootfunctionalresponseandmutualinterferenceofpredator
AT xiangminma animpulsivethreespeciesmodelwithsquarerootfunctionalresponseandmutualinterferenceofpredator
AT zhenwang impulsivethreespeciesmodelwithsquarerootfunctionalresponseandmutualinterferenceofpredator
AT yuanfushao impulsivethreespeciesmodelwithsquarerootfunctionalresponseandmutualinterferenceofpredator
AT xianjiafang impulsivethreespeciesmodelwithsquarerootfunctionalresponseandmutualinterferenceofpredator
AT xiangminma impulsivethreespeciesmodelwithsquarerootfunctionalresponseandmutualinterferenceofpredator
_version_ 1725617246358732800

Similar Items