Permanence for a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls

A new set of sufficient conditions for the permanence of a ratio-dependent predator-prey system with Holling type III functional response and feedback controls are obtained. The result shows that feedback control variables have no influence on the persistent property of the system, thus improving an...

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Main Authors: Jiangbin Chen, Shengbin Yu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/326848
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spelling doaj-96191c97e3c04e48b949cd56f6368e422020-11-24T20:41:25ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/326848326848Permanence for a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback ControlsJiangbin Chen0Shengbin Yu1Zhicheng College, Fuzhou University, Fuzhou, Fujian 350002, ChinaSunshine College, Fuzhou University, Fuzhou, Fujian 350015, ChinaA new set of sufficient conditions for the permanence of a ratio-dependent predator-prey system with Holling type III functional response and feedback controls are obtained. The result shows that feedback control variables have no influence on the persistent property of the system, thus improving and supplementing the main result of Yang (2008).http://dx.doi.org/10.1155/2013/326848
collection DOAJ
language English
format Article
sources DOAJ
author Jiangbin Chen
Shengbin Yu
spellingShingle Jiangbin Chen
Shengbin Yu
Permanence for a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls
Discrete Dynamics in Nature and Society
author_facet Jiangbin Chen
Shengbin Yu
author_sort Jiangbin Chen
title Permanence for a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls
title_short Permanence for a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls
title_full Permanence for a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls
title_fullStr Permanence for a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls
title_full_unstemmed Permanence for a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls
title_sort permanence for a discrete ratio-dependent predator-prey system with holling type iii functional response and feedback controls
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2013-01-01
description A new set of sufficient conditions for the permanence of a ratio-dependent predator-prey system with Holling type III functional response and feedback controls are obtained. The result shows that feedback control variables have no influence on the persistent property of the system, thus improving and supplementing the main result of Yang (2008).
url http://dx.doi.org/10.1155/2013/326848
work_keys_str_mv AT jiangbinchen permanenceforadiscreteratiodependentpredatorpreysystemwithhollingtypeiiifunctionalresponseandfeedbackcontrols
AT shengbinyu permanenceforadiscreteratiodependentpredatorpreysystemwithhollingtypeiiifunctionalresponseandfeedbackcontrols
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