The Permanence in a Single Species Nonautonomous System with Delays and Feedback Control

We consider a single species nonautonomous system with delays and feedback control. A general criterion on the permanence for all positive solutions is established. The results show that the feedback control does not influence the permanence of species.

Bibliographic Details
Main Authors: Xiaomei Feng, Fengqin Zhang
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/195983
id doaj-213ca4c5e3fd4233867d7a1042b8126a
record_format Article
spelling doaj-213ca4c5e3fd4233867d7a1042b8126a2020-11-24T23:22:38ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/195983195983The Permanence in a Single Species Nonautonomous System with Delays and Feedback ControlXiaomei Feng0Fengqin Zhang1Department of Mathematics, Yuncheng University, Yuncheng 044000, ChinaDepartment of Mathematics, Yuncheng University, Yuncheng 044000, ChinaWe consider a single species nonautonomous system with delays and feedback control. A general criterion on the permanence for all positive solutions is established. The results show that the feedback control does not influence the permanence of species.http://dx.doi.org/10.1155/2010/195983
collection DOAJ
language English
format Article
sources DOAJ
author Xiaomei Feng
Fengqin Zhang
spellingShingle Xiaomei Feng
Fengqin Zhang
The Permanence in a Single Species Nonautonomous System with Delays and Feedback Control
Discrete Dynamics in Nature and Society
author_facet Xiaomei Feng
Fengqin Zhang
author_sort Xiaomei Feng
title The Permanence in a Single Species Nonautonomous System with Delays and Feedback Control
title_short The Permanence in a Single Species Nonautonomous System with Delays and Feedback Control
title_full The Permanence in a Single Species Nonautonomous System with Delays and Feedback Control
title_fullStr The Permanence in a Single Species Nonautonomous System with Delays and Feedback Control
title_full_unstemmed The Permanence in a Single Species Nonautonomous System with Delays and Feedback Control
title_sort permanence in a single species nonautonomous system with delays and feedback control
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2010-01-01
description We consider a single species nonautonomous system with delays and feedback control. A general criterion on the permanence for all positive solutions is established. The results show that the feedback control does not influence the permanence of species.
url http://dx.doi.org/10.1155/2010/195983
work_keys_str_mv AT xiaomeifeng thepermanenceinasinglespeciesnonautonomoussystemwithdelaysandfeedbackcontrol
AT fengqinzhang thepermanenceinasinglespeciesnonautonomoussystemwithdelaysandfeedbackcontrol
AT xiaomeifeng permanenceinasinglespeciesnonautonomoussystemwithdelaysandfeedbackcontrol
AT fengqinzhang permanenceinasinglespeciesnonautonomoussystemwithdelaysandfeedbackcontrol
_version_ 1725567196884631552