Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response

In this paper, cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response is studied. By using comparison theorem and some analysis techniques as well as the coincidence degree theory, sufficient conditions are obtained for the permanence, extinction and the...

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Main Authors:	Yao Zhijian, Xie Shengli, Yu Nengfu
Format:	Article
Language:	English
Published:	SpringerOpen 2013-10-01
Series:	Journal of the Egyptian Mathematical Society
Subjects:	Impulsive cooperative predator–prey system Beddington–DeAngelis functional response Permanence Extinction Periodic solution Coincidence degree
Online Access:	http://www.sciencedirect.com/science/article/pii/S1110256X13000527

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record_format	Article
spelling	doaj-7556f568078d49d1974380b2517830742020-11-25T01:44:42ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2013-10-0121321322310.1016/j.joems.2013.04.008Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional responseYao ZhijianXie ShengliYu NengfuIn this paper, cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response is studied. By using comparison theorem and some analysis techniques as well as the coincidence degree theory, sufficient conditions are obtained for the permanence, extinction and the existence of positive periodic solution.http://www.sciencedirect.com/science/article/pii/S1110256X13000527Impulsive cooperative predator–prey systemBeddington–DeAngelis functional responsePermanenceExtinctionPeriodic solutionCoincidence degree
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yao Zhijian Xie Shengli Yu Nengfu
spellingShingle	Yao Zhijian Xie Shengli Yu Nengfu Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response Journal of the Egyptian Mathematical Society Impulsive cooperative predator–prey system Beddington–DeAngelis functional response Permanence Extinction Periodic solution Coincidence degree
author_facet	Yao Zhijian Xie Shengli Yu Nengfu
author_sort	Yao Zhijian
title	Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response
title_short	Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response
title_full	Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response
title_fullStr	Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response
title_full_unstemmed	Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response
title_sort	dynamics of cooperative predator–prey system with impulsive effects and beddington–deangelis functional response
publisher	SpringerOpen
series	Journal of the Egyptian Mathematical Society
issn	1110-256X
publishDate	2013-10-01
description	In this paper, cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response is studied. By using comparison theorem and some analysis techniques as well as the coincidence degree theory, sufficient conditions are obtained for the permanence, extinction and the existence of positive periodic solution.
topic	Impulsive cooperative predator–prey system Beddington–DeAngelis functional response Permanence Extinction Periodic solution Coincidence degree
url	http://www.sciencedirect.com/science/article/pii/S1110256X13000527
work_keys_str_mv	AT yaozhijian dynamicsofcooperativepredatorpreysystemwithimpulsiveeffectsandbeddingtondeangelisfunctionalresponse AT xieshengli dynamicsofcooperativepredatorpreysystemwithimpulsiveeffectsandbeddingtondeangelisfunctionalresponse AT yunengfu dynamicsofcooperativepredatorpreysystemwithimpulsiveeffectsandbeddingtondeangelisfunctionalresponse
_version_	1725026984791113728

Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response

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