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Analysis of diffusive two-competing-prey and one-predator systems with Beddington-Deangelis functional response

Authors
Ko, WonlyulRyu, Kimun
Issue Date
1-11월-2009
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Keywords
Coexistence state; Predator-prey; Competition; Beddington-DeAngelis; Permanence; Global attractor; Fixed point index
Citation
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.71, no.9, pp.4185 - 4202
Indexed
SCIE
SCOPUS
Journal Title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume
71
Number
9
Start Page
4185
End Page
4202
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/118945
DOI
10.1016/j.na.2009.02.119
ISSN
0362-546X
Abstract
In this paper, a diffusive two-competing-prey and one-predator system with Beddington-DeAngelis functional response is considered. The sufficient and necessary conditions for the existence of coexistence states are provided using the fixed point index theory developed. In addition, the stability and uniqueness of coexistence states are investigated. Finally, this paper discusses the sufficient conditions for extinction and permanence of the time-dependent system. (c) 2009 Elsevier Ltd. All rights reserved.
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