Global analysis of a ratio-dependent predator-prey system incorporating a prey refuge - Details

author：

Wang, Y. (Wang, Y..) ^[1] | Chen, L. (Chen, L..) ^[2] | Haiyun, G.A.O. (Haiyun, G.A.O..) ^[3]

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Scopus

Abstract：

In　this　paper,　we　consider　a　ratio-dependent　predator-prey　system　incorporating　a　prey　refuge.　The　qualitative　behavior　of　the　system　at　the　origin　in　the　interior　of　the　first　quadrant　is　studied.　Using　the　prey　refuge　m　as　control,　the　global　qualitative　analysis　of　the　system　and　conditions　of　the　existence　and　the　non-existence　of　limit　cycles　for　the　system　is　obtained.　©　2017　Journal　of　Nonlinear　Functional　Analysis.

Keyword：

Attractor; Divergency criterion; Predator-prey system; Ratio-dependent response; Refuge

Community：

[ 1 ] [Wang, Y.]Department of Mathematics Research, Fujian Institute of Education, Fuzhou, Fujian, 350001, China
[ 2 ] [Chen, L.]Department of Mathematics Research, Fujian Institute of Education, Fuzhou, Fujian, 350001, China
[ 3 ] [Haiyun, G.A.O.]College of Physics and Information Engineering, Fuzhou University, Fuzhou, Fujian, 350001, China

Reprint 's Address：

[Wang, Y.]Department of Mathematics Research, Fujian Institute of EducationChina

Email：

13905927851@126.com

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Source ：

Journal of Nonlinear Functional Analysis

ISSN： 2052-532X

Year： 2017

Volume： 2017

1 . 1 0 0

JCR@2023

Cited Count：

WoS CC Cited Count： 0

SCOPUS Cited Count： 2

ESI Highly Cited Papers on the List： 0 Unfold All

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 1

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