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

Ko, Wonlyul; Ryu, Kimun

doi:10.1016/j.na.2009.02.119

상세 보기

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

Ko, Wonlyul;
Ryu, Kimun

Citations

WEB OF SCIENCE

28

Citations

SCOPUS

32

초록

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.

키워드

Coexistence state; Predator-prey; Competition; Beddington-DeAngelis; Permanence; Global attractor; Fixed point index; BOUNDARY-VALUE-PROBLEMS; STEADY-STATE SOLUTIONS; LOTKA-VOLTERRA MODELS; POSITIVE SOLUTIONS; COEXISTENCE STATES; DIFFERENTIAL-EQUATIONS; COMPETITION MODEL; GENERAL-CLASS; PREY SYSTEM; EXISTENCE

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

저자: Ko, Wonlyul; Ryu, Kimun

DOI: 10.1016/j.na.2009.02.119

발행일: 2009-11-01

유형: Article

저널명: Nonlinear Analysis, Theory, Methods and Applications

권: 71

호: 9

페이지: 4185 ~ 4202