Dynamics of a simple food chain model with a ratio-dependent functional response

Ko, Wonlyul; Ahn, Inkyung

doi:10.1016/j.nonrwa.2010.10.020

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Dynamics of a simple food chain model with a ratio-dependent functional response

Ko, Wonlyul;
Ahn, Inkyung

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WEB OF SCIENCE

12

Citations

SCOPUS

13

초록

This paper considers a diffusive ratio-dependent simple food chain model. The sufficient conditions for the existence and non-existence of coexistence states are provided. In addition, this paper investigates the uniqueness of coexistence states and examines the global attractor of the time-dependent system. Moreover, in view of extinction results, the domino effect and biological control are discussed. (C) 2010 Elsevier Ltd. All rights reserved.

키워드

Positive coexistence; Uniqueness of positive solutions; Global attractor; Upper-lower solution method; Domino effect; Biological control; PREY SYSTEM; PREDATOR; COEXISTENCE; DIFFUSION

제목: Dynamics of a simple food chain model with a ratio-dependent functional response

저자: Ko, Wonlyul; Ahn, Inkyung

DOI: 10.1016/j.nonrwa.2010.10.020

발행일: 2011-06

유형: Article

저널명: Nonlinear Analysis: Real World Applications

권: 12

호: 3

페이지: 1670 ~ 1680