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Dynamics of a simple food chain model with a ratio-dependent functional response
- Authors
- Ko, Wonlyul; Ahn, Inkyung
- Issue Date
- 6월-2011
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Positive coexistence; Uniqueness of positive solutions; Global attractor; Upper-lower solution method; Domino effect; Biological control
- Citation
- NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.12, no.3, pp.1670 - 1680
- Indexed
- SCIE
SCOPUS
- Journal Title
- NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
- Volume
- 12
- Number
- 3
- Start Page
- 1670
- End Page
- 1680
- ISSN
- 1468-1218
- Abstract
- 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.
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Related Researcher
- Ahn, In Kyung
- 과학기술대학 (응용수리과학부 데이터계산과학전공)