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Coexistence of a one-prey two-predators model with ratio-dependent functional responses
- Authors
- Baek, Seunghyeon; Ko, Wonlyul; Ahn, Inkyung
- Issue Date
- 1-11월-2012
- Publisher
- ELSEVIER SCIENCE INC
- Keywords
- Positive coexistence; Ratio-dependent functional response; Fixed-point index; One-prey two-predators model
- Citation
- APPLIED MATHEMATICS AND COMPUTATION, v.219, no.4, pp.1897 - 1908
- Indexed
- SCIE
SCOPUS
- Journal Title
- APPLIED MATHEMATICS AND COMPUTATION
- Volume
- 219
- Number
- 4
- Start Page
- 1897
- End Page
- 1908
- ISSN
- 0096-3003
- Abstract
- We examine the positive coexistence of one prey and two competing predators in an interacting system with ratio-dependent functional responses under a hostile environment. Furthermore, we examine the extinction conditions for all three interacting species and for one or two of the three species. In addition, we present the biological interpretation and simulations based on the result. The methods employed are a comparison argument for the elliptic problem and the fixed-point theory applied to a positive cone on a Banach space. (C) 2012 Elsevier Inc. All rights reserved.
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Related Researcher
- Ahn, In Kyung
- 과학기술대학 (응용수리과학부 데이터계산과학전공)