Coexistence of a one-prey two-predators model with ratio-dependent functional responses

  • Baek, Seunghyeon
  • Ko, Wonlyul
  • Ahn, Inkyung
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초록

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.

키워드

Positive coexistenceRatio-dependent functional responseFixed-point indexOne-prey two-predators modelFOOD-CHAIN MODELPOSITIVE SOLUTIONSDIFFUSIONSTABILITYEXISTENCESYSTEM
제목
Coexistence of a one-prey two-predators model with ratio-dependent functional responses
저자
Baek, SeunghyeonKo, WonlyulAhn, Inkyung
DOI
10.1016/j.amc.2012.08.032
발행일
2012-11-01
유형
Article
저널명
Applied Mathematics and Computation
219
4
페이지
1897 ~ 1908