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On a predator-prey system with cross-diffusion representing the tendency of prey to keep away from its predators
- Authors
- Ko, Wonlyul; Ryu, Kimun
- Issue Date
- 11월-2008
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Predator-prey interaction; Cross-diffusion; Index theory
- Citation
- APPLIED MATHEMATICS LETTERS, v.21, no.11, pp.1177 - 1183
- Indexed
- SCIE
SCOPUS
- Journal Title
- APPLIED MATHEMATICS LETTERS
- Volume
- 21
- Number
- 11
- Start Page
- 1177
- End Page
- 1183
- ISSN
- 0893-9659
- Abstract
- In this work, We Study a predator-prey system with cross-diffusion, representing the tendency of prey to keep away from its predators, under (the homogeneous Dirichlet boundary condition. Using fixed point index theory, we provide some Sufficient conditions for the existence of positive steady-state Solutions. Furthermore, we investigate the non-existence of positive solutions. (C) 2008 Elsevier Ltd. All rights reserved.
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