✦ LIBER ✦

On a predator–prey system with cross-diffusion representing the tendency of prey to keep away from its predators

✍ Scribed by Wonlyul Ko; Kimun Ryu

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 252 KB
Volume: 21
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2007.12.018

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✦ Synopsis

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.