Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418985 | Journal of Mathematical Analysis and Applications | 2013 | 17 Pages |
Abstract
This paper is a continuation of Ko and Ahn (2013) [1], which investigates the stability at all non-negative equilibria and long time behavior of solutions for a ratio-dependent reaction-diffusion system incorporating one prey and two competing predator species under homogeneous Neumann boundary conditions. We examine the nonexistence and the appearance of stationary patterns in the time-independent system. In achieving these, we deal with the system only when the competition state between two competing predators is weak/strong. In particular, the results explain the phenomenon of a stationary pattern being induced by the introduction of a new predator species in the one-prey and one-predator system with no stationary pattern.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wonlyul Ko, Inkyung Ahn,