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Competition in patchy environment with cross diffusion

✍ Scribed by Shaban Aly; M Farkas

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 243 KB
Volume: 5
Category: Article
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2003.10.001

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we formulate a Lotka-Volterra competitive system in two patches in which the per capita migration rate of each species is in uenced not only by its own but also by the other one's density, i.e. there is cross di usion present. Numerical studies show that at a critical value of the bifurcation parameter the system undergoes a Turing bifurcation and the cross-migration response is an important factor that should not be ignored when pattern emerges.

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