Competition systems with strong interaction on a subdomain
Keywords
Competition systems, singular limits, spatial segregationAbstract
We study the large-interaction limit of an elliptic system modelling the steady states of two species $u$ and $v$ which compete to some extent throughout a domain $\Omega$ but compete strongly on a subdomain $A \subset \Omega$. In the strong-competition limit, $u$ and $v$ segregate on $A$ but not necessarily on $\Omega \setminus A$. The limit problem is a system on $\Omega \setminus A$ and a scalar equation on $A$ and in general admits an interesting range of types of solution, not all of which can be the strong-competition limit of coexistence states of the original system.Downloads
Published
2011-04-23
How to Cite
1.
CROOKS, Elaine C. M. and DANCER, E. Norman. Competition systems with strong interaction on a subdomain. Topological Methods in Nonlinear Analysis. Online. 23 April 2011. Vol. 37, no. 1, pp. 37 - 53. [Accessed 29 March 2024].
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 0