Competition systems with strong interaction on a subdomain
Słowa kluczowe
Competition systems, singular limits, spatial segregationAbstrakt
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.Pobrania
Opublikowane
2011-04-23
Jak cytować
1.
CROOKS, Elaine C. M. & DANCER, E. Norman. Competition systems with strong interaction on a subdomain. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2011, T. 37, nr 1, s. 37–53. [udostępniono 22.7.2024].
Numer
Dział
Articles
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0