Minimal coexistence configurations for multispecies systems
Analysis of PDEs
2008-12-15 v1
Abstract
We deal with strongly competing multispecies systems of Lotka-Volterra type with homogeneous Neumann boundary conditions in dumbbell-like domains. Under suitable non-degeneracy assumptions, we show that, as the competition rate grows indefinitely, the system reaches a state of coexistence of all the species in spatial segregation. Furthermore, the limit configuration is a local minimizer for the associated free energy.
Keywords
Cite
@article{arxiv.0812.2376,
title = {Minimal coexistence configurations for multispecies systems},
author = {Monica Conti and Veronica Felli},
journal= {arXiv preprint arXiv:0812.2376},
year = {2008}
}