JournalsifbVol. 10, No. 2pp. 173–195

Coexistence and segregation for strongly competing species in special domains

  • Veronica Felli

    Università degli Studi di Milano-Bicocca, Italy
  • Monica Conti

    Politecnico, Milano, Italy
Coexistence and segregation for strongly competing species in special domains cover
Download PDF

Abstract

We deal with strongly competing multispecies systems of Lotka-Volterra type with homogeneous Dirichlet boundary conditions. For a class of nonconvex domains composed by balls connected with thin corridors, we show the occurrence of pattern formation (coexistence and spatial segregation of all the species), as the competition grows indefinitely. As a result we prove the existence and uniqueness of solutions for a remarkable system of differential inequalities involved in segregation phenomena and optimal partition problems.

Cite this article

Veronica Felli, Monica Conti, Coexistence and segregation for strongly competing species in special domains. Interfaces Free Bound. 10 (2008), no. 2, pp. 173–195

DOI 10.4171/IFB/185