We study the existence of non-trivial, non-negative periodic solutions for systems of singular-degenerate parabolic equations with nonlocal terms and satisfying Dirichlet boundary conditions. The method employed in this paper is based on the Leray-Schauder topological degree theory. However, verifying the conditions under which such a theory applies is more involved due to the presence of the singularity. The system can be regarded as a possible model of the interactions of two biological species sharing the same isolated territory, and our results give conditions that ensure the coexistence of the two species.
|Titolo:||Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms|
|Citazione:||Fragnelli, G., Mugnai, D., Nistri, P., & Papini, D. (2015). Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 17(2).|
|Appare nelle tipologie:||1.1 Articolo in rivista|