Stability and uniqueness for cooperative degenerate Lotka-Volterra model

Abstract

In this work we deal with the existence, stability and uniqueness of positive solution of the symbiotic Lotka-Volterra degenerate model. We study and characterize the existence of the principal eigenvalue for weakly coupled elliptic cooperative singular systems. We use it, monotony methods and blowing up arguments to get our results and to show the change of behaviour between the cases of weak and strong mutualism and between non-degenerate and degenerate model.