Sign of the solution to a non-cooperative system

Abstract

Combining the results of a recent paper by Fleckinger-Hernandez-deTh{é}lin [14] for a non cooperative $2\times 2$ system with the method of PhD Thesis of MH Lecureux we compute the sign of the solutions of a $n\times n$ non-cooperative systems when the parameter varies near the lowest principal eigenvalue of the system.