Nonautonomous n-species competing problems

Abstract

We consider the nonaulonomous Lotka-Volterra system for 12 competing species and we assume that our coefficients are bounded above and below by positive constants. Under appropriate conditions on these coefficients,we prove the existence and uniqueness of a solution whose components are bounded above and below by positive constants. We also show that this solution is asymptotically stable

Keywords:

• Computing specinig problem
• Banach's Contraction Perincipel