Global attractor in competitive Lotka-Volterra systems with retardation

Abstract

Global attractivity is studied for a class of competitive Lotka-Volterra differential systems with retardation. Sufficient conditions, which contain a number of existing results as special instances, are provided for a system to have a single-point global attractor. By these conditions, predictions can be made either for coexistence and stability of all the species or for balance of survival and extinction.