Global stability in delayed nonautonomous Lotka-Volterra type systems without saturated equilibria
Systems of delayed nonautonomous Lotka-Volterra type equations are considered. Global asymptotic behavior of such systems is proved by using a new approach. Sufficient conditions are obtained by dropping the requirement of existence of a saturated equilibrium for these systems. Some applications of this method to autonomous Lotka-Volterra type competition systems are shown. Three open problems are proposed in this paper as well.
systems of delayed nonautonomous Lotka-Volterra type equations
scientific article; zbMATH DE number 856937