Extinction in nonautonomous T-periodic competitive Lotka-Volterra system

摘要

A nonautonomous T-periodic competitive Lotka-Volterra system of n species is considered. It is shown that if the coefficients are T-periodic, continuous and satisfy certain inequalities, then any solution with strictly positive initial conditions has the property that all but one of its components vanish while the remaining component approaches the canonical solution of a certain logistic differential equation.