Asymptotic Behavior of the nonautonomous two-species Lotka-Volterra competition models

AbstractIn the present paper, the nonautonomous two-species Lotka-Volterra competition models are considered, where all the parameters are time-dependent and asymptotically approach periodic functions, respectively. Under some conditions, it is shown that any positive solutions of the models asymptotically approach the unique strictly positive periodic solution of the corresponding periodic system