含连续时滞的二维竞争系统的周期解和循环解

ON THE PERIODIC AND RECURRENT SOLUTIONS FOR TWO-DIMENSIONAL COMPETITION SYSTEMS WITH CONTINUOUS TIME-DELAYS

本文利用HOPf分支定理和Birkhoff定理给出了含连续时滞的二维Lotka-Volterra竞争系统存在周期解和循环解的条件。

In the present paper the conditions of the existence of periodic and recurrent solutions for two-dimensional Lotka-Volterra competition systems with continuous timedelays are given.Our main tools are Hopf birfurcation theorem and Birkhoff's theorem.