一类时滞微分方程正周期解的存在性

The Existence of Positive Periodic Solution for a Differtial Equation with Delay

讨论了一类生物模型正周期解的存在性问题,利用Mawhin延拓定理得到了系统存在正周期解的一个充分条件。而且,当系统为无穷时滞时,结论也是成立的。

The positive periodic solutions of a biological model with delay were disscussed. One Sufficient condition of the existence of positive periodic solutions was obtained by using the continuation theorem of Mawhin＇ s coincidence degree. In addition, the result on the case with infinite delay was proved to be true.