研究一类具有单调功能反应和收获率的离散Leslie模型正周期解的存在性问题.利用重合度理论中的延拓定理,获得了该系统至少存在两个正周期解的充分条件.最后列举一些例子说明所得结果的正确性.
The existence of positive periodic solution is studied for a class of discreted Leslie system with monotonic functional response and harvesting.By using a continuation theorem based on coincidence degree theory,sufficient conditions are obtained for the existence of at least two positive periodic solutions.Finally,some examples are given to show the correctness of the obtained results.