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中文摘要：
研究了一类周期环境中既有比例收获又有常量收获的一维脉冲系统正周期解存在的条件以及解的一些基本性质;以此为基础构造一个迭代格式,利用单调迭代方法证明了二维Lotka-Volterra竞争系统正周期解的存在定理,得到了保证系统正周期解存在的一组容易验证的充分条件。该方法是构造性的,以利于用数值方法求其周期解。给出一个实例并用数值模拟方法解释说明了所获得的主要结论。
英文摘要：
The existence of the positive periodic solution was studied for a class of periodic logistic equation with impul sive harvesting, which includes both cases of the proportional and constant harvesting. Then, based on the results ob tained for logistic equation, a monotoneiterative scheme was established to obtain the existence of the positive periodic solutions for LotkaVolterra competition system. This method is constructive and can be used to develop a computational algorithm for numerical solutions of the periodic solution. An example was given and some computer simulations were carried out to demonstrate the main results.
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