研究具有状态反馈脉冲控制的种群互惠动力系统.  首先利用微分方程几何理论和后继函数的方法得到一般系统阶1周期解的存在条件; 然后研究了 一类特殊系统, 说明了该系统在一定条件下存在唯一的阶1周期解, 并且给出了该阶1周期解轨道渐近稳定的条件, 此外还探讨了该系统阶2周期解的存在性问题.

In this paper, we investigate species cooperative systems with impulsive state feedback control. First, we get the sufficient condition for the existence of the order 1 periodic solutions for the usual species cooperative system by using differential equation geometry theory and the method of successor functions. Then, we analyze a particular species cooperative system with impulsive state feedback control, and show that it has a unique order 1 periodic solution
which is orbitally asymptotically stable under some conditions. Finally, we obtain the existence of the order 2 periodic solution of this system.