建立了一类具有状态反馈控制的湖泊营养成分与藻类的生态系统。在无脉冲控制系统定性分析结果的基础上,利用微分方程的几何理论研究了所建状态脉冲系统阶1周期解的存在性,并给出了轨道稳定性的条件。
A class of ecological system of lake nutrients and algae with state feedback control was presented . Based on the qualitative analysis results of the system without impulsive control , the existences of order-1 periodic solu-tion about the impulsive system were proved by using the geometric theory of differential equations .The conditions for the orbital stability of order-1 periodic solution were given .