毒素环境下水生生物持续生存的状态反馈脉冲控制分析

Studies on State Feedback Impulsive Control for Sustainable Survival of Aquatic Population in Toxic Environment

建立了一类具有Holling-Ⅱ型功能反应函数的状态反馈脉冲模型,描述在毒素环境下通过收获食饵和投放捕食者使物种持续生存的策略。使用后继函数等定性方法,得到阶1周期解的存在性、稳定性的充分条件及异宿环的存在性。数值模拟结果验证了理论结果的正确性。

A class of state feedback impulsive model with Holling-II type functional response is proposed to describe the strategies for species sustaining in a toxic environment through harvesting prey and releasing predator.The sufficient conditions for the existence and stability of order-1 periodic solution and the existence of heteroclinic orbit are obtained using qualitative analysis methods such as the successor function.Numerical simulation results are given to verify the correctness of the theoretical results.