一类具反馈控制的种群动力学模型的稳定性与概周期解

摘要

A population equations with feedback control is studied. By applying comparison theorem of differential equation and constructing a suitable Lyapunov function, the sufficient conditions for the permanence, global attractivity and the existence of a unique, globally asymptotic stability, strictly positive （component- wise）, almost periodic solution of the system are obtained. Some new results are obtained.%研究了一类具有反馈控制的种群动力学模型．通过利用微分方程比较原理和构造适当的Lyapunov函数，得到了保证系统持久性、全局渐近稳定性和相应概周期系统存在唯一全局渐近稳定的概周期正解的充分性判据．获得了一些新结果．