具有反馈控制的三种群捕食系统的持久性

Permanence for the Predation System of Three Species with Feedback Controls

研究了具有反馈控制及HollingⅡ,Ⅲ类功能反应的三种群捕食系统的持久性.利用比较原理给出了系统持久生存的条件,通过构造Lyapunov函数的方法,得到了相应的周期系统正解的存在唯一及全局渐近稳定性的充分条件。

A non- autonomous predation system of three species with feedback controls and with Hollings Type Ⅱ, Ⅲ Functional Responses is investigated. Sufficient conditions are obtained for the persistence of this system by using comparable theory. Especially,when the system is a periodic system, sufficient condi- tions are derived that guarantee the existence, uniqueness and global asymptotic stability of the positive periodic solution by using constructing Lyapunov-type functions.