食饵种群为Logistic模型的捕食者食系统的持久性

Permanence of Predator-prey System with Logistic Growth in the Prey

考虑食饵为Logistic模型的捕食者-食非自治系统,证明了该系统在某些条件下是持久的.而且,若该系统是周期系统,在某些条件下,它们存在正周期解且是全局渐近稳定的.

The nonautonomous predator prey model with logistic growth in the prey is considered. It is shown that the system is permanent under some appropriate conditions. Inaddition, for the periodic system there is a unique positive periodic solution which is globally asymptotically stable.