Persistence and global stability in a delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks

摘要

A delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of constructing 1 suitable Lyapunov functional, sufficient conditions are derived for the local and global asymptotic stability of the positive equilibrium of the system. (C) 2002 Elsevier Science. [References: 10]