Persistence and Global Stability for a Delayed Nonautonomous Predator–Prey System without Dominating Instantaneous Negative Feedback

A delayed nonautonomous three-species predator–prey Lotka–Volterra system without dominating instantaneous negative feedback is investigated. It is proved that the system is uniformly persistent under appropriate conditions. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the global stability of the system