Abstract:
In order to study the uniform persistence and global stability of a delayed nonautonomous three specie predator-prey Lotka-Volterra system without dominating instantaneous negative feedback.In an appro- priate condition,using the knowledge of not-equation,we proved the system is uniformly persistent by con- structing a suitable Lyapunov function.Sufficient condition are derived form the global stability of the system. The author considered three species——
y1,
y2,
y3 in the system which has two predator
y2,
y3 and two preys
y1,
y2;
y2 not only is the predator to
y1 but also is the prey to
y3,
y1 is the prey to
y3 too.