Periodic Predator-prey System Research Articles

Existence and global stability of positive periodic solutions of a predator–prey system with delays

This paper studies the existence, global stability and uniform persistence of positive periodic solutions of a periodic predator–prey system with Holling type III functional response. By using the continuation theorem of coincidence degree theory and Liapunov functional, some sufficient conditions are obtained.

The effect of dispersal on permanence in a predator-prey population growth model

In this paper, we consider a periodic predator-prey system where the prey can disperse between one patch with a low level of food and without predation and one patch with a higher level of food but with predation. We assume a Volterra within-patch dynamic. Under the assumption that the average of dispersal rate from Patch 1 to Patch 2 is less than that of the intrinsic growth rate of prey in Patch 1, we provide a sufficient and necessary condition to guarantee the prey and predator species to be permanent by using the main techniques in [1].

Global Existence of Positive Periodic Solutions of Periodic Predator–Prey System with Infinite Delays

A set of easily verifiable sufficient conditions is derived for the global existence of periodic solutions with strictly positive components for a periodic predator–prey system with infinite delays by using the method of coincidence degree.