Persistence of a Class of Periodic Kolmogorov Systems1

In this paper, we study the persistence of a periodic Kolmogorov system which models the growth of n interacting biological species. The system is assumed to have a simple dynamic, in the sense that each coordinate subsystem possesses a global attractor. Our research is mainly addressed to the case in which there exists at least a predator among the n species. However, we also obtain a result about persistence for a class of competitive systems