Global attractivity of a periodic ecological model with m-predators and n-preys by “Pure-delay type” system

In this paper, based on the comparison theorem and Lyapunov method, we study the following periodic Lotka-Volterra model with m-predators and n-preys by “pure-delay type”: By proposing a new concept of generalized uniform M-matrix, a set of easily verifiable sufficient conditions are obtained for the existence and global attractivity of a unique positive periodic solution of the above model. The obtained results improve and generalize some known results.