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": [GRAPHICS] 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. (c) 2006 Elsevier Ltd. All rights reserved.
global attractivity periodic solutions predator-prey system lyapunov functional