Global attractivity of a periodic delayed N -species model of facultative mutualism

Abstract

Two classes of periodic N -species Lotka-Volterra facultative mutualism systems with distributed delays are discussed. Based on the continuation theorem of the coincidence degree theory developed by Gaines and Mawhin and the Lyapunov function method, some new sufficient conditions on the existence and global attractivity of positive periodic solutions are established. © 2013 Ahmadjan Muhammadhaji and Zhidong Teng.