Periodic Solutions for n‐Species Lotka‐Volterra Competitive Systems with Pure Delays

We study a class of periodic general n ‐species competitive Lotka‐Volterra systems with pure delays. Based on the continuation theorem of the coincidence degree theory and Lyapunov functional, some new sufficient conditions on the existence and global attractivity of positive periodic solutions for the n ‐species competitive Lotka‐Volterra systems are established. As an application, we also examine some special cases of the system, which have been studied extensively in the literature.