Periodicity and stability in periodic n-species Lotka-Volterra competition system with feedback controls and deviating arguments

By using the method of coincidence degree and Lyapunov functional, a set of easily applicable criteria are established for the global existence and global asymptotic stability of strictly positive (componentwise) periodic solution of a periodic n-species Lotka-Volterra competition system with feedback controls and several deviating arguments. The problem considered in this paper is in many aspects more general and incorporate as special cases various problems which have been studied extensively in the literature. Moreover, our new criteria, which improve and generalize some well known results, can be easily checked.