Periodicity and asymptotic stability of a predatorprey system with infinite delays ?
By using a fixed point theorem and Lyapunov functional, an especially easily checked criterion is obtained for the global existence and global asymptotic stability of positive periodic solutions of a periodic predatorprey system with infinite delays. Moreover, the global existence theorem is also sufficient and necessary. This result improves and generalizes noticeably some known results.
asymptotic stability predatorprey system periodic solution