On the periodic solutions of periodic multi-species competitive systems with delays

摘要

The paper considers general n-species periodic Kolmogorov competitive systems of functional differential equations with finite or infinite delays. Applying Schauder's fixed point theorem, a criterion on the existence of the positive periodic solutions is established. As applications the existence and global asymptotic stability of the single-species Logistic periodic model and n-species Lotka–Volterra type periodic model with delays are discussed.