Abstract:

Periodic solutions of a class of nonlinear functional differential system(FDS) are studied using the method of linearization. It shows that the periodic solution of the nonlinear FDS is exponentially stable, if the zero solution of the associated linear periodic linear homogeneous FDS is exponentially stable. We obtain the exponential stability of a class of periodic Lotka-Volterra type n-species competitive systems.

Key words: linearization; periodic solution; exponential stability