Existence of positive periodic solution of a neutral impulsive delay predator-prey system

Sufficient conditions are obtained for the existence of periodic positive solution of the neutral impulsive delay predator-prey system. This is the first time that positive solution for impulsive delay predator-prey system is obtained by using the theory of coincidence degree. Our results in this paper indicate that under the appropriate linear periodic impulsive perturbations, the neutral impulsive delay predator-prey system preserves the original periodicity of the neutral nonimpulsive delay predator-prey system.