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

摘要

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.