WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
Almost Periodic Solution for a Predator-Prey System with Impulses on Time Scales
Authors: ,
Abstract: This paper is concerned with a predator-prey system with impulses on time scales. Based on the theory of calculus on time scales and the properties of almost periodic functions as well as Razumikhin type theorem, sufficient conditions which guarantee the existence of a unique uniformly asymptotic stable almost periodic solution of the system are obtained, by the relation between the solutions of impulsive system and the corresponding non-impulsive system. Finally, an example and numerical simulations are presented to illustrate the feasibility and effectiveness of the results.