Existence and global exponential stability of an almost periodic solution for a host-macroparasite equation on time scales

摘要

This paper deals with almost periodicity of a host-macroparasite model on time scales. By applying the contraction mapping fixed point theorem and exponential dichotomy, we establish sufficient conditions for the existence of a unique almost periodic positive solution. Moreover, we investigate global exponential stability of the almost periodic positive solution by means of the Gronwall inequality.