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

Advances in Difference Equations

Zhijian Yao¹ 

[1] Department of Mathematics and Physics, Anhui Jianzhu University, Hefei, China

关键词: host-macroparasite model on time scales;    almost periodic solution;    exponential dichotomy;    contraction mapping;    global exponential stability;    34K14;    34K20;   

DOI  :  10.1186/s13662-015-0383-0

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY