Existence and exponential stability of almost periodic positive solution for host-macroparasite difference model  

作　　者：Zhijian Yao 

机构地区：[1]Department of Mathematics and Physics Anhui University of Architecture Hefei, Anhui 230601, P. R. China

出　　处：《International Journal of Biomathematics》2016年第2期187-197,共11页生物数学学报（英文版）

基　　金：The author thanks the referees for their valuable comments and suggestions in improving the presentation of the manuscript. This work is supported by Natural Science Foundation of Education Department of Anhui Province （KJ2014A043）.

摘　　要：This paper is concerned with a host-macroparasite difference model. By applying the con- traction mapping fixed point theorem, we prove the existence of unique almost periodic positive solution. Moreover, we investigate the exponential stability of Mmost periodic solution by means of Lyapunov functional.

关 键 词：Host-macroparasite difference model almost periodic solution exponential stability contraction mapping. 

分 类 号：O175.2[理学—数学] TP183[理学—基础数学]