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

作     者：Zhijian Yao 

作者机构：Department of Mathematics and Physics Anhui University of Architecture Hefei Anhui 230601 P. R. China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2016年第9卷第2期

页      面：187-197页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 081104[工学-模式识别与智能系统] 08[工学] 070104[理学-应用数学] 0835[工学-软件工程] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

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) 

主　　题：指数稳定性 概周期正解 Lyapunov泛函方法 模型 主机 正解的存在性 不动点定理 周期解 

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