Existence and exponential stability of the unique positive almost periodic solution for the Lasota-Wazewska difference model

Advances in Difference Equations

Zhijian Yao¹ 

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

关键词: discrete Lasota-Wazewska model;    almost periodic solution;    uniqueness;    exponential stability;    fixed point theorem of decreasing operator;   

DOI  :  10.1186/1687-1847-2014-206

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a discrete Lasota-Wazewska model is studied. By using the fixed point theorem of decreasing operator, we obtain sufficient conditions for the existence of a unique positive almost periodic solution. Particularly, we give iterative sequence which converges to the positive almost periodic solution. Moreover, we investigate exponential stability of the positive almost periodic solution by the Lyapunov functional. MSC:39A24, 39A30.

【 授权许可】

CC BY