Almost periodic solution for a delayed Lotka-Volterra system on time scales

Advances in Difference Equations

Yongzhi Liao¹  Lijun Xu¹ 

[1] School of Mathematics and Computer Science, Panzhihua University, Panzhihua, China

关键词: almost periodic solution;    Lotka-Volterra;    monotone operator;    time scales;   

DOI  :  10.1186/1687-1847-2014-96

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with a delayed Lotka-Volterra system on time scales. By using the theory of exponential dichotomy on time scales and fixed point theory based on monotone operator, some simple conditions are obtained for the existence and uniqueness of positive almost periodic solution of the system. Further, by means of the theory of calculus on time scales and Lyapunov functional, the global attractivity of the almost periodic solution is also investigated. The main results in this paper improve and extend the previously known results. Finally, some examples are given to illustrate the feasibility and effectiveness of the main result. MSC:34K14, 34K20, 34N05, 92D25.

【 授权许可】

CC BY