Permanence and almost periodic solution of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales

Advances in Difference Equations

Yongkun Li¹  Pan Wang² 

[1] Department of Mathematics, Yunnan University, Kunming, People’s Republic of China

关键词: permanence;    almost periodic solution;    mutualism system;    time delay;    time scale;   

DOI  :  10.1186/s13662-015-0573-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the almost periodic dynamics of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales. By establishing some dynamic inequalities on time scales, a permanence result for the model is obtained. Furthermore, by means of the almost periodic functional hull theory on time scales and Lyapunov functional, some criteria are obtained for the existence, uniqueness and global attractivity of almost periodic solutions of the model. Our results complement and extend some scientific work in recent years. Finally, an example is given to illustrate the main results.

【 授权许可】

CC BY