| Volume 6, Number 3, 2016, Pages 893-906 DOI：10.11948/2016058 |
| Periodic solution of a higher dimensional ecological system |
| Yonghui Xia,Huicheng Wang,Kit Ian Kou,Zhaoping Hu |
| Keywords:Periodic solutions, asymptotic stability, feedback controls, Lyapunov function. |
| Abstract: |
| The main purpose of this article is to study the periodicity of a Lotka-Volterra's competition system with feedback controls. Some new and interesting sufficient conditions are obtained for the global existence of positive periodic solutions. Our method is base on combining matrix's spectral theory and inequality $|x(t)|\leq x(t_{0})+\int_{0}^{\omega }|\dot{x}(t)|{\rm d}t$. Some examples and their simulations show the feasibility of our main result. |
PDF Download reader
|
|
|
|