Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 62731, 11 pages
Research Article

Global Attractivity of Positive Periodic Solutions of Delay Differential Equations with Feedback Control

Zhi-Long Jin

Department of Mathematics, School of Information Engineering, Lanzhou Commercial College, Lanzhou Gansu 730020, China

Received 8 August 2006; Accepted 26 November 2006

Copyright © 2007 Zhi-Long Jin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


By constructing suitable Liapunov functionals and estimating uniform upper and lower bounds of solutions, sufficient conditions are obtained for the global attractivity of positive periodic solutions of the delay differential system with feedback control dy/dt=y(t)F(t,y(tτ1(t)),,y(tτn(t)),u(tδ(t))), du/dt=η(t)u(t)+a(t)y(tσ(t)). When these results are applied to the periodic logistic equation with several delays and feedback control, some new results are obtained.