Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 936351, 9 pages
Research Article

Oscillations of Numerical Solutions for Nonlinear Delay Differential Equations in the Control of Erythropoiesis

School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China

Received 10 August 2012; Accepted 24 December 2012

Academic Editor: Vimal Singh

Copyright © 2013 Qi Wang and Jiechang Wen. 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.


We consider the oscillations of numerical solutions for the nonlinear delay differential equations in the control of erythropoiesis. The exponential -method is constructed and some conditions under which the numerical solutions oscillate are presented. Moreover, it is proven that every nonoscillatory numerical solution tends to the equilibrium point of the continuous system. Numerical examples are given to illustrate the main results.