Numerical oscillations for first-order nonlinear delay differential equations in a hematopoiesis model

Advances in Difference Equations

Shenshan Qiu¹  Cui Guo²  Jiechang Wen³  Qi Wang³ 

[1] CSIB Software Technology Center, Guangzhou, China;College of Science, Harbin Engineering University, Harbin, China;School of Applied Mathematics, Guangdong University of Technology, Guangzhou, China

关键词: nonlinear delay differential equations;    numerical solutions;    oscillations;    non-oscillations;   

DOI  :  10.1186/1687-1847-2013-163

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the oscillations of numerical solutions for the nonlinear delay differential equations in a hematopoiesis model. Using two θ-methods, namely the linear θ-method and the one-leg θ-method, several conditions, under which the numerical solutions oscillate, are obtained. Moreover, it is proved that every non-oscillatory numerical solution tends to an equilibrium point of the original system. Some numerical experiments are provided to support the theoretical results. MSC:65L05, 65L20.

【 授权许可】

CC BY