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

作者：Wang, Qi^*; Wen, Jiechang; Qiu, Shenshan; Guo, Cui

来源：Advances in Difference Equations, 2013, 2013(1): 163.

DOI：10.1186/1687-1847-2013-163

• nonlinear delay differential equations
• numerical solutions
• oscillations
• non-oscillations

In this paper, we consider the oscillations of numerical solutions for the nonlinear delay differential equations in a hematopoiesis model. Using two theta-methods, namely the linear theta-method and the one-leg theta-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.

• 出版日期2013
• 单位广东工业大学; 哈尔滨工程大学