Oscillation analysis of numerical solutions for nonlinear delay differential equations of hematopoiesis with unimodal production rate

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摘要

This paper is concerned with oscillation and non-oscillation of numerical solutions for nonlinear delay differential equation of hematopoiesis with unimodal production rate. By investigating the roots of characteristic equation, some conditions under which the numerical solution is oscillatory and non-oscillatory are obtained. The properties of non-oscillatory numerical solutions are investigated. To verify our results, we give numerical experiments.

论文关键词:Oscillation,Numerical solution,Hematopoiesis,Delay differential equation

论文评审过程:Received 31 January 2015, Revised 11 April 2015, Accepted 17 April 2015, Available online 14 May 2015, Version of Record 14 May 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.04.062