血细胞生成模型的数值振动性分析  

Numerical oscillation analysis of blood cell production model

作　　者：王琦[1] 刘子婷 WANG Qi;LIU Ziting(School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China)

机构地区：[1]广东工业大学应用数学学院,广东广州510006

出　　处：《安徽大学学报（自然科学版）》2021年第1期1-6,共6页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61803095,11201084);广东省自然科学基金资助项目(2017A030313031)。

摘　　要：考虑一个描述血细胞生成模型的非线性延迟微分方程的数值振动性,建立了一些数值解振动的条件,证明了每一个非振动的数值解都趋近于原方程的唯一正平衡点.为了验证理论结果,给出了几个数值例子.论文的结论在数值方面推广了文献中已有的结果.This paper considered the numerical oscillation for the nonlinear delay differential equation which was used to describe a blood cell production model.Several conditions under which the numerical solution oscillates were derived.It was proven that the non-oscillatory numerical solution approached to the unique positive equilibrium of the original equation.Numerical examples were given to test the theoretical results.The conclusions of this paper extended the former ones in numerical aspect.

关 键 词：非线性延迟微分方程 数值解 振动性 渐近行为 

分 类 号：O241[理学—计算数学]