带 Dirichlet 边界条件的延迟扩散造血模型的数值分叉

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-07-30 DOI:10.1007/s11253-024-02314-x

Xueyang Liu, Qi Wang

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引用次数: 0

摘要

通过使用非标准有限差分方案，研究了具有 Dirichlet 边界条件的延迟扩散造血模型的数值分岔。我们证明，随着时间延迟的增加，一系列数值 Neimark- Sacker 分岔出现在正平衡处。同时，我们还提出了在正平衡点存在数值 Neimark-Sacker 分岔的参数条件。最后，我们列举了几个实例来验证累积结果的准确性。

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Numerical Bifurcation of a Delayed Diffusive Hematopoiesis Model with Dirichlet Boundary Conditions

Numerical bifurcation of a delayed diffusive hematopoiesis model with Dirichlet boundary condition is studied by using a nonstandard finite-difference scheme. We prove that a series of numerical Neimark– Sacker bifurcations appears at the positive equilibrium as the time delay increases. At the same time, the parameter conditions for the existence of numerical Neimark–Sacker bifurcations at the point of positive equilibrium are presented. Finally, we present several examples to verify the accuracy of the accumulated results.

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.