Hopf bifurcation in a solid avascular tumour growth model with two discrete delays

被引：44

作者：

Piotrowska, Monika Joanna ^{[1
,2
]}

机构：

[1] Warsaw Univ, Dept Math Informat & Mech, Inst Appl Math, PL-02097 Warsaw, Poland

[2] Univ Witten Herdecke, Inst Math, D-58448 Witten, Germany

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 47卷 / 5-6期

关键词：

solid avascular tumour; delays; stability; hopf bifurcation;

D O I：

10.1016/j.mcm.2007.02.030

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper the model of solid, avascular, uniformly proliferating tumour growth with two independent time delays is presented and analysed. The model considers two main cellular processes: proliferation and apoptosis. The aim of this paper is to investigate the influence of time delays on the Hopf bifurcation when one of delays is used as a bifurcation parameter. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：597 / 603

页数：7

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