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

被引：45
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.
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页码：597 / 603
页数：7
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