Hopf bifurcation of a free boundary problem modeling tumor growth with angiogenesis and two time delays

被引：6

作者：

Zhou, Haihua ^{[1
]}

Wang, Zejia ^{[1
]}

Yuan, Daming ^{[1
]}

Song, Huijuan ^{[1
]}

机构：

[1] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 153卷

基金：

中国国家自然科学基金;

关键词：

Tumor model; Free boundary problem; Angiogenesis; Time delay; Hopf bifurcation; MATHEMATICAL-MODEL; ABSENCE;

D O I：

10.1016/j.chaos.2021.111578

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns a free boundary problem modeling tumor growth with angiogenesis and two time delays. The two delays represent the time taken for cells to undergo mitosis and modify the rate of cell loss because of apoptosis, respectively. We study the stability of stationary solutions and find that Hopf bifurcation occurs under some conditions, which extends the results of Xu. Furthermore, numerical simulations are performed to investigate the relationship among the rate of angiogenesis, two time delays and Hopf bifurcation. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：5

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