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

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.111578 ◽

2021 ◽

Vol 153 ◽

pp. 111578

Author(s):

Haihua Zhou ◽

Zejia Wang ◽

Daming Yuan ◽

Huijuan Song

Keyword(s):

Hopf Bifurcation ◽

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Free Boundary Problem ◽

Time Delays ◽

Problem Modeling ◽

A Free Boundary Problem

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

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2008.09.029 ◽

2009 ◽

Vol 41 (5) ◽

pp. 2491-2494 ◽

Author(s):

Shihe Xu

Keyword(s):

Hopf Bifurcation ◽

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Free Boundary Problem ◽

Time Delays ◽

Problem Modeling ◽

A Free Boundary Problem

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A qualitative analysis of a free boundary problem modeling tumor growth with angiogenesis

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.10.004 ◽

2019 ◽

Vol 47 ◽

pp. 106-126 ◽

Author(s):

Haishuang Shen ◽

Xuemei Wei

Keyword(s):

Free Boundary ◽

Tumor Growth ◽

Qualitative Analysis ◽

Boundary Problem ◽

Free Boundary Problem ◽

Problem Modeling ◽

A Free Boundary Problem

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Asymptotic behavior of solutions of a free boundary problem modeling multi-layer tumor growth in presence of inhibitor

Acta Mathematica Sinica English Series ◽

10.1007/s10114-011-8361-2 ◽

2011 ◽

Vol 27 (8) ◽

pp. 1621-1636

Author(s):

Xiu Mei Hou

Keyword(s):

Asymptotic Behavior ◽

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Free Boundary Problem ◽

Asymptotic Behavior Of Solutions ◽

Problem Modeling ◽

A Free Boundary Problem

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Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.04.034 ◽

2007 ◽

Vol 327 (1) ◽

pp. 643-664 ◽

Author(s):

Avner Friedman ◽

Bei Hu

Keyword(s):

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Stokes Equation ◽

Free Boundary Problem ◽

Problem Modeling ◽

A Free Boundary Problem

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A free boundary problem modeling tumor growth with different chemotactic responses and random motions for various cell types

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.09.013 ◽

2013 ◽

Vol 398 (2) ◽

pp. 534-541 ◽

Author(s):

Na Zhang ◽

Youshan Tao

Keyword(s):

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Free Boundary Problem ◽

Problem Modeling ◽

Random Motions ◽

A Free Boundary Problem

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Bifurcation for a free boundary problem modeling tumor growth with inhibitors

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2014.03.001 ◽

2014 ◽

Vol 19 ◽

pp. 45-53 ◽

Author(s):

Zejia Wang

Keyword(s):

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Free Boundary Problem ◽

Problem Modeling ◽

A Free Boundary Problem

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Analysis of a free boundary problem modeling the growth of nonnecrotic tumors with time delays in proliferation

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.01.004 ◽

2011 ◽

Vol 12 (4) ◽

pp. 2225-2231 ◽

Author(s):

Shihe Xu

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Time Delays ◽

Problem Modeling ◽

A Free Boundary Problem

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Boundary element method for a free boundary problem modeling three dimensional tumor growth

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.02.003 ◽

2017 ◽

Vol 73 (7) ◽

pp. 1627-1641 ◽

Author(s):

Yarong Zhang ◽

Yinnian He ◽

Hongbin Chen

Keyword(s):

Boundary Element Method ◽

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Boundary Element ◽

Free Boundary Problem ◽

Three Dimensional ◽

Problem Modeling ◽

A Free Boundary Problem ◽

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Analysis of a free boundary problem for tumor growth with Gibbs-Thomson relation and time delays

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2017213 ◽

2018 ◽

Vol 23 (9) ◽

pp. 3535-3551 ◽

Author(s):

Shihe Xu ◽

◽

Meng Bai ◽

Fangwei Zhang ◽

Keyword(s):

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Free Boundary Problem ◽

Time Delays ◽

A Free Boundary Problem

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Bifurcation analysis for a free boundary problem modeling tumor growth

Archiv der Mathematik ◽

10.1007/s00013-011-0276-8 ◽

2011 ◽

Vol 97 (1) ◽

pp. 79-90 ◽

Author(s):

Joachim Escher ◽

Anca-Voichita Matioc

Keyword(s):

Free Boundary ◽

Tumor Growth ◽

Boundary Problem ◽

Free Boundary Problem ◽

Bifurcation Analysis ◽

Problem Modeling ◽

A Free Boundary Problem

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