Bifurcation analysis for a free-boundary tumor model with angiogenesis and inhibitor

Boundary Value Problems

Zejia Wang¹  Huijuan Song¹  Suzhen Xu¹ 

[1] College of Mathematics and Information Science, Jiangxi Normal University;

关键词: Free-boundary problem;    Stationary solution;    Bifurcation;    Symmetry-breaking;    Tumor growth;   

DOI  :  10.1186/s13661-018-1014-y

来源: DOAJ

【 摘 要 】

Abstract This paper is concerned with the bifurcation phenomenon of a free-boundary problem modeling the tumor growth under the action of angiogenesis and inhibitor. Taking the surface tension coefficient γ as a bifurcation parameter, we prove that there exist a positive integer m∗∗ $m^{**}$ and a sequence of γm $\gamma_{m}$ such that, for every γm $\gamma_{m}$ ( m>m∗∗ $m>m^{**}$), symmetry-breaking stationary solutions bifurcate from the radially symmetric stationary solutions.

【 授权许可】

Unknown