Bifurcation from stability to instability for a free boundary tumor model with angiogenesis
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Publication:1735347
DOI10.3934/dcds.2019105zbMath1414.35236OpenAlexW2910629181WikidataQ116009467 ScholiaQ116009467MaRDI QIDQ1735347
Zhengce Zhang, Bei Hu, Yaodan Huang
Publication date: 28 March 2019
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2019105
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Series solutions to PDEs (35C10) Cell biology (92C37) Free boundary problems for PDEs (35R35)
Related Items (11)
Linear Stability Analysis for a Free Boundary Problem Modeling Multilayer Tumor Growth with Time Delay ⋮ Linear stability analysis for the free boundary problem modeling tumor growth with angiogenesis in the presence of inhibitors ⋮ Analysis of a radial free boundary tumor model with time-dependent absorption efficiency ⋮ Mathematical analysis on a diffusion model describing the compatibility between two types of tumor cells ⋮ Bifurcation analysis of critical values for wound closure outcomes in wound healing experiments ⋮ Asymptotic stability for a free boundary tumor model with angiogenesis ⋮ Analysis of a nonlinear necrotic tumor model with two free boundaries ⋮ Linear stability for a periodic tumor angiogenesis model with free boundary ⋮ Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core ⋮ The impact of time delay and angiogenesis in a tumor model ⋮ Asymptotic stability for a free boundary tumor model with a periodic supply of external nutrients
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