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

DOI10.3934/dcdsb.2017213zbMath1403.35331OpenAlexW2753958268MaRDI QIDQ1756839

Fangwei Zhang, Shihe Xu, Meng Bai

Publication date: 27 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017213

zbMATH Keywords

stabilityasymptotic behaviortumor growthfree boundary problemglobal existence and uniqueness

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Free boundary problems for PDEs (35R35) General biology and biomathematics (92B05)

Related Items (4)

Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis ⋮ Analysis of a nonautonomous free boundary tumor model with infinite time delays ⋮ Qualitative analysis of a time-delayed free boundary problem for tumor growth with angiogenesis and Gibbs-Thomson relation ⋮ Analysis of a delayed free boundary problem with application to a model for tumor growth of angiogenesis

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