Asymptotic behavior of a nonlinear necrotic tumor model with a periodic external nutrient supply

DOI10.3934/DCDSB.2020018zbMath1442.35483OpenAlexW2993107867WikidataQ126571746 ScholiaQ126571746MaRDI QIDQ2183690

Shihe Xu, Junde Wu

Publication date: 27 May 2020

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.2020018

zbMATH Keywords

stabilityfree boundary problemperiodic solutionnecrotic tumor

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Cell biology (92C37) Free boundary problems for PDEs (35R35) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

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 ⋮ Multi-layered tumor cell cultures with almost periodic nutrient supply ⋮ Linear stability for a periodic tumor angiogenesis model with free boundary ⋮ Analysis of a nonlinear free-boundary tumor model with angiogenesis and a connection between the nonnecrotic and necrotic phases ⋮ Analysis of the growth of a radial tumor with triple-layered structure ⋮ A parabolic-hyperbolic system modeling the tumor growth with angiogenesis ⋮ Asymptotic stability for a free boundary tumor model with a periodic supply of external nutrients

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