Analysis of a mathematical model for tumor growth under indirect effect of inhibitors with time delay in proliferation

DOI10.1016/J.JMAA.2010.08.043zbMath1203.35036OpenAlexW2029527142MaRDI QIDQ601315

Zhaoyong Feng, Shihe Xu

Publication date: 4 November 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.043

zbMATH Keywords

global stabilitylocal stabilityHopf bifurcation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Partial functional-differential equations (35R10) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (17)

Analysis of a time-delayed free boundary problem for solid tumor growth with angiogenesis and direct influence of inhibitors ⋮ Analysis of a free boundary problem for tumor growth in a periodic external environment ⋮ Linear Stability Analysis for a Free Boundary Problem Modeling Multilayer Tumor Growth with Time Delay ⋮ Symmetry-breaking bifurcation for a free-boundary tumor model with time delay ⋮ The linear stability for a free boundary problem modeling multilayer tumor growth with time delay ⋮ Tumor Growth in the Fractal Space-Time with Temporal Density ⋮ Fractional variational problems depending on indefinite integrals and with delay ⋮ Stability of solutions to a free boundary problem for tumor growth ⋮ Analysis of a tumor model free boundary problem with action of an inhibitor and nonlinear boundary conditions ⋮ Analysis of a time-delayed mathematical model for tumour growth with inhibitors ⋮ Analysis of a free boundary problem modeling the growth of nonnecrotic tumors with time delays in proliferation ⋮ Qualitative analysis of a time-delayed free boundary problem for tumor growth under the action of external inhibitors ⋮ The impact of time delay in a tumor model ⋮ Time delays in proliferation process for solid avascular tumor under the action of external inhibitors ⋮ The impact of time delay and angiogenesis in a tumor model ⋮ A three-dimensional angiogenesis model with time-delay ⋮ A new study on delay fractional variational problems

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