Hopf bifurcation of a mathematical model for growth of tumors with an action of inhibitor and two time delays

DOI10.1155/2011/980686zbMath1218.92049OpenAlexW2095370166WikidataQ58654589 ScholiaQ58654589MaRDI QIDQ536005

Bao Shi, Fangwei Zhang, Shihe Xu

Publication date: 16 May 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231583

zbMATH Keywords

delayHopf bifurcation

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Bifurcations in context of PDEs (35B32)

Related Items (2)

Hopf bifurcation of a free boundary problem modeling tumor growth with angiogenesis and two time delays ⋮ The time delays' effects on the qualitative behavior of an economic growth model

Cites Work

• Unnamed Item
• Hopf bifurcation of a free boundary problem modeling tumor growth with two time delays
• Time delay in necrotic core formation
• A remark on the ODE with two discrete delays
• Modelling the internalization of labelled cells in tumour spheroids
• Hopf bifurcation in a solid avascular tumour growth model with two discrete delays
• Analysis of tumor growth under direct effect of inhibitors with time delays in proliferation
• Theory of functional differential equations. 2nd ed
• Analysis of a mathematical model for the growth of tumors
• Stability and bifurcation in delay-differential equations with two delays
• The effect of time delays on the dynamics of avascular tumor growth
• Time delays in proliferation process for solid avascular tumour
• Analysis of a mathematical model of the effect of inhibitors on the growth of tumors
• The nonnegativity of solutions to delay differential equations
• Analysis of a mathematical model for the growth of tumors under the action of external inhibitors
• Growth of necrotic tumors in the presence and absence of inhibitors
• Growth of nonnecrotic tumors in the presence and absence of inhibitors
• Analysis of mathematical models for the growth of tumors with time delays in cell proliferation
• Models for the Growth of a Solid Tumor by Diffusion
• Analysis of a mathematical model of the growth of necrotic tumors

This page was built for publication: Hopf bifurcation of a mathematical model for growth of tumors with an action of inhibitor and two time delays