Versal deformation and static bifurcation diagrams for the cancer cell population model

DOI10.1090/S0033-569X-09-01169-XzbMath1187.37073MaRDI QIDQ5306397

Ileana Rodica Nicola, Vladimir Balan

Publication date: 9 April 2010

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/journals/qam/2009-67-04/S0033-569X-09-01169-X/home.html

zbMATH Keywords

normal formversal deformationnullclinestransient setproliferating cell populationhysteresis setstatic bifurcation diagramquiescent cell population

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcations and instability for nonlinear problems in mechanics (70K50) Population dynamics (general) (92D25) Bifurcations of singular points in dynamical systems (37G10) Cell biology (92C37) Dynamical aspects of attractors and their bifurcations (37G35)

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• THE STATIC BIFURCATION DIAGRAM FOR THE GRAY–SCOTT MODEL
• Unnamed Item

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