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May  2009, 11(3): 613-627. doi: 10.3934/dcdsb.2009.11.613

Equilibria of a cyclin structured cell population model

Ricardo Borges 1, , Àngel Calsina 1, and  Sílvia Cuadrado 1,

1. 

Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain, Spain, Spain

Received  April 2008 Revised  October 2008 Published  March 2009

A nonlinear cyclin content structured cell population model is considered. The population is divided into two types of cells: proliferative and quiescent. Under suitable hypotheses, existence and uniqueness of a steady state of this model is proved by using positive linear semigroup theory.
Keywords: dominant eigenvalue., structured cell population, steady state.
Mathematics Subject Classification: Primary: 35P05, 92D25; Secondary: 47B65, 35F2.
Citation: Ricardo Borges, Àngel Calsina, Sílvia Cuadrado. Equilibria of a cyclin structured cell population model. Discrete & Continuous Dynamical Systems - B, 2009, 11 (3) : 613-627. doi: 10.3934/dcdsb.2009.11.613
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