Equilibria of a cyclin structured cell population model

Ricardo Borges; Àngel Calsina; Sílvia Cuadrado

doi:10.3934/dcdsb.2009.11.613

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2009, Volume 11, Issue 3: 613-627. Doi: 10.3934/dcdsb.2009.11.613

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Equilibria of a cyclin structured cell population model

1.
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona

Received: April 2008

Revised: October 2008

Published: May 2009

Abstract / Introduction Related Papers Cited by

Abstract

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.

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Mathematics Subject Classification: Primary: 35P05, 92D25; Secondary: 47B65, 35F20.

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