Asymptotic stability of a mathematical model of cell population

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:415

Article

Negreanu, Mihaela¹  Ignacio Tello, J.² 

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

[2] EUI Univ Politecn Madrid, Dept Matemat Aplicada, Madrid 28031, Spain

关键词: Free boundary problem;    Stability;    Comparison method;    Asymptotic behavior;   

DOI  :  10.1016/j.jmaa.2014.02.032

来源: Elsevier

【 摘 要 】

We consider a simplified system of a growing colony of cells described as a free boundary problem. The system consists of two hyperbolic equations of first order coupled to an ODE to describe the behavior of the boundary. The system for cell populations includes non-local terms of integral type in the coefficients. By introducing a comparison with solutions of an ODE's system, we show that there exists a unique homogeneous steady state which is globally asymptotically stable for a range of parameters under the assumption of radially symmetric initial data. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free