Asymptotic stability of a mathematical model of cell population

被引：0
|
作者：
Negreanu, Mihaela [1 ]
Ignacio Tello, J. [2 ]
机构：
[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain
[2] EUI Univ Politecn Madrid, Dept Matemat Aplicada, Madrid 28031, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 415卷 / 02期
关键词：
Free boundary problem; Stability; Comparison method; Asymptotic behavior; REACTION-DIFFUSION SYSTEMS; CHEMOTAXIS; CANCER;
D O I：
10.1016/j.jmaa.2014.02.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：963 / 971
页数：9
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