Global existence and stability of solution of a reaction-diffusion model for cancer invasion

被引：14

作者：

Fu, Shengmao ^{[1
]}

Cui, Shangbin ^{[2
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 03期

关键词：

Model of cancer invasion; Global existence; Stability; Lyapunov function; KAWASAKI-TERAMOTO MODEL; CROSS-DIFFUSION;

D O I：

10.1016/j.nonrwa.2008.01.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a mathematical model of cancer invasion proposed by Gatenby and Gawlinski. The model is a strongly coupled degenerate reaction-diffusion system. Very few mathematical results are known for this system. We investigate the global existence of classical solutions for the system by using energy estimates and the bootstrap arguments, and global asymptotic stability of equilibrium points of the system by Lyapunov functions. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1362 / 1369

页数：8

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