| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 838931 | Nonlinear Analysis: Real World Applications | 2009 | 8 Pages |
Abstract
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.
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Authors
Shengmao Fu, Shangbin Cui,