二维趋化-趋触模型解的有界性

Boundedness in a Two-Dimensional Chemotaxis-Haptotaxis System

考虑一个刻画癌细胞浸润其周围正常组织的趋化-趋触模型,该模型由两个反应-扩散方程和一个常微分方程构成.运用单边逐点估计和耦合估计技巧,证明了该模型小数据整体古典解的有界性.

A chemotaxis-haptotaxis model for cancer cell invasion of neighboring tissue is considered. The model consists of two reaction-diffusion equations and an ordinary differential equation. By employing a one-sided pointwise estimate and coupled estimate techniques, it is shown that the model possesses a global and bounded classical solution whenever the initial data is appropriately small.