Global existence of classical solutions to a chemotaxis-haptotaxis model

被引：1

作者：

Takhirov, Jozil ^{[1
]}

机构：

[1] 81 Mirzo Ulugbek Str, Tashkent 100170, Uzbekistan

来源：

PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2021年 / 2卷 / 01期

关键词：

Chemotaxis; Haptotaxis; Nonlinear diffusion; Boundedness; Global existence; COLLECTIVE CELL-MIGRATION; MATHEMATICAL-MODEL; CANCER INVASION; TUMOR INVASION; GROWTH; TISSUE; SYSTEM; PLASTICITY; DIFFUSION;

D O I：

10.1007/s42985-021-00069-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a chemotaxis-haptotaxis model of cancer invasion of tissue. The model consists of three parabolic chemotaxis-haptotaxis PDEs describing interactions between cancer cells, matrix degrading enzymes and the host tissue. We prove the global existence and uniform boundedness in this competition system by some delicate a priori estimate techniques.

引用

页数：15

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