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.
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页数：15
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