BOUNDEDNESS OF SOLUTIONS TO A QUASILINEAR HIGHER-DIMENSIONAL CHEMOTAXIS HAPTOTAXIS MODEL WITH NONLINEAR DIFFUSION

被引：25

作者：

Zheng, Jiashan ^{[1
]}

机构：

[1] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Boundedness; chemotaxis-haptotaxis; global existence; logistic source; CLASSICAL-SOLUTIONS; GLOBAL EXISTENCE; CANCER INVASION; BLOW-UP; SYSTEM; TISSUE;

D O I：

10.3934/dcds.2017026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the Neumann problem for the coupled quasi linear chemotaxis haptotaxis model of cancer invasion given by [GRAPHICS] where the parameter m >= 1 and R-N (N >= 2) is a bounded domain with smooth boundary. If m > 2N/N+2,then for any sufficiently smooth initial data there exists a classical solution which is global in time and bounded. The results of this paper partly extend previous results of several authors.

引用

页码：627 / 643

页数：17

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