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.
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页码：627 / 643
页数：17
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