Existence of solutions and optimal control for a model of tissue invasion by solid tumours

被引：31
作者：
de Araujo, Anderson L. A. [1 ]
de Magalhaes, Paulo M. D. [2 ]
机构：
[1] Univ Fed Vicosa, Dept Matemat, Vicosa, MG, Brazil
[2] Univ Fed Ouro Preto, Dept Matemat, Ouro Preto, MG, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 421卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Fixed point theorem; Optimal control; Tumour invasion of tissue; MATHEMATICAL-MODEL;
D O I：
10.1016/j.jmaa.2014.07.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the distributed optimal control problem for the two-dimensional mathematical model of cancer invasion. Existence of optimal state-control and stability is proved and an optimality system is derived. (c) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：842 / 877
页数：36
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