Diffusive tumor-immune interaction systems under immunotherapy

被引：6
|
作者：
Ko, Wonlyul [1 ]
Ahn, Inkyung [1 ]
机构：
[1] Korea Univ, Dept Math, Jochiwon 339700, Chung Nam, South Korea
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 06期
关键词：
Tumor-immune interaction; Global attractor; Degree theory; Upper-lower solution; Periodic solutions; Coexistence states; MATHEMATICAL-MODEL; COMPETITION; EXISTENCE;
D O I：
10.1016/j.nonrwa.2011.05.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper addresses a diffusive tumor-immune system under immunotherapy. First, we examine the global attractor that indicates the large time behavior of the time-dependent system. The results indicate that extinction of the tumor cells could be eradicated as a result of the treatment effects. Second, we investigate the existence of positive periodic solutions for the time-dependent system by using topological degree theory. Finally, we determine the sufficient and necessary conditions for positive coexistence states. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3035 / 3045
页数：11
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