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

页码：3035 / 3045

页数：11

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