Dynamics of a tumor-immune model considering targeted chemotherapy

被引：20
|
作者：
Liu, Peng [1 ,2 ]
Liu, Xijun [1 ,2 ]
机构：
[1] Tianjin Univ, Dept Mech, Tianjin 300354, Peoples R China
[2] Tianjin Key Lab Nonlinear Dynam & Chaos Control, Tianjin 300072, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2017年 / 98卷
基金：
中国国家自然科学基金;
关键词：
Tumor-immune model; Chemotherapy; Stability; Bifurcation analysis; VALIDATED MATHEMATICAL-MODEL; CANCER-THERAPY; IMMUNOTHERAPY; SYSTEM; INHIBITORS; GROWTH;
D O I：
10.1016/j.chaos.2017.03.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Considering the targeted chemotherapy, a mathematical model of tumor-immune system was constructed on the basis of de Pillis's model. In this paper, we conducted qualitative analysis on the mathematical model, including the positivity and boundedness of solutions, local stability and global stability of equilibrium solutions. Some numerical simulations were given to illustrate the analytic results. Comparing the targeted chemotherapy model with regular chemotherapy model, we found that the targeted chemotherapy was benefit to kill tumor cells. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：7 / 13
页数：7
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