Stochastic responses of tumor-immune system with periodic treatment

作     者：李东喜 李颖 Dong-Xi Li;Ying Li;College of Data Science, Taiyuan University of Technology;College of Mathematics, Taiyuan University of Technology

作者机构：College of Data ScienceTaiyuan University of TechnologyTaiyuan 030024China College of MathematicsTaiyuan University of TechnologyTaiyuan 030024China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2017年第26卷第9期

页      面：25-32页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11402157 and 11571009) Shanxi Scholarship Council of China(Grant No.2015-032) Technological Innovation Programs of Higher Education Institutions in Shanxi,China(Grant No.2015121) Applied Basic Research Programs of Shanxi Province,China(Grant No.2016021013) 

主　　题：stochastic responses environmental noise tumor–immune system extinction 

摘      要：We investigate the stochastic responses of a tumor–immune system competition model with environmental noise and periodic treatment. Firstly, a mathematical model describing the interaction between tumor cells and immune system under external fluctuations and periodic treatment is established based on the stochastic differential equation. Then, sufficient conditions for extinction and persistence of the tumor cells are derived by constructing Lyapunov functions and Ito＇s formula. Finally, numerical simulations are introduced to illustrate and verify the results. The results of this work provide the theoretical basis for designing more effective and precise therapeutic strategies to eliminate cancer cells, especially for combining the immunotherapy and the traditional tools.