Time delays in proliferation process for solid avascular tumor under the action of external inhibitors  

作　　者：Shihe Xu Meng Bai 

机构地区：[1]School of Mathematics and Statistics, Zhaoqing University Zhaoqing 526061, P. R. China

出　　处：《International Journal of Biomathematics》2015年第2期77-89,共13页生物数学学报（英文版）

摘　　要：In this paper a delayed mathematical model for tumor growth under the action of external inhibitors is studied. The delay represents the time taken for cells to undergo mitosis. External inhibitor means that an inhibitor is either developed from the immune system of the body or administered by medical treatment to distinguish with that secreted by tumor itself. Non-negativity of solutions is studied. Local and global stabilities of the stationary solutions are proved for some parameter values. The analysis of the effect of inhibitor＇s parameters on tumor＇s growth is presented. The results show that dynamical behavior of solutions of this model is similar to that of solutions for corresponding nondelayed model for some parameter values.

关 键 词：Tumor growth INHIBITORS time delay local stability global stability. 

分 类 号：O643.36[理学—物理化学] TP273[理学—化学]