Author/Authors :
Xu, Shihe School of Mathematics and Statistics - Zhaoqing University - Zhaoqing - Guangdong, China , Wei, Xiangqing Teaching Research Administration of Guangrao County - Dongying - Shandong, China , Zhang, Fangwei Shanghai Maritime University - Shanghai, China
Abstract :
A time-delayed mathematical model for tumor growth with the effect of periodic therapy is studied. The establishment of the model
is based on the reaction-diffusion dynamics and mass conservation law and is considered with a time delay in cell proliferation
process. Sufficient conditions for the global stability of tumor free equilibrium are given. We also prove that if external concentration
of nutrients is large the tumor will not disappear and the conditions under which there exist periodic solutions to the model are
also determined. Results are illustrated by computer simulations.
