Analysis of a time-delayed mathematical model for tumour growth with an almost periodic supply of external nutrients

Journal of Biological Dynamics

Fangwei Zhang¹  Shihe Xu²  Meng Bai² 

[1] College of Transport and Communications, Shanghai Maritime University;School of Mathematics and Statistics, Zhaoqing University;

关键词: Tumour growth;    almost periodic solution;    existence and uniqueness;    exponential stability;   

DOI  :  10.1080/17513758.2017.1386804

来源: DOAJ

【 摘 要 】

In this paper, the existence, uniqueness and exponential stability of almost periodic solutions for a mathematical model of tumour growth are studied. The establishment of the model is based on the reaction–diffusion dynamics and mass conservation law and is considered with a delay in the cell proliferation process. Using a fixed-point theorem in cones, the existence and uniqueness of almost periodic solutions for different parameter values of the model is proved. Moreover, by the Gronwall inequality, sufficient conditions are established for the exponential stability of the unique almost periodic solution. Results are illustrated by computer simulations.

【 授权许可】

Unknown