Author: Xu Shihe
Publisher: Taylor & Francis Ltd
ISSN: 0003-6811
Source: Applicable Analysis, Vol.92, Iss.4, 2013-04, pp. : 703-717
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
In this article, we study the fully non-stationary version of a mathematical model for tumour growth under indirect effect of inhibitor with time delay in proliferation. The quasi-stationary version has been studied by our previous work [S. Xu and Z. Feng, Analysis of a mathematical model for tumour growth under indirect effect of inhibitors with time delay in proliferation, J. Math. Anal. Appl. 374 (2011), pp. 178-186]. The existence and uniqueness of a global solution are proved and the asymptotic behaviour of the solution is studied. The results show that the dynamical behaviour of solutions of the fully non-stationary and the quasi-stationary version are similar under some conditions.
Related content
Analysis of mathematical model of leukemia
ITM Web of conferences, Vol. 4, Iss. issue, 2015-05 ,pp. :
On the growth and dissemination laws in a mathematical model of metastatic growth
ITM Web of conferences, Vol. 5, Iss. issue, 2015-12 ,pp. :