TITLE:
Existence and Uniqueness of Almost Periodic Solution for a Mathematical Model of Tumor Growth
AUTHORS:
Charles Bu
KEYWORDS:
Mathematical Model of Tumor Growth, Almost Periodic Solution, Robin Boundary Condition, Pullback Attractor, Non-Autonomous Dynamics
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.4,
April
6,
2022
ABSTRACT: This article is concerned with a mathematical model of tumor growth governed by 2nd order diffusion equation . The source of mitotic inhibitor is almost periodic and time-dependent within the tissue. The system is set up with the initial condition C(r, 0) = C0(r) and Robin type inhomogeneous boundary condition . Under certain conditions we show that there exists a unique solution for this model which is almost periodic.