Existence and Uniqueness of Almost Periodic Solution for a Mathematical Model of Tumor Growth - Journal of Applied Mathematics and Physics

JAMP > Vol.10 No.4, April 2022

Journal of Applied Mathematics and Physics

Volume 10, Issue 4 (April 2022)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

Existence and Uniqueness of Almost Periodic Solution for a Mathematical Model of Tumor Growth ()

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DOI: 10.4236/jamp.2022.104068 96 Downloads 439 Views Citations

Author(s)

Charles Bu

Affiliation(s)

Department of Mathematics, Wellesley College, Wellesley, MA, USA.

ABSTRACT

This article is concerned with a mathematical model of tumor growth governed by 2^nd 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.

KEYWORDS

Mathematical Model of Tumor Growth, Almost Periodic Solution, Robin Boundary Condition, Pullback Attractor, Non-Autonomous Dynamics

Share and Cite:

Bu, C. (2022) Existence and Uniqueness of Almost Periodic Solution for a Mathematical Model of Tumor Growth. Journal of Applied Mathematics and Physics, 10, 1013-1018. doi: 10.4236/jamp.2022.104068.

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