Existence and Uniqueness of a Chemotaxis System Influenced by Cancer Cells

Gang Li¹, Hui Min Hu¹, Xi Chen¹ and Fei Da Jiang^1,

¹College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

Cite this paper:
Gang Li, Hui Min Hu, Xi Chen and Fei Da Jiang. Existence and Uniqueness of a Chemotaxis System Influenced by Cancer Cells. International Journal of Partial Differential Equations and Applications. 2020; 7(1):1-7. doi: 10.12691/ijpdea-7-1-1

Abstract

We present a mathematical analysis of a reaction-diffusion model in a bounded open domain which describes vascular endothelial growth factor(VEGF), endothelial cells and oxygen. We use the parabolic theory to prove the existence of the solution in the function space under the homogeneous Neumann conditions. Then we get the existence of nonnegative solution in by using the global Schauder estimation.

Keywords:
existence and uniqueness parabolic system chemotaxis system influenced by cancer

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