eng Science and Education Publishing International Journal of Partial Differential Equations and Applications 2376-9556 2020-03-04 7 1 1 7 10.12691/ijpdea-7-1-1 IJPDEA2020711 article Gang Li 1 Hui Min Hu 1 Xi Chen 1 Fei Da Jiang jfd2001@163.com 1 College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China 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. http://pubs.sciepub.com/ijpdea/7/1/1/ijpdea-7-1-1.pdf existence and uniqueness parabolic system chemotaxis system influenced by cancer