Qualitative Analysis Of Vascular Tumor Growth Model

This paper studies the mathematical model of two expressions for the partial differential equation of vascular tumor growth, proved the existence and uniqueness of global solution.The first chapter is the introduction, we mainly introduces the research background of the topic, the research status of the topic and the introduction of some of the symbols and the lemma.In the second chapter, we study a mathematical model of a retinal vascular tumor. The model includes several Reaction diffusion equations and ordinary differential equations. In the paper, we first discuss the classification of the model, then applying Holder-estimate and Banach Fixed Point Theorem, we prove the problem exists a local solution under special conditions. In the end, we prove that the local solution is global under special conditions by extension method.In the third chapter, we study a mathematical model of a vascular tumor. The model includes several Reaction diffusion equations and ordinary differential equations. Applying Lp-estimate and Banach Fixed Point Theorem, we prove the problem exists a local solution. In the end, we prove that the local solution is global by extension method.