Exact Solutions to a Mathematical Model Representing Avascular Tumor Growth Via Exponential Function Method

Abstract

In this paper, conducted a study on avascular tumor growth of partial differential system. As has been suggested a modification of this mathematical model was proposed, then we found the exact solutions for this model based on the new exponential-function method Without the need to convert the system from partial differential equations to ordinary differential equations. The solution of the system provides us with the possibility to study the influence of parameters on the spread of disease and how to control and then eliminate it. The effect of parameters on the spread and growth of disease was studied, after obtaining a general formula for exact solutions for nonlinear system, and then studying the effect of increasing or decreasing these parameters and the effect of their absence on the disease growth.