Numerical Solution of Logistic Diffusion Equation and Competing Species Analysis of Tumor Growth

The present Chapter deals with two models for the analysis of tumor growth one is competing species system and other logistic diffusion equation system. A simple model of tumor describes the growth of two populations, each growing according to a logistic law and competiting with each other. In this model we lump together all non-tumor cells which are at tumor site, including normal tissue as well as immune cells. Here immune cells source do not assume constant. Another model which is based on logistic diffusion system is considered. We have studied the numerical solutions for tumor cell density for constant and timedependent growth rate. Graphical representation for the solution has been also illustrated.