Modeling and Simulation of Tumor Growth with Stability Analysis

In this work, tumor development is investigated through a dynamical systems approach. The model incorporates tumor cells, Natural Killer (NK) cells, dendritic cells, CD8+T cells, and circulating lymphocytes. The framework is expressed as a nonlinear system of ordinary differential equations, which is solved using the finite difference method (FDM). In addition, stability of the system is analyzed for two distinct cases: the equilibrium points without therapies and the equilibrium points under therapies.