Abstract:
In this thesis a mathematical model is presented that describes growth, immune escape
and treatment of tumors. The model consists of a system of non-linear ordinary differential
equations describing tumor cells and immune effectors, as well as the immune-stimulatory
and suppressive cytokines IL-2 and TGF-
. In this research work, we design a mathematical
model in which we want to investigate the effect of parameters on the model. Again we also
investigate the existence, positivity, boundedness of the solutions and stability of the
equilibrium points and evaluate the conditions at which the tumor cells will occur and persist
using the parameters whether the disease becomes persistent or die out depending on the
basic parameters of the model.
