Abstract:
The Kirschner-Panetta (KP) model of cancer cell describes the interaction between
tumour cells, e ector cells and interleukin{2 which are clinically utilized as medical
treatment. The model selects a rich concept of immune-tumour dynamics. In This
thesis, we have proposed and analyzed a nonlinear mathematical model for the
study of interaction between tumor and immune system. The model is analyzed
using stability theory of di erential equations. The equilibrium points of the
system are investigated and their stability analysis is carried out. Moreover, the
numerical simulation of the model is also performed by using fourth order Runge-
Kutta method which supports the theoretical ndings. It is found that both
e ector cell and tumor cells. Hence tumor load can be eliminated with time if the
treatment terms increases.For certain conditions are satis ed. It is further found
that the system appears to exhibit periodic limit cycles and decreases the life of
tumor for some ranges of the system parameters.
