Dynamical Study of Fractional Order Tumor Model

Abstract

In this paper, we have studied the fractional order model of tumor cells growth and their interactions with general immune effector cells, by using multi-step generalized differential transform method (MSGDTM). We discussed this nonlinear model because it differs from most others in the literature. It takes into account (i) the infiltration of the tumor by CTLs (cytotoxic T lymphocytes) and (ii) the possible effects of effector cell inactivation. The approximate solutions obtained by MSGDTM are highly accurate and valid for a longer period of time.