  We present a model analysis of the tumor and normal cell growth under the
influence of a carcinogenic agent, an immunomdulator (IM) and variable influx
of immune cells including relevant interactions. The tumor growth is
facilitated by carcinogens such as inorganic arsenic while the IM considered
here is black tea (Camellia sinesnsis). The model with variable influx of
immune cells is observed to have considerable advantage over the constant
influx model, and while the tumor cell population is greatly mitigated, normal
cell population remains above healthy levels. The evolution of normal and tumor
cells are computed from the proposed model and their local stabilities are
investigated analytically. Numerical simulations are performed to study the
long term dynamics and an estimation of the effects of various factors is made.
This helps in developing a balanced strategy for tumor mitigation without the
use of chemotherapeutic drugs that usually have strong side-effects.
