Mathematical Model Analysis of Cervical Cancer Disease with Immunotheraphy

Abstract

Cervical cancer is one type of disease that has the highest risk of death in the female population in Indonesia. Almost 95% of cervical cancer in women is caused by Human Papillomavirus (HPV) infection, which is common in women of reproductive age. In this study, a mathematical model is discussed for the case of the spread of the HPV virus to become pre-cancerous with immunotheraphy treatment. This research was conducted by building a mathematical model, analyzing the equilibrium point, and interpreting the mathematical model with numerical simulations using Maple software. This study divides the population into 5 sub-populations including susceptible (S), infected (I), precancer (P), and treatment (T) sub-populations. From the model formed, the disease-free equilibrium point and endemic equilibrium point are obtained as well as the basic reproduction number . The disease-free equilibrium point is locally asymptotically stable when  and the endemic equilibrium point is locally asymptotically stable when . Based on the results of numerical simulation analysis, it is obtained that the immunotheraphy treatment  is greatly affects on individual recovery.