A MATHEMATICAL MODEL OF HUMAN PAPILOMAVIRUS (HPV) WITH VACCINATION AND ITS IMPACT ON CERVICAL CANCER
Maria A.V. Machado, Maria Lobo
Universitas Nusa Cendana
Abstract
Human Papiloma Virus (HPV) is one of the viruses that can cause cervical cancer. However, vaccination can prevent such virus. The spread of the virus on cervical cancer can be modeled in SI model, however such model has not produced accurate result. The development and extension of the model into S1S2IRC with S1 denotes the population age 0 – 10 years and S2 represent the population over 10 years which is susceptible to HPV infection. The results produces a disease free and endemic equilibrium points. The analysis on the equilibrium points yields that the disease free equilibrium point will be asymptotically stable for R0 < 1 and R0 > 1 for endemic equilibrium point. The results indicate that the bigger the probablity of human prone to the HPV virus the bigger the chance of these individuals be infected by the virus. Therefore vaccination is required to protect the virus infection.
Keywords: Mathematical Model, HPV, Cervical Cancer
Topic: SCIENCE EDUCATION