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All Journal Unnes Journal of Mathematics
Eliya Ijtihadiyatun Fisabila
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Education Mathematics

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Mathematical Model Analysis of Cervical Cancer Disease with Immunotheraphy Eliya Ijtihadiyatun Fisabila; St. Budi Waluya
Unnes Journal of Mathematics Vol. 14 No. 1 (2025): Unnes Journal of Mathematics Volume 1, 2025
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v14i1.10717

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.
Co-Authors St. Budi Waluya