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All Journal Jambura Journal of Biomathematics (JJBM)
Menon, Gayathry Radhakrishnan
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Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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Mathematical Modeling on Human Papillomavirus (HPV): Transmission Dynamics and Impact on Cervical Cancer Jose, Sayooj Aby; Nelson, Stephen Patrick; Raja, Ramachandran; Menon, Gayathry Radhakrishnan; Jirawattanapanit, Anuwat
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 4: December 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i4.29641

Abstract

One of the most common diseases affecting women globally is cervical cancer, which contributes significantly to the global cancer burden. Its beginning is largely caused by the human papillomavirus (HPV), especially in young females, and a growing percentage of cases develop from benign tumors. The dynamics of HPV transmission and its influence on the development of cervical cancer are described in this study using a deterministic mathematical model. The fundamental characteristics of the model, such as positivity and boundedness, are carefully examined. Furthermore, the equilibrium points for endemic and disease-free conditions are determined, and their stability on a local and global scale is examined in relation to the basic reproduction number, R0. Furthermore, a detailed sensitivity analysis is conducted to identify the key parameters that most significantly influence the transmission dynamics and progression of the disease. Numerical simulations are performed to illustrate the impact of parameter variations and to validate the analytical findings. The results provide valuable insights for effective public health intervention and control strategies for HPV-related cervical cancer.
Co-Authors Jirawattanapanit, Anuwat Jose, Sayooj Aby Nelson, Stephen Patrick Raja, Ramachandran