Rara Sandhy Winanda, Dina Agustina, Zilrahmi, Devni Prima Sari, Rahmawati
This study develops a mathematical model to explore cervical cancer progression under the influence of oncolytic virus therapy. Represented as a three-dimensional system of ordinary differential equations, the model examines interactions among uninfected cancer cells, virus-infected cancer cells, and the oncolytic virus population. We incorporate assumptions about therapy effectiveness and cancer malignancy to analyze equilibrium stability, the basic reproduction number, and bifurcation behavior. Our findings reveal four distinct equilibrium points: an unstable trivial steady state, an infection-free equilibrium stable under specific conditions, a benign-tumor equilibrium that stabilizes under certain criteria, and a complex equilibrium whose stability is analytically challenging to determine but shows visible shifts under bifurcation analysis. This model offers valuable insights into potential outcomes of oncolytic virus therapy, highlighting conditions that may determine therapeutic success or failure in combating cervical cancer. © 2026 Author(s).
Department of Mathematics, Universitas Negeri Padang, Padang, Indonesia; Data Analytics, Mathematical Modelling, and Forecasting Research Group, Padang, Indonesia; Universitas Islam Negeri Sultan Syarif Kasim Riau, Riau, Indonesia
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