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<p>Globally, the human papillomavirus is considered the most widespread sexually transmitted infection, with certain strains contributing to cervical cancer. In this work, we develop a compartmental model to examine HPV transmission dynamics, incorporating into account a two-dose vaccination regimen, loss of partial and full immunity, together with infection-induced cancer progression. We establish the existence and uniqueness, and the next-generation matrix technique is used to calculate the reproduction threshold <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(R_0\)</EquationSource> </InlineEquation>. The local stability of infection-free and the analysis of persistent infection are both analyzed using the Jacobian matrix. Furthermore, global stability was demonstrated by employing a Lyapunov function, showing that infection is eliminated from the population asymptotically for all initial conditions within the feasible region. Vaccination emerges from sensitivity analysis as a key driver in suppressing transmission. The model demonstrates that HPV transmission is significantly reduced under a two-dose vaccination strategy, resulting in a reproduction threshold of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(R_0=0.04\)</EquationSource> </InlineEquation>. The results present key model parameters and identify the controlling parameters, enabling policymakers to investigate various policy decisions aimed at controlling HPV.</p>

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Stability and sensitivity insights into two-dose HPV vaccination effects and cervical cancer

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Zakirullah

摘要

Globally, the human papillomavirus is considered the most widespread sexually transmitted infection, with certain strains contributing to cervical cancer. In this work, we develop a compartmental model to examine HPV transmission dynamics, incorporating into account a two-dose vaccination regimen, loss of partial and full immunity, together with infection-induced cancer progression. We establish the existence and uniqueness, and the next-generation matrix technique is used to calculate the reproduction threshold \(R_0\) . The local stability of infection-free and the analysis of persistent infection are both analyzed using the Jacobian matrix. Furthermore, global stability was demonstrated by employing a Lyapunov function, showing that infection is eliminated from the population asymptotically for all initial conditions within the feasible region. Vaccination emerges from sensitivity analysis as a key driver in suppressing transmission. The model demonstrates that HPV transmission is significantly reduced under a two-dose vaccination strategy, resulting in a reproduction threshold of \(R_0=0.04\) . The results present key model parameters and identify the controlling parameters, enabling policymakers to investigate various policy decisions aimed at controlling HPV.