Mathematical study of the impact of vaccination on the dynamics of human papillomavirus infection using homotopy perturbation method

Abstract

This study presents a mathematical model to assess the impact of vaccination on the dynamics of human papillomavirus (HPV) infection. A compartmental model is developed to describe the transmission dynamics of HPV, incorporating vaccination as a control measure. The system of equations describing the transmission dynamics was obtained. The homotopy perturbation method (HPM) was applied to obtain the analytical solution of the model’s equations. Numerical simulations of the model solution were carried out, and graphical responses of the system were presented. Numerical simulations demonstrate the effectiveness of vaccination in reducing HPV prevalence. The results show that increasing the vaccination rate slows the rate of decline in the susceptible individual and leads to a substantial reduction in the number of infected individuals. For higher vaccination rates, the infection curve flattens significantly, showing the effectiveness of vaccination in curbing HPV spread. The results highlight the importance of optimal vaccination strategies in controlling HPV transmission. This study provides valuable insights for policymakers and public health officials in designing effective HPV vaccination programs, which helps to reduce the number of health problems and subsequent deaths attributed to the infection.