Computational modeling of human papillomavirus with impulsive vaccination

Hailay Weldegiorgis Berhe, Mo’tassem Al-arydah

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


In this study, a new SIVS epidemic model for human papillomavirus (HPV) is proposed. The global dynamics of the proposed model are analyzed under pulse vaccination for the susceptible unvaccinated females and males. The threshold value for the disease-free periodic solution is obtained using the comparison theory for ordinary differential equations. It is demonstrated that the disease-free periodic solution is globally stable if the reproduction number is less than unity under some defined parameters. Moreover, we found the critical value of the pulse vaccination for susceptible females needed to control the HPV. The uniform persistence of the disease for some parameter values is also analyzed. The numerical simulations conducted agreed with the theoretical findings. It is found out using numerical simulation that the pulse vaccination has a good impact on reducing the disease.

Original languageBritish English
Pages (from-to)925-946
Number of pages22
JournalNonlinear Dynamics
Issue number1
StatePublished - Jan 2021


  • Global attractivity
  • Human papillomavirus
  • Impulsive vaccination
  • Uniform persistence


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