Results in Physics (Mar 2022)

Fractional-order dynamics of human papillomavirus

  • Zain Ul Abadin Zafar,
  • M.T. Hussain,
  • Mustafa Inc,
  • Dumitru Baleanu,
  • Bandar Almohsen,
  • Abayomi S. Oke,
  • Shumaila Javeed

Journal volume & issue
Vol. 34
p. 105281

Abstract

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Human papillomavirus (HPV) is a reproductive tract infection common to sexually active human. Many of the low-risk HPV infections clear up without any medications but the High-risk HPV-related diseases can remain in the body for a long time. Most of the cases of cervical cancers and other genital cancers are consequences of HPV-related diseases. As HPV-related diseases are on the increase and controlling the spread is becoming difficult, this present study explores the influence of vaccination on the spread of the diseases. A fractional order mathematical model that captures different HPV risk level is developed in this study. The basic reproduction ratio is obtained for the fractional order model and a locally asymptomatically stable disease-free equilibrium is shown to exist. A comprehensive analysis of the effect of vaccination efficacy and rate of vaccination is carried out and the results indicate that the spread of HPV infection can be mitigated by vaccination.

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