Zafar, Zain Ul AbadinHussain, M. T.Inc, MustafaBaleanu, DumitruAlmohsen, BandarOke, Abayomi S.Javed, Shumaila2025-05-092025-05-0920222211-3797https://doi.org/10.1016/j.rinp.2022.105281https://hdl.handle.net/20.500.12416/9507Oke, Abayomi Samuel/0000-0003-3903-4112; Bin-Mohsin Or Almohsen, Bandar/0000-0002-2160-4159; Hussain, Muhammad Tanveer/0000-0003-0884-3056Human 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 HPVrelated 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.eninfo:eu-repo/semantics/openAccessHuman Papillomavirus (Hpv)Next-Generation MethodLow -High Risk Type VaccinationBasic Reproduction RatioCervical CancerArticle10.1016/j.rinp.2022.1052812-s2.0-85124001584