Browsing by Author "Omame, Andrew"

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    Mathematical model of the transmission dynamics of human pappiloma virus infection
    (Federal University of Technology, Owerri, 2019-11) Omame, Andrew
    New deterministic models that assess the impact of treatment, condom use, vaccination, vaccine induced cross-immunity and co-infection with tuberculosis (TB) on the transmission dynamics of human papillomavirus (HPV), are designed and rigorously analyzed. The treatment model includes new compartments for infected females and males treated of HPV symptoms and allows for disease transmission by individuals treated of HPV symptoms. The two-strain model incorporates the dynamics of cross-immunity due to vaccination (ηI 6= 0, ηp 6= 0), while some of the new features of the HPV-TB co-infection model include the dynamics of homogeneous transmission of HPV (ξF 6= 0, ξM 6= 0), as well as new compartments for individuals dually infected with HPV and latent(active) TB. The models are shown to exhibit the phenomenon of backward bifurcation when the associated reproduction numbers are less than unity. Numerical simulations of the treatment model reveal that the impact of treatment on effective control of the disease is conditional and depends on the sign of a certain threshold. Furthermore, if condom compliance by males is 70%, then a female vaccine with 45% efficacy is sufficient for effective control of the HPV in a population. Analyses on the two-strain model reveal that vaccination for one strain could lead to significant decrease in the strain not included in the vaccine, while simulations of the co-infection model show that TB-only treatment strategy could significantly bring down the burden of the co-infection of both HPV and TB in a population.