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A male-female mathematical model of human papillomavirus (HPV) in African American population

. Department of Mathematics, Morgan State University, Baltimore, MD 21251, USA

We introduce mathematical human papillomavirus (HPV) epidemic models (with and without vaccination) for African American females (AAF) and African American males (AAM) with "fitted" logistic demographics and use these models to study the HPV disease dynamics. The US Census Bureau data of AAF and AAM of 16 years and older from 2000 to 2014 is used to "fit" the logistic demographic models. We compute the basic reproduction number, $\mathcal{R}_0$, and use it to show that $\mathcal{R}_0$ is less than 1 in the African American (AA) population with or without implementation of HPV vaccination program. Furthermore, we obtain that adopting a HPV vaccination policy in the AAF and AAM populations lower $\mathcal{R}_0$ and the number of HPV infections. Sensitivity analysis is used to illustrate the impact of each model parameter on the basic reproduction number.

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Keywords HPV; logistic demographics; basic reproduction number; vaccine

Citation: Najat Ziyadi. A male-female mathematical model of human papillomavirus (HPV) in African American population. Mathematical Biosciences and Engineering, 2017, 14(1): 339-358. doi: 10.3934/mbe.2017022


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This article has been cited by

  • 1. Xinwei Wang, Haijun Peng, Boyang Shi, Dianheng Jiang, Sheng Zhang, Biaosong Chen, Optimal Vaccination Strategy of A Constrained Time-varying SEIR Epidemic Model, Communications in Nonlinear Science and Numerical Simulation, 2018, 10.1016/j.cnsns.2018.07.003
  • 2. O.M. Ogunmiloro, Modelling the Human Papilloma Virus Transmission in a Bisexually Active Host Community, Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2020, 13, 2, 80, 10.14529/mmp200207

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