A male-female mathematical model of human papillomavirus (HPV) in African American population
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 A...
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| Format: | Article |
| Language: | English |
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AIMS Press
2016-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017022 |
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| author | Najat Ziyadi |
| author_facet | Najat Ziyadi |
| author_sort | Najat Ziyadi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f44326ca42cb4b768ddfdbfe803e8ec5 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2016-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-f44326ca42cb4b768ddfdbfe803e8ec52025-01-24T02:39:32ZengAIMS PressMathematical Biosciences and Engineering1551-00182016-12-0114133935810.3934/mbe.2017022A male-female mathematical model of human papillomavirus (HPV) in African American populationNajat Ziyadi0Department of Mathematics, Morgan State University, Baltimore, MD 21251, USAWe 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.https://www.aimspress.com/article/doi/10.3934/mbe.2017022hpvlogistic demographicsbasic reproduction numbervaccine |
| spellingShingle | Najat Ziyadi A male-female mathematical model of human papillomavirus (HPV) in African American population Mathematical Biosciences and Engineering hpv logistic demographics basic reproduction number vaccine |
| title | A male-female mathematical model of human papillomavirus (HPV) in African American population |
| title_full | A male-female mathematical model of human papillomavirus (HPV) in African American population |
| title_fullStr | A male-female mathematical model of human papillomavirus (HPV) in African American population |
| title_full_unstemmed | A male-female mathematical model of human papillomavirus (HPV) in African American population |
| title_short | A male-female mathematical model of human papillomavirus (HPV) in African American population |
| title_sort | male female mathematical model of human papillomavirus hpv in african american population |
| topic | hpv logistic demographics basic reproduction number vaccine |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2017022 |
| work_keys_str_mv | AT najatziyadi amalefemalemathematicalmodelofhumanpapillomavirushpvinafricanamericanpopulation AT najatziyadi malefemalemathematicalmodelofhumanpapillomavirushpvinafricanamericanpopulation |