Mathematical Biosciences and Engineering (MBE)

A male-female mathematical model of human papillomavirus (HPV) in African American population
Pages: 339 - 358, Issue 1, February 2017

doi:10.3934/mbe.2017022      Abstract        References        Full text (504.1K)           Related Articles

Najat Ziyadi - Department of Mathematics, Morgan State University, Baltimore, MD 21251, United States (email)

1 A. Alsaleh and A. B. Gumel, Analysis of risk-structured vaccination model for the dynamics of oncogenic and warts-causing HPV types, Bulletin of Mathematical Biology, 76 (2014), 1670-1726.       
2 Black male statistics, Available from: http://blackdemographics.com/black-male-statistics/. Accessed 4/12/2016.
3 F. Brauer and C. Castillo-Chavez, Mathematical Models in Population Biology and Epidemiology, Texts in Applied Mathematics, Springer, New York, NY, 2001.       
4 J. Cariboni, D. Gatelli, R. Liska and A. Saltelli, The role of sensitivity analysis in ecological modelling, Ecological modelling, 203 (2007), 167-182.
5 Centers for disease control and prevention, Genital HPV infection: CDC fact sheet, Available from: http://www.cdc.gov/std/HPV/STDFact-HPV.htm. Accessed 4/12/2016.
6 Centers for disease control and prevention, National Vital Statistics Reports, Volume 64, Number 2.
7 Centers for Disease Control and Prevention, Human Papillomavirus (HPV), What is HPV, Available from: http://www.cdc.gov/hpv/whatishpv.html. Accessed 4/12/2016.
8 Centers for Disease Control and Prevention, Morbidity and mortality weekly report, CDC grand rounds: Reducing the burden of HPV-associated cancer and disease, MMWR, Weekly, 63 (2014), 69-72.
9 Center for Disease Control and Prevention, Morbidity and Mortality Weekly Report, Weekly Vol. 64 No. 29. http://www.cdc.gov/mmwr/pdf/wk/mm6429.pdf. Accessed on 4/8/2016.
10 N. Chitnis, J. M. Hyman and J. M. Cushing, Determining important parameter in the spread of malaria through the sensitivity analysis of mathematical model, Bulletin of Mathematical Biology, 70 (2008), 1272-1296.       
11 S. Hariri, E. Dunne, M. Saraiya, E. Unger and L. Markowitz, Chapter 5: Human papillomavirus, VPD Surveillance Manual, 5th Edition, 2011. Available from: http://www.cdc.gov/vaccines/pubs/surv-manual/chpt05-hpv.pdf. Accessed 4/12/2016.
12 http://www.census.gov/popest/data/intercensal/national/tables/US-EST00INT-03-BA.xls. Accessed 4/12/2016.
13 S. Lee and A. Tameru, A mathematical model of human papillomavirus (HPV) in the United States and its impact on cervical cancer, Journal of Cancer, 3 (2012), 262-268.
14 L. Ribassin-Majed, R. Lounes and S. Clemencon, Deterministic modelling for transmission of human papillomavirus 6/11: Impact of vaccination, Math Med Biol, 31 (2014), 125-149.       
15 H. L. Smith, Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems, Amer. Math. Soc., Rhode Island, 1995.       
16 US Census Bureau, Available from: http://factfinder.census.gov/faces/tableservices/jsf/pages/productview.xhtml?pid=ACS_11_1YR_B01001B&prodType=table. Accessed 8/28/2016.
17 P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, 180 (2002), 29-48.       
18 N. Ziyadi, Local and global sensitivity analysis of $\mathcalR_0$ in a male and female human papillomavirus (HPV) epidemic model of Moroccans, Journal of Evolution Equations, 9 (2016), Accepted.
19 N. Ziyadi and A.-A. Yakubu, Local and global sensitivity analysis in a discrete-time seis epidemic model, Advances in Dynamical Systems and Applications, 11 (2016), 15-33.

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