Citation: Najat Ziyadi. A male-female mathematical model of human papillomavirus (HPV) in African American population[J]. Mathematical Biosciences and Engineering, 2017, 14(1): 339-358. doi: 10.3934/mbe.2017022
[1] | [ A. Alsaleh,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,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,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,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,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,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 $\mathcal{R}_0 $ in a male and female human papillomavirus (HPV) epidemic model of Moroccans, Journal of Evolution Equations 9 (2016), Accepted. |
[19] | [ N. Ziyadi,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. |