Share This Article:

Mathematical analysis of drug resistance in vertical transmission of HIV/AIDS

Abstract Full-Text HTML Download Download as PDF (Size:1342KB) PP. 139-148
DOI: 10.4236/ojepi.2013.33021    2,928 Downloads   5,223 Views   Citations

ABSTRACT

A nonlinear mathematical model of vertical transmission of HIV/AIDS is proposed to study the effects of drug resistance in the spread of the disease. The study assumes that treatment leads to the evolution of drug resistance in some pockets of the population. We use traditional methods to determine conditions for existence and stability of disease-free and endemic equilibrium points of the model. The study showed that the burden of the disease may be reduced if the reproduction number is reduced below unity and may persist if the reproduction number is raised above unity. Furthermore, evolution of drug resistance due to treatment may change the cause of the epidemic.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Chibaya, S. , Kgosimore, M. and Massawe, E. (2013) Mathematical analysis of drug resistance in vertical transmission of HIV/AIDS. Open Journal of Epidemiology, 3, 139-148. doi: 10.4236/ojepi.2013.33021.

References

[1] Program for Appropriate Technology in Health (2001) Preventing HIV/AIDS in low-resource settings. Outlook, 19.
[2] CDC (2011) Basic information about HIV and AIDS. http://www.cdc.gov/hiv/topics/basic/
[3] Hampanda, K. (2013) Vertical transmission of HIV in sub-Saharan Africa: Applying theoretical frameworks to understand social barriers to PMTCT. ISRN Infectious Diseases, 2013, Article ID: 420361.
[4] Besser, M. (2010) HIV in pregnancy: Doing more with less: Mothers2Mothers.
[5] Soderlund, N., Zwi, K., Kinghorn, A. and Grey, G (1999) Prevention of vertical transmission of HIV: Analysis of cost effectiveness of available in South Africa. British Medical Journal, 318, 1650-1656. doi:10.1136/bmj.318.7199.1650
[6] Prasse, M. (2006) Mother to Child Transmission of HIV. http://the-aids-pandemic.blogspot.com/2006/12/mother-to-child-transmission-of-hiv.html
[7] Gumbo, F.Z., Duri, K., Kandawasvika, G.Q., Kurewa, N.E., Mapangure, M.P., Munjoma, M.W., Rusakaniko, S., Chirenje, M.Z. and Pedersen, B.S (2010) Risk factors of HIV vertical transmission in a cohort of women under a PMCTCT program at per-urban clinics in the resource-poor setting. Journal of Prinatology, 30, 717-723. doi:10.1038/jp.2010.31
[8] Granish, R.M., Gilks, C.F., Dye, C., De Cock, K.M. and Williams, B.G (2009) Universal voluntary HIV testing with immediate antiretroviral therapy as a strategy for elimination of HIV transmission: A mathematical model. Lancent, 373, 48-59. doi:10.1016/S0140-6736(08)61697-9
[9] WHO (2011) Basic information about HIV and AIDS. http://www.who.int/mediacentre/facsheets/fs360/en/inde.html
[10] Malunguza, N., Mushayabasa, S., Chiyaka, C. and Mukandavire, Z (2010) Modelling the effects of condom use and antretroviral therapy in controlling HIV/AIDS among heterosexuals, homesexuals and bisexuals. Computational and Mathematical Methods in Medicine, 11, 201-222. doi:10.1080/17486700903325167
[11] Mukandavire, Z. and Garira, W (2007) Sex-structurerd HIV/AIDS model to analyse the effects of condom use with application to Zimbabwe. Journal of Mathematical Biology, 54, 669-699. doi:10.1007/s00285-006-0063-5
[12] Kgosimore, M. and Lungu, E.W (2006) The effects of vertical transmission the spread of HIV/AIDS in the presence of treatment. Mathematical Biosciences and Engineering, 3, 297-312. doi:10.3934/mbe.2006.3.297
[13] Naresh, R. and Sharma, D (2011) HIV/AIDS model with vertical transmission and time delay. World Journal of Modelling and Simulation, 7, 230-240.
[14] Velasco-Hernadez, J.X., Gershengorn, H.B. and Blower, S.M (2002) Could widespread use of combination antiretroviral therapy eradicate HIV epidemics? Lancet Infectious Diseases, 2, 487-493. doi:10.1016/S1473-3099(02)00346-8
[15] Hove-Musekwa S.D. and Nyabadza, F (2009) The dynamics of an HIV/AIDS model with screened disease carriers. Computational and Mathematical Methods in Medicine, 10, 287-305.

  
comments powered by Disqus

Copyright © 2019 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.