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Statistical Modeling of HIV Transmission

  • D. M. Basavarajaiah
  • Bhamidipati Narasimha Murthy
Chapter

Abstract

Epidemic modelling is an exciting, active, and rapidly expanding field. Models based on transmission mechanisms of AIDS virus can help medical and scientific community to understand and anticipate its spread. Since AIDS is expected to place enormous demand on healthcare facilities, there is a pressing need to develop flexible prediction models. These are an integral part of long-range scientific research and are equivalent to the hypotheses to be tested (Basavarajaiah et al. 2013). Modelling that has been in use for a long time (Abdallah SW, Estomih S, Massawel S, Oluwole DM: J Appl Math 2(3):77–89. https://d10.59/10.5923/j.am.20120203.06, 2012; Balcha TT, Lecerof SS, Jeppson AR: J Int Assoc Phys AIDS Care 10(Suppl 3):187–192, 2011; Bashiru KA, Fasoranbaku AO, Olukayode A, Ojurongbe TA: Seria Informatică 15(Suppl 2):89–96, 2017; Coovadia H et al: N Engl J Med 351(Suppl 3):289–292, 2004) has extensively reviewed epidemic models that discuss the choke among alternatives. Intervention strategies play a crucial role in quantifying uncertainties of “AIDS” projection. In developing a model, one creates a logical structure to organize existing information into a framework and suggest what new data that must be collected. Thus, models provide insight into the systems even when data are lacking. Hence statistical models are essential for understanding AIDS and the relation between social and biological mechanisms that influence its spread.

References

  1. Abdallah SW, Estomih S, Massawel S, Oluwole DM (2012) Mathematical modelling of HIV/AIDS dynamics with treatment and vertical transmission. J Appl Math 2(3):77–89.  https://doi.org/10.5923/j.am.20120203.06 CrossRefGoogle Scholar
  2. Balcha TT, Lecerof SS, Jeppson AR (2011) Strategic challenges of PMTCT program implementation in Ethiopia. J Int Assoc Phys AIDS Care 10(Suppl 3):187–192CrossRefGoogle Scholar
  3. Bashiru KA, Fasoranbaku OA et al (2009) Statistical modelling of mother to child and heterosexual modes of transmission of HIV/AIDS epidemic the pacific. J Sci Technol 10(Suppl 2):186–192Google Scholar
  4. Bashiru KA, Fasoranbaku AO, Olukayode A, Ojurongbe TA (2017) 1stability analysis of mother-to-child transmission of hiv/aids dynamic model with treatment Anale. Seria Informatică 15(Suppl 2):89–96Google Scholar
  5. Bhat K, Buwn C (2003) Barriers to the implementation of programs for the prevention of mother-to-child transmission of HIV: a cross-sectional survey in rural and urban Uganda. AIDS Res Ther 2:10Google Scholar
  6. Chasela CS, Hudgens MG, Jamieson DJ, Kayira D, Hosseinipour MC, Kourtis AP et al (2010) Maternal or infant antiretroviral drugs to reduce HIV-1 transmission. N Engl J Med 362(24):2271–2281PubMedPubMedCentralCrossRefGoogle Scholar
  7. Coovadia H et al (2004) Antiretroviral agents – how best to protect infants from HIV and save their mothers from AIDS. N Engl J Med 351(Suppl 3):289–292PubMedCrossRefGoogle Scholar
  8. Creek T, Ntumy R, Mazhani L, Moore J, Smith M, Han G et al (2009) Factors associated with low early uptake of a national program to prevent mother to child transmission of HIV (PMTCT): results of a survey of mothers and providers, Botswana, 2003. AIDS Behav 13:356–364PubMedCrossRefGoogle Scholar
  9. Dabis S et al (2000) Prevention of mother-to-child transmission of HIV In developing countries: recommendations for practice. The Ghent international working group on mother-To-child transmission of HIV. Health Policy Plan 15(1):34–42PubMedCrossRefGoogle Scholar
  10. Dietz K et al (1993) The estimation of the basic reproduction number for infectious diseases. Stat Methods Med Res 2:23–41PubMedCrossRefGoogle Scholar
  11. Duff P, Walter K, Wild T, Rubaale T, Okech-Ojony J (2010a) Barriers to accessing highly active antiretroviral therapy by HIV-positive women attending an antenatal clinic in a regional hospital in western Uganda. J Int AIDS Soc 13(Suppl 37):1421–1436Google Scholar
  12. Duff P, Kipp W, Wild TC, Rubaale T, Okech-Ojony J (2010b) Barriers to accessing highly active antiretroviral therapy by HIV-positive women attending an antenatal clinic in a regional hospital in western Uganda. J Int AIDS Soc 13(Suppl 37):1–9Google Scholar
  13. Duff P, Walter K, Wild T, Rubaale T, Okech-Ojony J (2010c) Barriers to accessing highly active antiretroviral therapy by HIV-positive women attending an antenatal clinic in a regional hospital in western Uganda. J Int AIDS Soc 13(Suppl 37):138–140Google Scholar
  14. El Khatib Z, Ekstrom AM, Coovadia A, Abrams EJ, Petzold M, Katzenstein D et al (2011) Adherence and virological suppression during the first 24 weeks on antiretroviral therapy among women in Johannesburg, South Africa-A prospective cohort study. BMC Public Health 11(Suppl 88):1–13Google Scholar
  15. Fasoranbaku OA, Bashiru KA, Yusuf TT (2015) Stochastic analysis of mother to child transmission of HIV/AIDS epidemic in the presence of treatment. Eur J Stat Probab 3(Suppl 5):12–23Google Scholar
  16. Gilbert L, Walker L et al (2010) My biggest fear was that people would reject me once they knew my status. Stigma as experienced by patients in an HIV/AIDS clinic in Johannesburg, South Africa. Health Soc Care Community 18(Suppl 2):139–146PubMedCrossRefPubMedCentralGoogle Scholar
  17. Gourlay A, Birdthistle I, Mburu G, Iorpenda K, Wringe A (2013) Barriers and facilitating factors to the uptake of antiretroviral drugs for prevention of mother-to-child transmission of HIV in sub-Saharan Africa: a systematic review. J Int AIDS Soc 16(Suppl 1):1611–1613Google Scholar
  18. Igwegbe AO, Ugboaja JO, Nwajiaku LA (2010) Prevelance and determinants of non-adherence to antiretroviral therapy among HIV-positive pregnant women in Nnewi, Nigeria. Int J Med Med Sci 2(8):238–245Google Scholar
  19. Kasenga F, Byass P, Emmelin M, Hurtig AK et al (2009) The implications of policy changes on the uptake of a PMTCT programme in rural Malawi: First three years of experience. Glob Health Action 2:1–7CrossRefGoogle Scholar
  20. Kourtis P, Lee K et al (2006) Mother-to-child transmission of HIV-1: timing and implications for prevention. Lancet Infect Dis 6(11):726–732PubMedCrossRefGoogle Scholar
  21. Kunihira NR, Nuwaha F, Mayanja R, Peterson S (2010) Barriers to use of antiretroviral drugs in Rakai District of Uganda. Afr Health Sci 10(Suppl 2):120–129PubMedPubMedCentralGoogle Scholar
  22. Lettow M, Bedell R, Landes M, Gawa L et al (2011) Uptake and outcomes of a prevention-of mother-to-child transmission (PMTCT) program in Zomba District, Malawi. BMC Public Health 11(Suppl 426):1859–1867Google Scholar
  23. Lewis A et al (2001) Determinants of VCT uptake among pregnant women attending two ANC clinics in Addis Ababa City: unmatched case control study. Ethiop Med J 45(4):335–342Google Scholar
  24. Mepham S, Zondi Z, Mbuyazi A, Mkhwanazi N, Newell ML (2011) Challenges in PMTCT antiretroviral adherence in northern KwaZulu-Natal, South Africa. AIDS Care 23(Suppl 6):741–747PubMedCrossRefGoogle Scholar
  25. Morgan MC, Masaba RO, Nyikuri M, Thomas TK (2010) Factors affecting breastfeeding cessation after discontinuation of antiretroviral therapy to prevent mother-to-child transmission of HIV. AIDS Care 22:866–873PubMedCrossRefGoogle Scholar
  26. Moses AE, Chama C, Udo SM, Omotora BA (2009) Knowledge, attitude and practice of ante-natal attendees toward prevention of mother to child transmission (PMTCT) of HIV infection in a tertiary health facility, northeast Nigeria. Internet J Third World Med 8(Suppl 1):9–11Google Scholar
  27. Naresh R, Tripathi A, Omar S (2006) Modelling the spread of AIDS epidemic with vertical transmission. Appl Math Comput 178:262–272Google Scholar
  28. Naresh R, Sharma D et al (2011) An HIV/AIDS model with vertical transmission and time delay. World J Model Simul 7(Suppl 3):230–240Google Scholar
  29. Nguyen TA, Oosterhoff P, Pham YN, Hardon A, Wright P (2009) Health workers’ views on quality of prevention of mother-to-child transmission and postnatal care for HIV-infected women and their children. Hum Resour Health 7(Suppl 39):944–947Google Scholar
  30. Oosterhoff P, Hardon AP, Nguyen TA, Pham NY, Wright P (2008) Dealing with a positive result: routine HIV testing of pregnant women in Vietnam. AIDS Care 20(Suppl 6):654–659PubMedCrossRefGoogle Scholar
  31. Orie EF, Songca PP, Moodley J (2009) An audit of PMTCT services at a regional hospital in South Africa. S Afr Fam Pract 51(Suppl 6):492–495Google Scholar
  32. Pai NP, Klein MB et al (2009) Improving a mother to child HIV transmission programme through health system redesign: quality improvements, protocol adjustments, and resource addition. Womens Health 5(Suppl 1):55–62Google Scholar
  33. Rahangdale L, Banandur P, Sreenivas A, Turan JM, Washington R, Cohen CR (2010) Stigma as experienced by women accessing prevention of parent-to-child transmission of HIV services in Karnataka, India. AIDS Care 22(Suppl 7):836–842PubMedPubMedCentralCrossRefGoogle Scholar
  34. Rakoasi S (2005) HIV counselling and testing of pregnant women attending antenatal clinics in Botswana. J Health Popul Nutr 1:58–65Google Scholar
  35. Rollins N, Little K, Mzolo S, Horwood C, Newell ML (2007) Surveillance of mother-to-child transmission prevention programmes at immunization clinics: the case for universal screening. AIDS 21(Suppl 10):1341–1347PubMedCrossRefGoogle Scholar
  36. Shapiro RL, Hughes MD, Ogwu A et al (2010) Antiretroviral regimens in pregnancy and breast-feeding in Botswana. N Engl J Med 362(24):2282–2294PubMedPubMedCentralCrossRefGoogle Scholar
  37. Simbayi LC, Kalichman S, Strebel A, Cloete A, Henda N, Mqeketoa A (2007) Internalized stigma, discrimination, and depression among men and women living with HIV/AIDS in Cape Town South Africa. Soc Sci Med 64(Suppl 9):1823–1831PubMedPubMedCentralCrossRefGoogle Scholar
  38. Sprague C, Chersich MF, Black V (2011) Health system weaknesses constrain access to PMTCT and maternal HIV services in South Africa: A qualitative enquiry. AIDS Res Ther 8(Suppl 10):1–9Google Scholar
  39. Stangl AL, Lloyd JK, Brady LM, Holland CE, Baral S (2013) A systematic review of interventions to reduce HIV-related stigma and discrimination from 2002 to 2013. J Int AIDS Soc 16(Suppl 3):135–142Google Scholar
  40. Turan JM, Miller S, Bukusi EA, Sande J, Cohen CR et al (2008) HIV/AIDS and maternity care in Kenya: how fears of stigma and discrimination affect uptake and provision of labor and delivery services. AIDS Care 20(Suppl 8):938–945PubMedPubMedCentralCrossRefGoogle Scholar
  41. Turan JM, Bukusi EA, Onono M, Holzemer WL, Miller S, Cohen CR (2011) HIV/AIDS stigma and refusal of HIV testing among pregnant women in rural Kenya: results from the MAMAS study. AIDS Behav 15(Suppl 6):1111–1120PubMedCrossRefGoogle Scholar
  42. Ujiji OA, Ekström AM, Ilako F, Indalo D, Wamalwa D (2011) Reasoning and deciding PMTCT-adherence during pregnancy among women living with HIV in Kenya. Cult Health Sex 13(Suppl 7):829–840CrossRefGoogle Scholar
  43. UNAIDS and WHO (2009) Joint United Nations Programme on HIV/AIDS: AIDS epidemic update. Join United Nations Programme on HIV/AIDS and WHO, GenevaGoogle Scholar
  44. UNAIDS Reference Group on Estimates (2011) Working paper on mother-to-child HIV transmission rates for use in spectrum. UNAIDS, Washington, DCGoogle Scholar
  45. WHO (2014) Global guidance on criteria and processes for validation: elimination of mother-to-child transmission (EMTCT) of HIV and syphilis. WHO, GenevaGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • D. M. Basavarajaiah
    • 1
  • Bhamidipati Narasimha Murthy
    • 2
  1. 1.Department of Statistics and Computer ScienceVeterinary Animal and Fisheries Sciences UniversityBengaluruIndia
  2. 2.Department of BiostatisticsNational Institute of Epidemiology, ICMRChennaiIndia

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