Mathematical Biosciences and Engineering (MBE)

Three-level global resource allocation model for hiv control: A hierarchical decision system approach
Pages: 255 - 273, Issue 1, February 2018

doi:10.3934/mbe.2018011      Abstract        References        Full text (717.1K)           Related Articles

Semu Mitiku Kassa - Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology (BIUST), P/Bag 16, Palapye, Botswana (email)

1 Avert, Funding for HIV and AIDS, 2016. Available from http://www.avert.org/node/353/pdf
2 M. L. Brandeau, G. S. Zaric and A. Richter, Resource allocation for control of infectious diseases in multiple independent populations: Beyond cost-effectiveness analysis, Journal of Health Economics, 22 (2003), 575-598.
3 M. L. Brandeau, G. S. Zaric and V. De Angelis, Improved allocation of HIV prevention resources: Using information about prevention program production functions, Health Care Management Science, 8 (2005), 19-28.
4 Centers for Disease Control and Prevention (CDC), Achievements in public health, reduction in perinatal transmission of HIV infection - United States, 1985 - 2005, MMWR Morb Mortal Wkly Rep, 55 (2006), 592-597.
5 D. Donnell, J. M. Baeten, J. Kiarie, K. K. Thomas, W. Stevens, C. R. Cohen, J. Mclntyre, J. R. Lingappa and C. Celum, Heterosexual HIV-1 transmission after initiation of antiretroviral therapy: A prospective cohort analysis, Lancet, 375 (2010), 2092-2098.
6 M. Drummond, B. O'Brien, G. L. Stoddart and G. J. Torrance (Eds.), Methods for the Economic Evaluation of Health Care Programs, Oxford University Press, New York, 2000.
7 S. R. Earnshaw, K. Hicks, A. Richter and A. Honeycutt, A linear programming model for allocating HIV prevention funds with state agencies: A pilot study, Health Care Manage Sci, 10 (2007), 239-252.
8 S. Flessa, Where efficiency saves lives: A linear programme for the optimal allocation of health care resources in developing countries, Health Care Management Science, 3 (2000), 249-267.
9 A. M. Kassa and S. M. Kassa, A multi-parametric programming algorithm for special classes of non-convex multilevel optimization problems, An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 3 (2013), 133-144.       
10 A. M. Kassa and S. M. Kassa, A branch-and-bound multi-parametric programming approach for non-convex multilevel optimization with polyhedral constraints, Journal of Global Optimization, 64 (2016), 745-764.       
11 A. M. Kassa and S. M. Kassa, Deterministic solution approach for some classes of nonlinear multilevel programs with multiple followers, J Glob Optim, (2017), 1-19.
12 S. M. Kassa and A. Ouhinou, The impact of self-protective measures in the optimal interventions for controlling infectious diseases of human population, Journal of Mathematical Biology, 70 (2015), 213-236.       
13 S. M. Kassa and A. Ouhinou, Epidemiological models with prevalence dependent endogenous self-protection measure, Mathematical Biosciences, 229 (2011), 41-49.       
14 J. Kates, J. A. Izazola and E. Lief, Financing the response to HIV in low- and middle-income countries:, International assistance from donor governments in 2015, 2015. Available from: http://files.kff.org/attachment/Financing-the-Response-to-HIV-in-Low-and-Middle-Income-Countries-International-Assistance-from-Donor-Governments-in-2015
15 J. Kates, A. Wexler and E. Lief, Financing the response to HIV in low- and middle-income countries: International assistance from donor governments in 2013, UNAIDS Report, July 2014. Available from: https://kaiserfamilyfoundation.files.wordpress.com/2014/07/7347-10-financing-the-response-to-hiv-in-low-and-middle-income-countries.pdf
16 J. M. Kilby, H. Y. Lee, J. D. Hazelwood, A. Bansal, R. P. Bucy, M. S. Saag, G. M. Shaw, E. P. Acosta, V. A. Johnson, A. S. Perelson and P. A. Goepfert, Treatment response in acute/early infection versus advanced AIDS: Equivalent first and second phase of HIV RNA decline, AIDS, 22 (2008), 957-962.
17 A. P. Kourtis, C. H. Schmid, D. J. Jamieson and J. Lau, Use of Antiretroviral therapy in HIV-infected pregnant women and the risk of premature delivery: A meta-analysis, AIDS, 21 (2007), 607-615.
18 A. Lasry, G. S. Zaric and M. W. Carter, Multi-level resource allocation for HIV prevention: A model for developing countries, European Journal of Operational Research, 180 (2007), 786-799.
19 F. J. Palella, K. M. Delaney, A. C. Moorman, M. O. Loveless, J. Fuhrer and G. A. Satten et al., Declining morbidity and mortality among patients with advanced human immunodeficiency virus infection, The New England Journal of Medicine, 338 (1998), 853-860.
20 L. Palombi, M. C. Marazzi, A. Voetberg and N. A. Magid, Treatment acceleration program and the experience of the DREAM program in prevention of mother-to-child transmission of HIV, AIDS, 21 (2007), S65-S71.
21 A. Prendergast, G. Tudor-Williams, S. Burchett and P. Goulder, International perspectives, progress, and future challenges of paediatric HIV infection, Lancet, 370 (2007), 68-80.
22 N. Siegfried, L. van der Merwe, P. Brocklehurst and T. T. Sint, Antiretrovirals for reducing the risk of mother-to-child transmission of HIV infection, Cochrane Database of Systematic Reviews 2011, 7 (2011), Art.CD003510.
23 J. A. C. Sterne, M. A. HenĂ¡n, B. Ledergerber, K. Tilling, R. Weber and P. Sendi et al., Long-term effectiveness of potent antiretroviral therapy in preventing AIDS and death: A prospective cohort study, Lancet, 366 (2005), 378-384.
24 UNAIDS, AIDS by the numbers, 2016. Available from: http://www.unaids.org/sites/default/files/media_asset/AIDS-by-the-numbers-2016_en.pdf.
25 UNAIDS, Fast-track update on investments needed in the AIDS response, UNAIDS Reference, 2016. Available from: http://www.unaids.org/sites/default/files/media_asset/UNAIDS_Reference_FastTrack_Update_on_investments_en.pdf
26 R. Vardavas and S. Blower, The emergence of HIV transmitted resistance in Botswana: When will the WHO detection threshold be exceeded?, PLoS ONE, 2 (2007), e152.
27 M. C. Weinstein, From cos-effectiveness ratios to resource allocation: where to draw the line?, in Valuing Healthcare: Costs, Benefits, Effectiveness of phramaceuticals and other medical technologies (eds. F. A. Sloan), Cambridge University Press, New York (1995), 77-97.
28 World Health Organization, Towards Universal Access: Scaling up Priority HIV/AIDS Interventions in the Health Sector: Progress Report 2009, WHO, 2009.
29 A. T. Woldemariam and S. M. Kassa, Systematic evolutionary algorithm for general multilevel Stackelberg problems with bounded decision variables (SEAMSP), Annals of Operations Research, 229 (2015), 771-790.       
30 G. S. Zaric and M. L. Brandeau, Resource allocation for epidemic control over short time horizons, Mathematical Biosciences, 171 (2001), 33-58.       
31 G. S. Zaric and M. L. Brandeau, A little planning goes a long way: Multilevel allocation of HIV prevention resources, Medical Decision Making, 27 (2007), 71-81.

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