Abstract
More than ever before, there is now great concern about infectious diseases. Africa bears the disproportionate burden of most infectious diseases and the detrimental impact of infectious diseases is currently more strongly felt in Africa. Although chronic diseases, such as cancer and heart disease receive more attention in developed countries, infectious diseases are the most well-known causes of suffering and mortality in Africa and some developing countries. The multiple burdens of infectious diseases represent a demand on health services of Africa far beyond that experienced in developed countries. Infectious diseases, such as malaria, HIV/AIDS and tuberculosis (TB) are a growing health problem in Africa. Resources for addressing health problems of Africa remain disproportionately low when compared with the tremendous disease burden. The United Nations Development Programme (UNDP) report on the Millennium Development Goals (MDGs) [1] cautions that the health goals of the MDGs will not be met by 2015 in the neediest countries, and, in fact warns that the situation in Africa may actually worsen. The variety of intervention programmes that can be implemented to control these infectious diseases and the limited resources available in Africa to combat these infectious diseases in addition to the existence of already strained and weak public health infrastructure results in “infectious diseases” in Africa being a complex system.
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Notes
- 1.
For the details of all models refer to the original papers.
References
UNDP. The Millennium Development Goals Report 2005. New York: United Nations Development Program. Accessed online at http://millenniumindicators.un.org/unsd/mi/mi_dev_report.asp.
Corbett EL, Steketee RW, Kuile FO, Latif AS, Kamail A, Hayes RJ. HIV-1/AIDS and the control of other infectious diseases in Africa. AIDS Africa III. 2002;359:2177–87.
Magombedze G, Garira W, Mwenje E. In-vivo mathematical study of HIV-1 and Mycobacterium tuberculosis co-infection dynamics. J Biol Syst. 2008;16(3):357–94.
Mukandavire Z, Gumel AB, Garira W, Tchuenche JM. Mathematical analysis of a model for HIV-Malaria co-infection. J Math Biosci Eng. 2009;6(2):333–63.
Magombedze G, Garira W, Mwenje E. Modelling the TB/HIV-1 co-infection and the effects of treatment. Math Popul Stud. 2010;17(1):12–64.
Bhunu CP, Garira W. Modelling HIV/AIDS and tuberculosis coinfection. Bull Math Biol. 2009;71(7):1745–80.
Bhunu CP, Tchuenche JM, Garira W, Magombedze G, Mushayabasa S. Modelling the effects of schistosomiasis on the transmission dynamics of HIV/AIDS. J Biol Syst. 2010;18(2):277–97.
Chiyaka C, Garira W, Dube S. Effects of treatment and drug resistance on the transmission dynamics of malaria in endemic areas. Theor Popul Biol. 2009;75(1):14–29.
Bhunu CP, Mukandavire Z, Garira W. A two strain tuberculosis transmission model with therapy and quarantine. Math Model Anal. 2009;14(3):291–312.
Magombedze G, Garira W, Mwenje E, Bhunu CP. Mycobacterium tuberculosis treatment and the emergence of a multi-drug resistant strain in the lungs. In: Tchuenche JM, Chiyaka C, editors. Infectious disease modelling research progress. NewYork: Nova Publishers; 2009. p. 197–227. ISBN 978-1-60741-347-9.
Bhunu CP, Garira W. Mathematical analysis of a two strain HIV/AIDS model with antiretroviral treatment. Acta Biotheor. 2009;57(3):361–81.
Magombedze G, Garira W, Mwenje E. Modelling the human immune response to Mycobacterium Tuberculosis in the lungs. J Math Biosci Eng. 2006;3(4):661–82.
Bhunu CP, Garira W. Modelling the transmission of multidrug-resistant and extensively drug-resistant TB. In: Tchuenche JM, Mukandavire Z, editors. Advances in disease epidemiology. New York: Nova; 2009. p. 195–220. ISBN 160741452X.
Aluwong T, Bello M. Emerging diseases and implications for millennium development goals in Africa by 2015 – an overview. Vet Ital. 2010;46(2):137–43.
Currie CS, Williams BG, Cheng RC, Dye C. Tuberculosis epidemics driven by HIV: is prevention better than cure? AIDS. 2003;17:2501–8.
North RJ, Jung Y. Immunity in tuberculosis. Annu Rev Immunol. 2004;22:599–623.
USAID. Reducing the threat of infectious diseases of major public health importance. USAID’s initiative for to prevent and control infectious diseases. 1998. http://transition.usaid.gov/our_work/global_health/id/idstrategy.pdf.
Alam SJ, Meyer R, Norling E. A model for HIV spread in a South African village. CPM Report No.: 08-186. 2008. http://cfpm.org/cpmrep186.html.
Stillwaggon E. Complexity, cofactors and the failure of AIDS policy in Africa. J Int AIDS Soc. 2009;12:1–9.
Daun S, Clermont G. In silico modeling in infectious diseases. Drug Discov Today Dis Models. 2007;4(3):117–22.
Magombedze G, Garira W, Mwenje E. Modelling the immunopathogenesis of HIV-1 infection and the effect of multi-drug therapy: the role of fusion inhibitors in HAART. J Math Biosci Eng. 2008;5(3):485–504.
Garira W, Musekwa SD, Shiri T. Optimal control of combined therapy in a single strain HIV-1 model. Electron J Differ Equ. 2005;2005(52):1–22.
Hethcote WH. The basic epidemiology models: models, expressions for R0, parameter estimation, and applications. In: Stefan MA, Xia Y, editors. Mathematical understanding of infectious disease. Singapore: World Scientific; 2008. ISBN 978-981-283-482-9.
Li X, Wang Z, Lu T, Che X. Modelling immune system: principles, models, analysis and perspectives. J Bionic Eng. 2009;6:77–85.
Galea S, Riddle M, Kaplan GA. Casual thinking and complex systems in epidemiology. Int J Epidemiol. 2010;39:97–106.
McCallum H, Barlow N, Hone J. How should pathogen transmission be modeled? Trends Ecol Evol. 2001;16(6):295–300.
Mukandavire Z, Garira W. HIV/AIDS model for assessing the effects of prophylactic sterilizing vaccines, condoms and treatment with amelioration. J Biol Syst. 2006;14(3):323–55.
Mukandavire Z, Chiyaka C, Garira W, Musuka G. Mathematical analysis of a sex-structured HIV/AIDS model with a discrete time delay. Nonlinear Anal Theory Methods Appl. 2009;71(3–4):1082–93.
Mukandavire Z, Garira W. Age and sex structured model for assessing the demographic impact of mother to child transmission of HIV/AIDS. Bull Math Biol. 2007;69(6):2061–92.
Mukandavire Z, Garira W, Chiyaka C. Asymptotic properties of an HIV/AIDS model with a time delay. J Math Anal Appl. 2007;330:916–33.
Mukandavire Z, Garira W. Sex-structured HIV/AIDS model to analyse the effects of condom use with application to Zimbabwe. J Math Biol. 2007;54(5):669–99.
Mukandavire Z, Garira W. Modelling circumcision and condom use as HIV/AIDS preventive control strategies. J Math Comput Model. 2007;46(11–12):1353–72.
Mukandavire Z, Garira W. Effect of public health educational campaigns and the role of sex workers in the spread of HIV/AIDS. J Theor Popul Biol. 2007;72(3):346–65.
Mukandavire Z, Garira W, Tchuenche JM. Modelling effects of public health educational campaigns on HIV/AIDS transmission dynamics. Appl Math Model. 2009;33(4):2084–95.
Bhunu CP, Mushayabasa S, Garira W, Ngarakana-Gwasira E, Tchuenche JM. Is the world doing enough for the poor? A case of HIV/AIDS testing and counselling. World J Model Simul. 2010;6(3):163–76.
Shiri T, Garira W, Musekwa SD. A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters. Math Biosci Eng. 2005;2(4):811–32.
Igwe PC, Ebuehi OM, Inem V, Afolabi BM. Effect of the use of insecticide-treated bed nets on birth outcomes among primigravidae in a peri urban slum settlement in South-East Nigeria. SA Fam Prac. 2007;49(6):1.
Li J. Simple mathematical models for interacting wild and transgenic mosquito populations. Math Biosci. 2004;189:39–59.
Li J. Heterogeneity in modeling of mosquito populations with transgenic mosquitoes. J Differ Equ Appl. 2005;11(4–5):443–57.
Chiyaka C, Garira W, Dube S. Transmission model of endemic human malaria in a partially immune population. J Math Comput Model. 2007;46(5–6):806–22.
Chiyaka C, Garira W, Dube S. Mathematical modelling of the impact of vaccination on malaria epidemiology. Int J Qual Theor Differ Equ Appl. 2007;1(1):28–58.
Chiyaka C, Tchuenche JM, Garira W, Dube S. A mathematical analysis of the effects of control strategies on the transmission dynamics of malaria. Appl Math Comput. 2008;195(2):641–62.
Bhunu CP, Mukandavire Z, Garira W, Zimba M. Tuberculosis transmission model with chemoprophylaxis and treatment. Bull Math Biol. 2008;70(4):1163–91.
Bhunu CP, Garira W, Mukandavire Z, Magombedze G. Modelling the effects of pre-exposure and post-exposure vaccines in tuberculosis control. J Theor Biol. 2008;254(3):633–49.
Perrin D, Ruskin HJ, Crane M. An agent – based approach to immune system modelling: priming individual response. World Acad Sci Eng Technol. 2006;17:80–6.
Bauer AL, Beauchemin CAA, Perelson AS. Agent – based modelling of host–pathogen systems. Inf Sci (NY). 2009;179(10):1379–89.
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Garira, W. (2013). The Dynamical Behaviours of Diseases in Africa. In: Sturmberg, J., Martin, C. (eds) Handbook of Systems and Complexity in Health. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4998-0_35
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