A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde

Ecological Complexity - Tập 30 - Trang 70-75 - 2017
Cristiana J. Silva1, Delfim F.M. Torres1
1Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal

Tài liệu tham khảo

Anderson, 1988, The role of mathematical models in the study of HIV transmission and the epidemiology of AIDS, J. AIDS, 1, 241 Anderson, 1989, The transmission dynamics of the human immunodeficiency virus type 1 in the male homosexual community in the United Kingdom: the influence of changes in sexual behavior, Philos. Trans. R. Soc. Lond. B, 325, 45, 10.1098/rstb.1989.0074 Bhunu, 2009, Mathematical analysis of a two strain HIV/AIDS model with antiretroviral treatment, Acta Biotheor., 57, 361, 10.1007/s10441-009-9080-2 Bhunu, 2009, Modeling HIV/AIDS and tuberculosis coinfection, Bull. Math. Biol., 71, 1745, 10.1007/s11538-009-9423-9 Bhunu, 2011, Mathematical analysis of an HIV/AIDS model: impact of educational programs and abstinence in Sub-Saharan Africa, J. Math. Model. Algor., 10, 31, 10.1007/s10852-010-9134-0 Cai, 2009, Stability analysis of an HIV/AIDS epidemic model with treatment, J. Comput. Appl. Math., 229, 313, 10.1016/j.cam.2008.10.067 Chitnis, 2008, Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model, Bull. Math. Biol., 70, 1272, 10.1007/s11538-008-9299-0 Deeks, 2013, The end of AIDS: HIV infection as a chronic disease, Lancet, 382, 1525, 10.1016/S0140-6736(13)61809-7 Granich, 2009, Universal voluntary HIV testing with immediate antiretroviral therapy as a strategy for elimination of HIV transmission: a mathematical model, Lancet, 373, 48, 10.1016/S0140-6736(08)61697-9 Greenhalgh, 2001, A mathematical model of AIDS and condom use, IMA J. Math. Appl. Med. Biol., 18, 225, 10.1093/imammb/18.3.225 Hethcote, 2000, The mathematics of infectious diseases, SIAM Rev., 42, 599, 10.1137/S0036144500371907 Hyman, 1988, Using mathematical models to understand the AIDS epidemic, Math. Biosci., 90, 415, 10.1016/0025-5564(88)90078-8 Joshi, 2008, Modeling the effect of information campaigns on the HIV epidemic in Uganda, Math. Biosci. Eng., 5, 757, 10.3934/mbe.2008.5.757 Kong, 2011, Optimal control of a vector-host epidemics model, Math. Control Relat. Fields, 1, 493, 10.3934/mcrf.2011.1.493 Lakshmikantham, 1989 LaSalle, 1976, The stability of dynamical systems May, 1987, Transmission dynamics of HIV infection, Nature, 326, 137, 10.1038/326137a0 Musgrave, 2009, Examination of a simple model of condom usage and individual withdrawal for the HIV epidemic, Math. Biosci. Eng., 6, 363, 10.3934/mbe.2009.6.363 Perelson, 1997, Decay characteristics of HIV-1-infected compartments during combination therapy, Nature, 387, 188, 10.1038/387188a0 República de Cabo Verde, 2015 Rodrigues, 2013, Dengue in Cape Verde: vector control and vaccination, Math. Popul. Stud., 20, 208, 10.1080/08898480.2013.831711 Sharomi, 2008, Mathematical analysis of the transmission dynamics of HIV/TB co-infection in the presence of treatment, Math. Biosci. Eng., 5, 145, 10.3934/mbe.2008.5.145 Silva, 2015, A TB-HIV/AIDS coinfection model and optimal control treatment, Discrete Contin. Dyn. Syst., 35, 4639, 10.3934/dcds.2015.35.4639 UNAIDS, 2015 van den Driessche, 2002, Reproduction numbers and subthreshold endemic equilibria for compartmental models of disease transmission, Math. Biosc., 180, 29, 10.1016/S0025-5564(02)00108-6 WHO, 2015 World Bank Data, 2014 Zwahlen, 2006