Optimal control of a two-strain tuberculosis-HIV/AIDS co-infection model
Tóm tắt
Từ khóa
Tài liệu tham khảo
Agusto, 2013, Optimal control of the spread of malaria super-infectivity, J. Biol. Syst., 21, 1340002, 10.1142/S0218339013400020
Agusto, 2012, Application of optimal control to the epidemiology of malaria disease, Electron. J. Differ. Equ., 2012, 1
Agusto, 2010, Avian influenza optimal seasonal vaccination therapy, AZIAM J., 51, 394
Agusto, 2009, Optimal chemoprophylaxis control strategies of a tuberculosis transmission model, World J. Model. Simulat., 5, 163
Anderson, 1991
Andrews, 2010, Predictors of multidrug- and extensively drug-resistant tuberculosis in a high HIV prevalence community, PLoS ONE, 5, e15735, 10.1371/journal.pone.0015735
Biomerieux-Diagnostics, 2013
Brauer, 2004, Backward bifurcations in simple vaccination models, J. Math. Anal. Appl., 298, 418, 10.1016/j.jmaa.2004.05.045
Cantor, 1999, Incremental cost-effectiveness analysis: the optimal strategy depends on the strategy set, Clin. Epidemiol., 52, 517, 10.1016/S0895-4356(99)00021-9
Chaulet, 1983, 141
Chitnis, 2006, Bifurcation analysis of a mathematical model for malaria transmission, SIAM J. Appl. Math., 67, 24, 10.1137/050638941
Diekmann, 1990, On the definition and computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations, J. Math. Biol., 28, 503, 10.1007/BF00178324
Fiscella, 1996, Cost-effectiveness of the transdermal nicotine patch as an adjunct to physicians’ smoking cessation counseling, JAMA, 276, 1247, 10.1001/jama.1996.03530400035035
Freedberg, 1998, The cost-effectiveness of preventing AIDS-related opportunistic infections, JAMA, 279, 130, 10.1001/jama.279.2.130
Godfrey-Faussett, 2002, How human immunodeficiency virus voluntary testing can contribute to tuberculosis control, Bull. World Health Org., 80, 939
Hethcote, 2000, The mathematics of infectious diseases, SIAM Rev., 42, 599, 10.1137/S0036144500371907
Jung, 2009, Optimal control strategy for prevention of Avian-human influenza pandemic, J. Theoretical Biol., 260, 220, 10.1016/j.jtbi.2009.05.031
Jones, 2005, Opportunistic infection as a cause of transient viremia in chronically infected HIV patients under treatment with HAART, Bull. Math. Biol., 67, 1227, 10.1016/j.bulm.2005.01.006
Jung, 2002, Optimal control of treatments in a two-strain tuberculosis model, Discrete Continuous Dyn. Syst. B, 2, 473, 10.3934/dcdsb.2002.2.473
Kirschner, 1997, Optimal control of chemotherapy of HIV, J. Math. Biol., 35, 775, 10.1007/s002850050076
Kirschner, 1999, Dynamics of co-infection with M. tuberculosis and HIV-1, Theoretical Population Biol., 55, 94, 10.1006/tpbi.1998.1382
Kwan, 2011, HIV and tuberculosis: a deadly human syndemic, Clin. Microbiol. Rev., 24, 351, 10.1128/CMR.00042-10
Lenhart, 2007
Lakshmikantham, 1989
Naresh, 2005, Modelling and analysis of HIV-TB co-infection in a variable size population, Math. Model. Anal., 10, 275, 10.3846/13926292.2005.9637287
Okosun, 2013, Optimal control strategies and cost-effectiveness analysis of a malaria model, Biosystems, 111, 83, 10.1016/j.biosystems.2012.09.008
Palella, 1998, Declining morbidity and mortality among patients with advanced human immunodeficiency virus infection. HIV outpatients study investigators, N. Engl. J. Med., 338, 853, 10.1056/NEJM199803263381301
Pinkerton, 1998, Cost-effectiveness of a community-level HIV risk reduction intervention, Am. J. Public Health, 88, 1239, 10.2105/AJPH.88.8.1239
Pontryagin, 1962
Ramkissoon, 2012, Modelling HIV and MTB co-infection including combined treatment strategies, PLoS ONE, 7, e49492, 10.1371/journal.pone.0049492
Riechman, 1975
Richeldi, 2004, Early diagnosis of subclinical multidrug-resistant tuberculosis, Ann. Intern. Med., 140, 709, 10.7326/0003-4819-140-9-200405040-00010
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
Shenoi, 2009, Multidrug-resistant and extensively drug-resistant tuberculosis: consequences for the global HIV community, Curr. Opin. Infect. Dis., 22, 11, 10.1097/QCO.0b013e3283210020
Thomas, 2010, Modelling the spread of tuberculosis, including drug resistance and HIV: a case study in Papua New Guinea's Western Province, ANZIAM J., 52, 26, 10.1017/S1446181111000587
van den Driessche, 2002, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180, 29, 10.1016/S0025-5564(02)00108-6
UNAIDS, 1997. Tuberculosis and AIDS: Point of View.
World Health Organization, 2002. Strategic Frame Work to Decrease the Burden of TB/HIV.
World Health Organization, 2006. Geneva, Switzerland. http://www.who.int/hiv/mediacentre/02-Global_Summary_2006_EpiUpdate_eng.pdf.
World Health Organization, 2013. Tubercusosis Facts. http://www.who.int/mediacentre/factsheets/fs104/en/index.html (accessed 09.07.13).
Yan, 2007, Optimal quarantine and isolation strategies in epidemics control, World J. Model. Simulat., 3, 202