The role of screening and treatment in the transmission dynamics of HIV/AIDS and tuberculosis co-infection: a mathematical study

Integrating HIV/AIDS and TB Efforts: The challenge for the President’s AIDS Initiative. Open Society Institute, New York Public Health Programs. http://www.soros.org/initiatives/health/articlespublications/publications/integrating_tb_20040218 (2004)

HIV-TB Co-infection-A Guide for Medical Officers, National AIDS Control Organization. Ministry of Health & Family Welfare, Government of India. http://www.nacoonline.org/publication/12.pdf (2006)

World Health Organization HIV/TB Facts. http://www.who.int/hiv/topics/tb/hiv_tb_factsheet_june_2011.pdf (2011)

Sharomi, O., Podder, C.N., Gumel, A.B.: Mathematical analysis of the transmission dynamics of HIV/TB. co-infection in the presence of treatment. Math. Biosci. Eng. 5(1), 145–174 (2008)

Anderson, R.M., Ray, R.M.: Infectious Diseases of Humans. Oxford, University, Press, London (1991)

Bhunu, C.P., Garira, W., Mukandavire, Z.: Modeling HIV/AIDS and tuberculosis coinfection. Bull. Math. Biol. 71, 1745–1780 (2009)

Srinivasa Rao, A.S.R.: Mathematical modeling of AIDS epidemic in India. Curr. Sci. 84(9), 1192–1197 (2003)

Naresh Dileep Sharma, R., Tripathi, A.: Modelling the effect of tuberculosis on the spread of HIV infection in a population with density-dependent birth and death rate. Math. Comput. Model. 50, 1154–1166 (2009)

Hyman, J.M., Li, J., Stanley, E.A.: Modeling the impact of random screening and contact tracing in reducing the spread of HIV. Math. Biosci. 181, 17–54 (2003)

Roeger, L.-I.W., Feng, Z., Castillo-Chavez, C.: Modeling TB and HIV co-infections. Math. Biosci. Eng. 6(4), 815–837 (2009)

Mukandavire, Z., Garira, W., Tchuenche, J.M.: Modelling effects of public health educational campaigns on HIV/AIDS transmission dynamics. Appl. Math. Model. 33(4), 2084–2095 (2009)

Bhunu, C.P., Mushayabasa, S., Kojouharov, H., Tchuenche, J.M.: Mathematical analysis of an HIV/AIDS model: impact of educational programs and abstinence in Sub-Saharan Africa. J. Math. Model. Algoritm. 10(1), 31–55 (2010)

Mukandavire, Z., Das, P., Chiyaka, C., Nyabadza, F.: Global analysis of an HIV/AIDS epidemic model. World J. Model. Simul. 6(3), 231–240 (2010)

Yang, J.-Y., Wang, X.-Y., Li, X.-Z., Zhang, F.-Q., Bhattacharya, S.: An HIV model: Theoretical analysis and experimental verification. Comput. Math. Appl. 61, 2172–2176 (2011)

Tripathi, A., Naresh, R., Sharma, D.: Modelling the effect of screening of unaware infectives on the spread of HIV infection. Appl. Math. Comput. 184, 1053–1068 (2007)

Naresh, R., Tripathi, A., Sharma, D.: A non-linear AIDS epidemic model with screening and time delay. Appl. Math. Comput. 217, 4416–4426 (2011)

Lakshmikantham, V., Leela, S., Martynyuk, A.A.: Stability Analysis of Nonlinear Systems. Marcel Dekker Inc., New York (1989)

Bhatia, N., Szeg, G.: Stability Theory of Dynamical Systems. Springer-Verlag, New York (1970)

Lyapunov, A.M.: The General Problem of the Stability of Motion. Taylor and Francis, London (1992)

Carr, J.: Applications of Centre Manifold Theory. Springer, New York (1981)

Castillo-Chavez, C., Song, B.: Dynamical model of tuberclosis and their applications. Math. Biosci. Eng. 1, 361–404 (2004)

van den Driessche, P., Watmough, J.: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180, 29–48 (2002)

Castillo-Chavez, C., Feng, Z., Huang, W.: On the computation of R0 and its role on global stability. www.math.la.asu.edu/chavez/2002/JB276.pdf (2002)

Ermentrout, B.: Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students, 1st edn. SIAM, Philadelphia (2002)