AM  Vol.6 No.10 , September 2015
Epidemiological Model and Public Health Sensitization in Mali
Abstract: In this paper we propose a mathematical model to evaluate the impact of public health sensitization campaign on the spread of HIV-AIDS in Mali. We analyse rigorously this model to get insight into its dynamical features and to obtain associated epidemiological thresholds. If R0 < 1, we show that the disease-free equilibrium of the model is globally asymptotically stable when the public health sensitization program is 100% effective. The impact of public health sensitization strategies is assessed numerically by simulating the model with a reasonable set of parameter values (mostly chosen from the literature) and initial demographic data from Mali.
Cite this paper: Alassane, M. (2015) Epidemiological Model and Public Health Sensitization in Mali. Applied Mathematics, 6, 1696-1711. doi: 10.4236/am.2015.610151.

[1]   Lounes, R. and De Arazoza, H. (1999) A Two-Type Model for the Cuban National Programme on HIV-AIDS. IMA Journal of Mathematics Applied in Medicine and Biology, 16, 143-154.

[2]   McCluskey, C.C. (2003) A Model of HIV/AIDS with Staged Progressionv and Amelioration. Mathematical Biosciences, 181, 1-16.

[3]   Gumel, A.B., McCluskey, C.C. and van den Driessche, P. (2006) Mathematical Study of a Staged-Progression HIV Model with Imperfect Vaccine. Mathematical Biosciences, 68, 2105-2128.

[4]   Smith, R.J., Li, J., Gordon, R. and Heffernan, J.M. (2009) Can We Spend Our Way out of the AIDS Epidemic? A World Halting AIDS Model. BMC Public Health, 9, S15.

[5]   Mukandavire, Z., Garira, W. and Chiyaka, C. (2007) Asymptotic Properties of an HIV/AIDS Model with a Time Delay. Journal of Mathematical Analysis and Applications, 330, 916-933.

[6]   Hyman, J.M. and Stanley, E.A. (1998) Using Mathematical Models to Understand the AIDS Epidemic. Mathematical Biosciences, 90, 415-473.

[7]   Alfonseca, M., Martinez-Bravo, M.T. and Torrea, J.L. (2000) Mathematical Models for the Analysis of Hepatitis B and AIDS Epidemics. Simulation, 74, 219-226.

[8]   Srinivasa, A.S.R. (2003) Mathematical Modelling of AIDS Epidemic in India. Current Science, 84, 1193-1197.

[9]   Luboobi, L.S. (1991) Mathematical Models for the Dynamics of the AIDS Epidemic. In: Patel, M.S. and Noke, S., Eds., Biometry for Development, ICIPE, Science Press, Nairobi, 76-83.

[10]   Mugisha, J.Y.T. (1997) The Mathematical Dynamics of HIV-AIDS Epidemic in Age-Structured Population. Proceedings XI SAMSA Symposium on the Potential of Mathematical Modeling of Problems from the SAMSA Region, 8-23.

[11]   Anderson, R.M., Medley, G.F., May, R.M. and Johnson, A.M. (1986) A Preliminary Study of the Transmission Dynamics of the Human Immunodeficiency Virus (HIV), the Causative Agent of AIDS. IMA Journal of Mathematics Applied in Medicine and Biology, 3, 229-263.

[12]   Alassane, M., Diallo, O. and Pousin, J. (2011) Individual Behavior and Epidemiological Model. Journal of Applied Mathematics and Bioinformatics, 1, 57-74.

[13]   Anderson, R.M. (1988) The Role of Mathematical Models in the Study of HIV Transmission and the Epidemiology of AIDS. Journal of Acquired Immune Deficiency Syndromes, 1, 241-256.

[14]   Blower, S.M. and Dowlatabadi, H. (1994) Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission. International Statistical Review, 62, 229-243.

[15]   Del Valle, S., Ecangelista, A.M., Velasco, M.C., Kribs-Zaleta, C.M. and Hsu Schmitz, S.-F. (2004) Effects of Sensitization, Vaccination and Treatment on HIV Transmission in Homosexuals with Genetic Heterogeneity. Mathematical Biosciences, 187, 111-133.

[16]   Kribs-Zaleta, C. and Halesco-Hernandez, J. (2000) A Simple Vaccination Model with Multiple Endemic States. Mathematical Biosciences, 164, 183-201.

[17]   Mukandavire, Z., Garira, W. and Tchuenche, J.M. (2009) Modelling Effects of Public Health Sensitizational Campaigns on HIV-AIDS Transmission Dynamics. Applied Mathematical Modelling, 33, 2084-2095.

[18]   Mukandavire, Z. and Garira, W. (2007) Effects of Public Health Sensitizational Campaigns and the Role of Sex Workers on the Spread of HIV-AIDS among Heterosexuals. Theoretical Population Biology, 72, 346-365.

[19]   Hussaini, N., Winter, M. and Gumel, A.B. (2010) Qualitative Assessment of the Role of Public Health Sensitization Program on HIV Transmission Dynamics. Mathematical Medicine and Biology: A Journal of the IMA, 28, 245-270.