Epidemiological Model and Public Health Sensitization in Mali

Mahamadou Alassane

Département de Mathématiques et d’Informatique, Faculté des Sciences et Techniques, Bamako, Mali.

DOI: 10.4236/am.2015.610151                

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.

Keywords

HIV-AIDS, Basic Reproduction Number, Global Stability, Public Health

Conflicts of Interest

The authors declare no conflicts of interest.

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