Dynamics and thresholds of a simple epidemiological model: example of hiv/aids in mali.

O. Diallo (1) , Y.-F. Kone (1) , Jérôme Pousin (2)

1 Université de Bamako
2 ICJ - Institut Camille Jordan

In this paper, we assume that the recruitment of susceptible is done among the juvenile group. We propose a dynamical system to modelize the disease spread, and we study the dynamical behavior of this system. Then, the controllability of the system is studied. We prove that the survival rate allows to control the dynamic of the system. Numerical simulations are given to illustrate the results.

Domaines: Analyse numérique [math.NA]

O. Diallo, Y.-F. Kone, Jérôme Pousin. Dynamics and thresholds of a simple epidemiological model: example of hiv/aids in mali.. International Journal of Mathematics and Mathematical Sciences, 2010, 2010, pp.Article ID 638021. ⟨10.1155/2010/638021Int.Jour.ofMath.andMath.Sci⟩. ⟨hal-00830877⟩