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has been cited by the following article:

• TITLE: Mathematical Model of HIV-1 Circulating Recombinants Forms in Mali

  AUTHORS: Mahamadou Alassane, Amadou Mahamane, Ouaténi Diallo, Jérôme Pousin

  KEYWORDS: Asymptotic Stability, Basic Reproduction Number of the CRF-2 or CRF-12 Infected, Controllability

  JOURNAL NAME: Open Journal of Modelling and Simulation, Vol.3 No.4, September 24, 2015

  ABSTRACT: In this paper, we propose a determinist mathematical model for the co-circulating into two circulating recombinants forms (CRFs) Of HIV-disease in Mali. We divide the sexually active population within three compartments (susceptible, CRF-1 infected and CRF-2 or CRF-12 infected) and study the dynamical behavior of this model. Then, we define a basic reproduction number of the CRF-2 or CRF-12 infected individuals R0 and shown that the CRF-2 or CRF-12 infected-free equilibrium is locally-asymptotically stable if R0 1 (thus the CRF-2 or CRF-12 infected invade in the population). Fur-thermore, we prove that under certain conditions on the parameters of the model the controllability of CRF-2 or CRF-12 infected with regard to the CRF-1 infected. Numerical simulations are given to illustrate the results.