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 OJMSi  Vol.3 No.4 , October 2015
Mathematical Model of HIV-1 Circulating Recombinants Forms in Mali
Mahamadou Alassane1, Amadou Mahamane1, Ouaténi Diallo1, Jérôme Pousin2
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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 becomes extinct in population) and unstable 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.
Keywords: Asymptotic Stability, Basic Reproduction Number of the CRF-2 or CRF-12 Infected, Controllability
Cite this paper: Alassane, M. , Mahamane, A. , Diallo, O. and Pousin, J. (2015) Mathematical Model of HIV-1 Circulating Recombinants Forms in Mali. Open Journal of Modelling and Simulation, 3, 137-145. doi: 10.4236/ojmsi.2015.34015.
References

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