Article citationsMore>>
Imamichi, H., Koita, O., Dabitao, D., Dao, S., Ibrahim, M., Sogoba, D., Dewar, R.L., Berg, S.C., Jiang, M.-K., Parta, M., Washington, J.A., Polis, M.A., Clifford Lane, H. and Tounkara, A. (2009) Identifaction and Characterization of CRF02_AG,CRF06_cpx, and CRF09_cpx Recombinant Subtypes in Mali, West Africa. Aids Research and Humain Retroviruses, Mary Ann Liebert, Inc., 25.
has been cited by the following article:
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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.
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