Mathematical Model of HIV-1 Circulating Recombinants Forms in Mali

• 作者: Amadou Mahamane Jér?me Pousin Mahamadou Alassane Ouaténi Diallo
• 来源期刊: 建模与仿真(英文)
• 学科: 数学
• 关键词: Asymptotic Stability Basic REPRODUCTION Number of the CRF-2 or CRF-12 Infected CONTROLLABILITY
• 年，卷（期）: 2015,（4）
• 页码范围: 137-145
• 页数: 9页
• 分类号: O1

摘要

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.