Geodesic
Analysis of global dynamics for HIV-infection of CD4+T cells and its treatment
Mathematica Applicanda, Tome 46 (2018) no. 1, pp. 35-48.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Antiviral therapy for HIV-infected patients has greatly improved in recent years. Administration of drug combinations consisting of two or more different drugs can reduce and maintain virus load below detection level in many patients. Cyclic administration of the immune activator interleukin-2 (IL-2) in combination with highly active antiretroviral therapy (HAART) has been suggested as an effective strategy to realize long-term control of HIV replication in vivo. In this article, we formulate a mathematical model of immune response for HIV-infected individual in the presence of HAART and IL-2. We look for the conditions under which the immune system recovers by applying IL-2 as an immune activator along with HAART. From analytical point of view this means global stability of the disease-free equilibrium. Comprehensive numerical simulations are presented to illustrate the analytical results.
DOI : 10.14708/ma.v46i1.6369
Classification : 92B05, 34C11, 34D20, 34K60, 92C60
Mots-clés : HIV, CD4+T cell, IL-2, HAART therapy, global stability 
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Mariusz Bodzioch; Marcin Choiński; Urszula Foryś. Analysis of global dynamics for HIV-infection of CD4+T cells and its treatment. Mathematica Applicanda, Tome 46 (2018) no. 1, pp.  35-48. doi : 10.14708/ma.v46i1.6369. http://geodesic.mathdoc.fr/articles/10.14708/ma.v46i1.6369/

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