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Analysis and Optimal Control of an HIV Model with Immune Response

An HIV model incorporating immune response is considered. The basic reproduction number is exhibited. The global stability of the virus free equilibrium is proved and the stability of the endemic equilibrium in a special case is studied. Optimal control is applied to our model to maximize the healthy cells and minimize the cost of treatments.

Article Number:
MTBI-08-03M

Year:
2011

Authors:
Derdei Bichara, University of Metz & INRIA NGE
Angelica Caicedo-Casso, University of Cincinnati
Dario Toro-Zapata, Universidad del Quindo
Sunmi Lee, Arizona State University

analysis_and_optimal_control_of_an_hiv_model_with_immune_response_.pdf