abstract

• The Human Immunodeficiency Virus (HIV) model used in this paper, describes a patient%27s infection initial stage by means of a three-state-variable model. The dynamics of the patient%27s evolution is analysed during a 500 day term, where the range of day-long transient response is clearly shown, and then the trend towards the asymptotic state is shown. This cell behavior is the patient%27s state before patient develops AIDS. Based on that information, an estimate of the exponential uniform bound for perturbation, as well as the phase-space attraction region are shown. This information will be helpful for the physician personal in order to obtain a benign transient concerning the viral load dynamics. For the schedule of therapy it is desired. © 2011 IEEE.
• The Human Immunodeficiency Virus (HIV) model used in this paper, describes a patient's infection initial stage by means of a three-state-variable model. The dynamics of the patient's evolution is analysed during a 500 day term, where the range of day-long transient response is clearly shown, and then the trend towards the asymptotic state is shown. This cell behavior is the patient's state before patient develops AIDS. Based on that information, an estimate of the exponential uniform bound for perturbation, as well as the phase-space attraction region are shown. This information will be helpful for the physician personal in order to obtain a benign transient concerning the viral load dynamics. For the schedule of therapy it is desired. © 2011 IEEE.

authors

• Campos Cantón Isaac
• Castellanos-Velasco E.
• Ortiz-Moctezuma M.B.
• Santos-Ferreira J.

publication date

• 2011-01-01

published in

• CCE 2011 - 2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control, Program and Abstract Book  Proceedings

keywords

• exponentially uniform dynamics; HIV infection model; Lyapunov converse analysis; region ofattraction Asymptotic state; Attraction region; Cell behaviors; HIV infection; HIV infection model; Human immunodeficiency virus; Initial stages; Lyapunov; Phase spaces; region ofattraction; Viral load; Automation; Control; Dynamics; Phase space methods; Process control; Transients; Viruses; Diseases

Digital Object Identifier (DOI)

• 10.1109/ICEEE.2011.6106709

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