Abstract

TORO-ZAPATA, Hernán Darío; OSORIO-RODRIGUEZ, Angie Johanna  and  PRIETO-MEDELLIN, Dennis Alexander. Model for effective access to antiretroviral treatment in relation to the therapeutic failure of HIV infection. Rev.EIA.Esc.Ing.Antioq [online]. 2019, vol.16, n.31, pp.115-130. ISSN 1794-1237.  https://doi.org/10.24050/reia.v16i31.1235.

A mathematical model based on ordinary nonlinear differential equations is proposed to interpret the effect of effective access and therapeutic failure in HIV infection among a population. The model only considers sexual transmission. The analysis is made by determining the basic reproduction number, R 0 , the equilibrium points of the system and their local stability. Subsequently, two thresholds are determined to stablish sufficient conditions to avoid the manifestation of infection among the population. The first threshold is relates to therapeutic failure and based on access to antiretroviral treatment; the second threshold is only related to access to treatment and other parameters of the model; in each case they are determined to be the minimum quantities that must hold to have effective access and therapeutic failure, and therefore, to guarantee smaller levels of infection.

Keywords : Dynamic system; Antiretroviral treatment; Effective access; Therapeutic failure.

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