<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1794-1237</journal-id>
<journal-title><![CDATA[Revista EIA]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.EIA.Esc.Ing.Antioq]]></abbrev-journal-title>
<issn>1794-1237</issn>
<publisher>
<publisher-name><![CDATA[Escuela de ingenieria de Antioquia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1794-12372019000100115</article-id>
<article-id pub-id-type="doi">10.24050/reia.v16i31.1235</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Modelo para el acceso efectivo al tratamiento antirretroviral en relación con el fracaso terapéutico de la infección por VIH]]></article-title>
<article-title xml:lang="en"><![CDATA[Model for effective access to antiretroviral treatment in relation to the therapeutic failure of HIV infection]]></article-title>
<article-title xml:lang="pt"><![CDATA[Modelo para acesso efetivo ao tratamento anti-retroviral em relação à falha terapêutica da infecção pelo HIV]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Toro-Zapata]]></surname>
<given-names><![CDATA[Hernán Darío]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Osorio-Rodríguez]]></surname>
<given-names><![CDATA[Angie Johanna]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Prieto-Medellin]]></surname>
<given-names><![CDATA[Dennis Alexander]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad del Quindío  ]]></institution>
<addr-line><![CDATA[Armenia ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<volume>16</volume>
<numero>31</numero>
<fpage>115</fpage>
<lpage>130</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S1794-12372019000100115&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S1794-12372019000100115&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S1794-12372019000100115&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Se plantea un modelo matemático con base en ecuaciones diferenciales ordinarias no lineales que interpreta el efecto que el acceso efectivo y el fracaso terapéutico tienen en una población infectada con el VIH, en la que se considera únicamente la transmisión del virus es por vía sexual con una persona portadora. Se hace el análisis del modelo matemático, determinando el número básico de reproducción R 0 , los puntos de equilibrio del sistema y se prosigue estableciendo U la estabilidad local de los mismos. Posteriormente se determinan dos umbrales que sugieren condiciones para evitar la manifestación de la infección en la población. El primer umbral relaciona el fracaso terapéutico en función del acceso efectivo al tratamiento antirretroviral y el segundo umbral es solo para el acceso efectivo al tratamiento en función de otros parámetros del modelo; en cada caso se determinan cuáles son las cantidades mínimas que se deben asegurar tanto de acceso efectivo como de fracaso terapéutico para garantizar teóricamente que la enfermedad sea controlada.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract 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.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo Um modelo matemático é proposto e baseado em equações diferenciais não lineares que interpretam o efeito que o acesso eficaz e o fracasso do tratamento ocorre numa população infectada pelo HIV em que só a transmissão do vírus é considerada sexualmente transmitida com uma pessoa portadora. É analisado o método matemático, determinando o número básico de reprodução R0, os pontos de equilíbrio do sistema e seguidamente é estabelecida a estabilidade local dos mesmos. Posteriormente, são determinados dois limiares que sugerem condições para evitar a manifestação da infecção na população. O primeiro limiar refere-se ao fracasso do tratamento com base no acesso eficaz para a terapia anti-retroviral e o segundo limiar é o único acesso ao tratamento eficaz fundamentado em outros parâmetros do modelo. Em cada caso, são determinadas as quantias mínimas que devem ser mantidas tanto para o acesso efetivo ao tratamento como para a falha terapêutica, garantindo teoricamente que a doença é controlada.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Sistema dinámico]]></kwd>
<kwd lng="es"><![CDATA[Tratamiento antirretroviral]]></kwd>
<kwd lng="es"><![CDATA[Acceso efectivo]]></kwd>
<kwd lng="es"><![CDATA[Fracaso terapéutico]]></kwd>
<kwd lng="en"><![CDATA[Dynamic system]]></kwd>
<kwd lng="en"><![CDATA[Antiretroviral treatment]]></kwd>
<kwd lng="en"><![CDATA[Effective access]]></kwd>
<kwd lng="en"><![CDATA[Therapeutic failure]]></kwd>
<kwd lng="pt"><![CDATA[Sistema dinâmico]]></kwd>
<kwd lng="pt"><![CDATA[Terapia anti-retroviral]]></kwd>
<kwd lng="pt"><![CDATA[Acesso eficaz]]></kwd>
<kwd lng="pt"><![CDATA[Fracasso do tratamento]]></kwd>
</kwd-group>
</article-meta>
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