<?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>1409-2433</journal-id>
<journal-title><![CDATA[Revista de Matemática Teoría y Aplicaciones]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mat]]></abbrev-journal-title>
<issn>1409-2433</issn>
<publisher>
<publisher-name><![CDATA[Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1409-24332020000100157</article-id>
<article-id pub-id-type="doi">10.15517/rmta.v27i1.39966</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Dengue model with early-life stage of vectors and age-structure within host]]></article-title>
<article-title xml:lang="es"><![CDATA[Modelo de dengue con etapa temprana en vectores y estructura de edad en el huésped]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Sanchez]]></surname>
<given-names><![CDATA[Fabio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Calvo]]></surname>
<given-names><![CDATA[Juan G.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,University of Costa Rica School of Mathematics CIMPA]]></institution>
<addr-line><![CDATA[ San José]]></addr-line>
<country>Costa Rica</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,University of Costa Rica School of Mathematics CIMPA]]></institution>
<addr-line><![CDATA[ San José]]></addr-line>
<country>Costa Rica</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2020</year>
</pub-date>
<volume>27</volume>
<numero>1</numero>
<fpage>157</fpage>
<lpage>177</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332020000100157&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332020000100157&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332020000100157&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract We construct an epidemic model for the transmission of dengue fever with an early-life stage in the vector dynamics and age-structure within hosts. The early-life stage of the vector is modeled via a general function that supports multiple vector densities. The basic reproductive number and vector demographic threshold are computed to study the local and global stability of the infection-free state. A numerical framework is implemented and simulations are performed.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Se construye un modelo epidémico para la dinámica de transmisión de la fiebre del dengue con etapa temprana de vida en los vectores y estructura de edad en las clases de los huéspedes. La etapa de vida temprana del vector, se modela a través de una función general que admite múltiples densidades de vectores. El número reproductivo básico y vector de umbral demográfico, se calculan para estudiar la estabilidad local y global del estado libre de infección. Se implementa además un marco numérico y se realizan simulaciones.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[dengue fever]]></kwd>
<kwd lng="en"><![CDATA[epidemic models]]></kwd>
<kwd lng="en"><![CDATA[mathematical modeling]]></kwd>
<kwd lng="en"><![CDATA[vectorborne diseases]]></kwd>
<kwd lng="en"><![CDATA[age-structured model.]]></kwd>
<kwd lng="es"><![CDATA[dengue]]></kwd>
<kwd lng="es"><![CDATA[modelos epidémicos]]></kwd>
<kwd lng="es"><![CDATA[modelizaje matemático]]></kwd>
<kwd lng="es"><![CDATA[enfermedades vectoriales]]></kwd>
<kwd lng="es"><![CDATA[modelos con estructura de edad.]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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