<?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>0121-7488</journal-id>
<journal-title><![CDATA[Ciencia en Desarrollo]]></journal-title>
<abbrev-journal-title><![CDATA[Ciencia en Desarrollo]]></abbrev-journal-title>
<issn>0121-7488</issn>
<publisher>
<publisher-name><![CDATA[Universidad Pedagógica y Tecnológica de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-74882017000100009</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Dinámicas No-Lineales y No-Suaves en Procesos Estrés-Enfermedad]]></article-title>
<article-title xml:lang="en"><![CDATA[Nonlinear and Nonsmooth Dynamics in Stress-Sickness Processes]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Amador Moncada]]></surname>
<given-names><![CDATA[Jorge Armando]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Granada Díaz]]></surname>
<given-names><![CDATA[Héctor Andrés]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Redondo Ortegón]]></surname>
<given-names><![CDATA[Johan Manuel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Olivar Tost]]></surname>
<given-names><![CDATA[Gerard]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Electrónica y Computación Departamento de Ingeniería Eléctrica]]></institution>
<addr-line><![CDATA[Manizales ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad del Tolima Departamento de Matemáticas y Estadística ]]></institution>
<addr-line><![CDATA[Manizales ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Serio Arboleda Departamento de Matemáticas ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad Nacional Departamento de Matemáticas y Estadística ]]></institution>
<addr-line><![CDATA[Manizales ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2017</year>
</pub-date>
<volume>8</volume>
<numero>1</numero>
<fpage>9</fpage>
<lpage>19</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-74882017000100009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-74882017000100009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-74882017000100009&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen De acuerdo a referencias, existe una fuerte influencia del estrés con el desarrollo de enfermedades. En este trabajo se consideraron los atributos que hacen posible esa influencia para la elaboración de un modelo matemático que permite el planteamiento de escenarios que cambian con la frecuencia con la que un individuo implementa soluciones temporales para atender el estrés (pseudosoluciones) o cambia la frecuencia con la que recibe el tratamiento médico especializado para atender la enfermedad. Los resultados son concluyentes de la dinámica del comportamiento del sistema, permitiendo la configuración de escenarios en los que es posible que el paciente: 1) sane completamente, 2) alcance niveles estables de estrés-enfermedad que puede sobrellevar sin riesgos pero con la implementación de diferentes pseudosoluciones y tratamientos médicos, o 3) ponga en riesgo su vida.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract According to literature, there is a strong influence of stress with the emergence of diseases. In this paper the attributes that make possible this influence in order to develop a mathematical model that allows the approach of scenarios that change with the frequency an individual implements temporary solutions to deal with stress (pseudosolutions), or change the frequency with which it receives the specialized medical treatment to treat the disease were considered. Results are conclusive of the dynamic behavior of the system, allowing the configuration of different scenarios in which the individual: 1) is completely healed, 2) reaches stable levels of stress-sickness which can bear safely but with the implementation of different pseudosolutions and medical treatments, or 3) jeopardizes its life.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Estrés]]></kwd>
<kwd lng="es"><![CDATA[dinámica de sistemas]]></kwd>
<kwd lng="es"><![CDATA[sistemas dinámicos no suaves]]></kwd>
<kwd lng="es"><![CDATA[método convexo de Filippov]]></kwd>
<kwd lng="en"><![CDATA[Stress]]></kwd>
<kwd lng="en"><![CDATA[system dynamics]]></kwd>
<kwd lng="en"><![CDATA[non-smooth dynamical systems]]></kwd>
<kwd lng="en"><![CDATA[Filippov convex method]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>[1]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pinsky]]></surname>
<given-names><![CDATA[M. A]]></given-names>
</name>
<name>
<surname><![CDATA[Wolf]]></surname>
<given-names><![CDATA[S. W]]></given-names>
</name>
<name>
<surname><![CDATA[Wolf]]></surname>
<given-names><![CDATA[H. G]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["A Clinical Guide to Prognosis in stress diseases"]]></article-title>
<source><![CDATA[JAMA]]></source>
<year>1952</year>
<volume>149</volume>
<numero>18</numero>
<issue>18</issue>
<page-range>1624-8</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>[2]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Selye]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Stress in Health and Disease]]></article-title>
<source><![CDATA[Butterworth]]></source>
<year>1976</year>
</nlm-citation>
</ref>
<ref id="B3">
<label>[3]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cannon]]></surname>
<given-names><![CDATA[B]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["Walter Bradford Cannon: Reflections on the man and his contributions"]]></article-title>
<source><![CDATA[International Journal of Stress Management]]></source>
<year>1994</year>
<volume>1</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>145-58</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>[4]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mason]]></surname>
<given-names><![CDATA[J. W]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["A re-evaluation of the concept of "non-specificityin stress theory"]]></article-title>
<source><![CDATA[Journal of Psychiatric Research]]></source>
<year>1971</year>
<volume>8</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>323-33</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>[5]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Henry]]></surname>
<given-names><![CDATA[J. P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["Psychological Factors and Coronary Heart Disease"]]></article-title>
<source><![CDATA[Holistic Medicine]]></source>
<year>1987</year>
<volume>2</volume>
<numero>7</numero>
<issue>7</issue>
<page-range>119-32</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>[6]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rahe]]></surname>
<given-names><![CDATA[R. H]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["Psychosocial stressors and adjustment disorder: van Gogh's life chart illustrates stress and disease."]]></article-title>
<source><![CDATA[Journal of Clinical Psychiatry]]></source>
<year>1990</year>
<volume>51</volume>
<numero>11</numero>
<issue>11</issue>
<page-range>13-9</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>[7]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Holmes]]></surname>
<given-names><![CDATA[T. H]]></given-names>
</name>
<name>
<surname><![CDATA[Rahe]]></surname>
<given-names><![CDATA[R. H]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["The Social Readjustment Rating Scale."]]></article-title>
<source><![CDATA[Journal of Psychosomatic Research]]></source>
<year>1967</year>
<volume>11</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>203-10</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>[8]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Aracil]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Gordillo]]></surname>
<given-names><![CDATA[F]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["Dinámica de sistemas"]]></article-title>
<source><![CDATA[Alianza Editorial Madrid]]></source>
<year>1997</year>
</nlm-citation>
</ref>
<ref id="B9">
<label>[9]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sterman]]></surname>
<given-names><![CDATA[J. D]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["Business dynamics : systems thinking and modeling for a complex world"]]></article-title>
<source><![CDATA[McGraw-Hill]]></source>
<year>2000</year>
</nlm-citation>
</ref>
<ref id="B10">
<label>[10]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Senge]]></surname>
<given-names><![CDATA[P. M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["La quinta disciplina"]]></article-title>
<source><![CDATA[Granica]]></source>
<year>1992</year>
</nlm-citation>
</ref>
<ref id="B11">
<label>[11]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rojas]]></surname>
<given-names><![CDATA[C. A]]></given-names>
</name>
</person-group>
<source><![CDATA["Procesos Complejos del Estrés: Dinámica no-lineal"]]></source>
<year>2012</year>
<publisher-name><![CDATA[Universidad Nacional de Colombia]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<label>[12]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Filippov]]></surname>
<given-names><![CDATA[A. F]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["Differential Equations with Discontinuous Righthand Sides"]]></article-title>
<source><![CDATA[Kluwer Academic Publishers]]></source>
<year>1988</year>
</nlm-citation>
</ref>
<ref id="B13">
<label>[13]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Giaouris16]]></surname>
</name>
<name>
<surname><![CDATA[Maity]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Banerjee]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Pickert]]></surname>
<given-names><![CDATA[V]]></given-names>
</name>
<name>
<surname><![CDATA[Zahawi]]></surname>
<given-names><![CDATA[B]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["Application of Filippov Method for the Analysis of Subharmonic Instability in dc-dc Converters"]]></article-title>
<source><![CDATA[International Journal of Circuit Theory and Application]]></source>
<year>2008</year>
<volume>37</volume>
<numero>8</numero>
<issue>8</issue>
<page-range>899-919</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>[14]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dercole]]></surname>
<given-names><![CDATA[F]]></given-names>
</name>
<name>
<surname><![CDATA[Gragnanni]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Rinaldi]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["Bifurcation analysis of piecewise smooth ecological models"]]></article-title>
<source><![CDATA[Theoretical Population Biology]]></source>
<year>2007</year>
<volume>72</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>197-213</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>[15]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Amador]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["Smooth and Filippov Models of Sustainable Development: Bifurcations and Numerical Computations"]]></article-title>
<source><![CDATA[Differential Equations and Dynamical Systems]]></source>
<year>2013</year>
<volume>21</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>173-84</page-range></nlm-citation>
</ref>
<ref id="B16">
<label>[16]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Osorio]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
<name>
<surname><![CDATA[di Bernardo]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Santini]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["Corner-Impact Bifurcations: A Novel Class of Discontinuity-Induced Bifurcations in Cam-Follower Systems"]]></article-title>
<source><![CDATA[SIAM Journal on Applied Dynamical Systems.]]></source>
<year>2008</year>
<volume>7</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>18-38</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>[17]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[di Bernardo]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Budd]]></surname>
<given-names><![CDATA[C]]></given-names>
</name>
<name>
<surname><![CDATA[Champneys]]></surname>
<given-names><![CDATA[A. R]]></given-names>
</name>
<name>
<surname><![CDATA[Kowalczyk]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA["Piecewise-smooth Dynamical Systems: Theory and Applications"]]></article-title>
<source><![CDATA[Springer]]></source>
<year>2008</year>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
