<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-dynamical-systems-and-geometric-theories</journal-id>
      <journal-title-group>
        <journal-title>Journal of Dynamical Systems and Geometric Theories</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0057</issn>
      <issn publication-format="print">1726-037X</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1080/1726037X.2019.1614248</article-id>
      <title-group>
        <article-title>Dynamics of Rumor Spreading With a Controller Agent</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Fazli</surname>
            <given-names>Hossein</given-names>
          </name>
          <aff>Young Researchers and Elite Club, Islamic Azad University, North Tehran Branch, Tehran, Iran</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Ebadizadeh</surname>
            <given-names>Hojjat Allah</given-names>
          </name>
          <aff>Young Researchers and Elite Club, Islamic Azad University, Islamshahr Branch, Islamshahr, Iran</aff>
        </contrib>
      </contrib-group>
      <volume>17</volume>
      <issue>1</issue>
      <fpage>61</fpage>
      <lpage>70</lpage>
      <pub-date date-type="pub">
        <day>16</day>
        <month>05</month>
        <year>2019</year>
      </pub-date>
      <abstract>
        <p>In this paper, a new rumor spreading model, Ignorant-SpreaderStifler-Controller (ISRC) model, is developed. The model extends the classical Ignorant-Spreader-Stifler (ISR) rumor spreading model by adding a new kind of people that spread a new rumor against previous rumor to control and reduce the maximum rumor influence. We derive a dynamical system that describe the dynamics of the ISRC model. Beside the dynamical analysis of the model, we consider asymptotical stability in equilibrium point. Numerical simulations are also conducted to support our analytic results.</p>
      </abstract>
      <kwd-group>
        <kwd>Epidemic modelRumor spreadingAsymptotic behaviorNumerical simulations</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
