1 Ocak 2021 Dergi makalesi Açık Erişim

Fercec, Brigita; Dukaric, Masa; Aybar, Orhan Ozgur; Aybar, Ilknur Kusbeyzi

DataCite XML

<?xml version='1.0' encoding='utf-8'?>
<resource xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://datacite.org/schema/kernel-4" xsi:schemaLocation="http://datacite.org/schema/kernel-4 http://schema.datacite.org/meta/kernel-4.1/metadata.xsd">
  <identifier identifierType="DOI">10.48623/aperta.231350</identifier>
  <creators>
    <creator>
      <creatorName>Fercec, Brigita</creatorName>
      <givenName>Brigita</givenName>
      <familyName>Fercec</familyName>
    </creator>
    <creator>
      <creatorName>Dukaric, Masa</creatorName>
      <givenName>Masa</givenName>
      <familyName>Dukaric</familyName>
    </creator>
    <creator>
      <creatorName>Aybar, Orhan Ozgur</creatorName>
      <givenName>Orhan Ozgur</givenName>
      <familyName>Aybar</familyName>
      <affiliation>Piri Reis Univ, Fac Econ &amp; Adm Sci, Dept Management Informat Syst, TR-34940 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Aybar, Ilknur Kusbeyzi</creatorName>
      <givenName>Ilknur Kusbeyzi</givenName>
      <familyName>Aybar</familyName>
      <affiliation>Yeditepe Univ, Fac Educ, Dept Comp Educ &amp; Instruct Technol, TR-34755 Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Supercritical Hopf Bifurcations In Two Biochemical Reaction Systems</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2021</publicationYear>
  <dates>
    <date dateType="Issued">2021-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/231350</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.48623/aperta.231349</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">The characteristics of models representing biochemical phenomena exhibit complicated steady states and numerous state transitions that remain interesting in applications. Examining these states by combining the effective methods of bifurcation theory and computational algebra is profoundly appreciable to obtain bifurcation points near which the qualitative behavior of the model varies and parameter ranges that promote particular behavior. This study reveals several essential characteristics of two biochemical reaction models that have not been detected before. Utilizing the Lyapunov function, we compute the general form of the first Lyapunov coefficient to determine Hopf bifurcation for the Brusselator model. Then, for the smallest 3D biochemical reaction model, we obtain a center manifold up to third-degree to study Hopf bifurcation in this system. We demonstrate all results by numerical simulation.</description>
  </descriptions>
</resource>