<?xml version="1.0" encoding="UTF-8"?>
<item xmlns="http://omeka.org/schemas/omeka-xml/v5" itemId="15836" public="1" featured="0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://omeka.org/schemas/omeka-xml/v5 http://omeka.org/schemas/omeka-xml/v5/omeka-xml-5-0.xsd" uri="https://archives.christuniversity.in/items/show/15836?output=omeka-xml" accessDate="2026-05-21T12:45:58+00:00">
  <collection collectionId="5">
    <elementSetContainer>
      <elementSet elementSetId="1">
        <name>Dublin Core</name>
        <description>The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.</description>
        <elementContainer>
          <element elementId="50">
            <name>Title</name>
            <description>A name given to the resource</description>
            <elementTextContainer>
              <elementText elementTextId="64">
                <text>Articles</text>
              </elementText>
            </elementTextContainer>
          </element>
        </elementContainer>
      </elementSet>
    </elementSetContainer>
  </collection>
  <itemType itemTypeId="19">
    <name>Article</name>
    <description>Faculty Publications -Articles</description>
  </itemType>
  <elementSetContainer>
    <elementSet elementSetId="1">
      <name>Dublin Core</name>
      <description>The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/.</description>
      <elementContainer>
        <element elementId="50">
          <name>Title</name>
          <description>A name given to the resource</description>
          <elementTextContainer>
            <elementText elementTextId="118427">
              <text>Dynamics of a fractional epidemiological model with disease infection in both the populations</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="41">
          <name>Description</name>
          <description>An account of the resource</description>
          <elementTextContainer>
            <elementText elementTextId="118428">
              <text>In order to depict a situation of possible spread of infection from prey to predator, a fractional-order model is developed and its dynamics is surveyed in terms of boundedness, uniqueness, and existence of the solutions. We introduce several threshold parameters to analyze various points of equilibrium of the projected model, and in terms of these threshold parameters, we have derived some conditions for the stability of these equilibrium points. Global stability of axial, predator-extinct, and disease-free equilibrium points are investigated. Novelty of this model is that fractional derivative is incorporated in a system where susceptible predators get the infection from preys while predating as well as from infected predators and both infected preys and predators do not reproduce. The occurrences of transcritical bifurcation for the proposed model are investigated. By finding the basic reproduction number, we have investigated whether the disease will become prevalent in the environment. We have shown that the predation of more number of diseased preys allows us to eliminate the disease from the environment, otherwise the disease would have remained endemic within the prey population. We notice that the fractional-order derivative has a balancing impact and it assists in administering the co-existence among susceptible prey, infected prey, susceptible predator, and infected predator populations. Numerical computations are conducted to strengthen the theoretical findings.  2021 Author(s).</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="39">
          <name>Creator</name>
          <description>An entity primarily responsible for making the resource</description>
          <elementTextContainer>
            <elementText elementTextId="118429">
              <text>Baishya C.; Achar S.J.; Veeresha P.; Prakasha D.G.</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="48">
          <name>Source</name>
          <description>A related resource from which the described resource is derived</description>
          <elementTextContainer>
            <elementText elementTextId="118430">
              <text>Chaos, Vol-31, No. 4</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="45">
          <name>Publisher</name>
          <description>An entity responsible for making the resource available</description>
          <elementTextContainer>
            <elementText elementTextId="118431">
              <text>American Institute of Physics Inc.</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="40">
          <name>Date</name>
          <description>A point or period of time associated with an event in the lifecycle of the resource</description>
          <elementTextContainer>
            <elementText elementTextId="118432">
              <text>2021-01-01</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="43">
          <name>Identifier</name>
          <description>An unambiguous reference to the resource within a given context</description>
          <elementTextContainer>
            <elementText elementTextId="118433">
              <text>&lt;a href="https://doi.org/10.1063/5.0028905" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1063/5.0028905&lt;/a&gt;
&lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104558289&amp;amp;doi=10.1063%2F5.0028905&amp;amp;partnerID=40&amp;amp;md5=67e24e5788382ada35234cb8ea812796" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104558289&amp;amp;doi=10.1063%2f5.0028905&amp;amp;partnerID=40&amp;amp;md5=67e24e5788382ada35234cb8ea812796&lt;/a&gt;</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="47">
          <name>Rights</name>
          <description>Information about rights held in and over the resource</description>
          <elementTextContainer>
            <elementText elementTextId="118434">
              <text>Restricted Access</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="46">
          <name>Relation</name>
          <description>A related resource</description>
          <elementTextContainer>
            <elementText elementTextId="118435">
              <text>ISSN: 10541500; PubMed ID: 34251253</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="42">
          <name>Format</name>
          <description>The file format, physical medium, or dimensions of the resource</description>
          <elementTextContainer>
            <elementText elementTextId="118436">
              <text>Online</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="44">
          <name>Language</name>
          <description>A language of the resource</description>
          <elementTextContainer>
            <elementText elementTextId="118437">
              <text>English</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="51">
          <name>Type</name>
          <description>The nature or genre of the resource</description>
          <elementTextContainer>
            <elementText elementTextId="118438">
              <text>Article</text>
            </elementText>
          </elementTextContainer>
        </element>
        <element elementId="38">
          <name>Coverage</name>
          <description>The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant</description>
          <elementTextContainer>
            <elementText elementTextId="118439">
              <text>Baishya C., Department of Studies and Research in Mathematics, Tumkur University, Tumkur, 572103, Karnataka, India; Achar S.J., Department of Studies and Research in Mathematics, Tumkur University, Tumkur, 572103, Karnataka, India; Veeresha P., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Prakasha D.G., Department of Mathematics, Faculty of Science, Davangere University, Shivagangothri, Davangere, 577007, India</text>
            </elementText>
          </elementTextContainer>
        </element>
      </elementContainer>
    </elementSet>
  </elementSetContainer>
</item>
