December 28, 2021 Thesis Open Access

FAYERA WORKU TULU

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  <identifier identifierType="DOI">10.20372/nadre:16401</identifier>
  <creators>
    <creator>
      <creatorName>FAYERA WORKU TULU</creatorName>
    </creator>
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  <titles>
    <title>MALARIA MATHEMATICAL MODEL WITH AN ISOLATED  INFECTED HUMAN POPULATION</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2021</publicationYear>
  <dates>
    <date dateType="Issued">2021-12-28</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Thesis</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://nadre.ethernet.edu.et/record/16401</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.20372/nadre:16400</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="URL" relationType="IsPartOf">https://nadre.ethernet.edu.et/communities/20-25</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="URL" relationType="IsPartOf">https://nadre.ethernet.edu.et/communities/zenodo</relatedIdentifier>
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  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/odc-by">Open Data Commons Attribution License</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;ADVISOR: ALEMU GELETA (PhD)&lt;/p&gt;

&lt;p&gt;Summary of the proposal&lt;/p&gt;

&lt;p&gt;This proposal plan to develop a malaria mathematical model with an isolated infected human population that describes the impact of isolation on malaria epidemics transmi ssion. We introduce the back ground of the study. The model will be formulated using non-linear differential equations and it will be analyzed for disease free and endemic equilibrium point. We define the reproduction number in terms of parameters. Then the well positivity solution of the mathematical model in sense of epidemiology and mathematics will be studied. Both local and global stability analysis of equilibrium points will be investigated. Sensitivity analysis will be studied based on the model parameters to reveal the crucial steps in the dynamics of the diseases as a result of isolation. The proposed model will also be studied numerically to see the agreements with analytical results. Finally, the established model will be analyzed based on theory for identifying best control strategies with minimum cost and maximum benefit. The study will have a great contribution for health care sectors, public health policy makers, national health authorities, researchers and act as plat form for further studies of related problem&lt;/p&gt;</description>
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