<?xml version="1.0" encoding="UTF-8"?>
<mods xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.loc.gov/mods/v3" version="3.1" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
  <titleInfo>
    <title>Mathematical modelling of covid-19 transmission and vaccine effectiveness for a university</title>
  </titleInfo>
  <name type="personal">
    <namePart>Shahirah Atikah Binti Mohamad Husnin</namePart>
    <role>
      <roleTerm authority="marcrelator" type="text">creator</roleTerm>
    </role>
    <role>
      <roleTerm type="text">author.</roleTerm>
    </role>
  </name>
  <typeOfResource manuscript="yes">text</typeOfResource>
  <originInfo>
    <place>
      <placeTerm type="code" authority="marccountry">my</placeTerm>
    </place>
    <dateIssued encoding="marc">2024</dateIssued>
    <copyrightDate encoding="marc">2024</copyrightDate>
    <issuance>monographic</issuance>
  </originInfo>
  <language>
    <languageTerm authority="iso639-2b" type="code">eng</languageTerm>
  </language>
  <physicalDescription>
    <extent>xii, 137 pages : illustrations (some color) ; 30 cm. + 1 CD-ROM</extent>
  </physicalDescription>
  <abstract>Due to the ongoing Coronavirus Disease 2019 (COVID-19) endemic, proper mathematical modelling to capture disease transmission is an essential tool for developing control methods and identifying driving factors in disease dynamics. However, COVID-19 modelling is not a one-size-fits-all approach, as it varies depending on many factors such as vaccination, intervention measures, social distancing and population. In this study, an improved mathematical model was proposed with time-dependent epidemiological parameters for COVID-19 by considering the factors of lockdown and vaccination for a university in Malaysia. The model is based on Susceptible-Infected-Recovered-Dead (SIRD) framework and in the form of a set of Ordinary Differential Equations. The model development involved three stages. It begins with the simplest setting of the model which used constant epidemiological parameters known as Model I that neglect the vaccination factor. Then, the model's complexity was increased to Model II, utilizing the time-dependent epidemiological parameters. The final stage is Model III which used time-dependent epidemiological parameters and included the vaccination factor. The models were numerically solved using the Runge Kutta fourth order method (RK4) and parameter fitting techniques namely Pattern Search and Nelder-Mead Simplex algorithm embedded in MATLAB software. In addition, a sensitivity analysis of the parameters was carried out to determine the relative influence of the model parameters on disease transmissions. To validate the results, a comparison between the model and the actual data was carried out and measured using mean absolute percentage error (MAPE) and root mean squared error (RMSE). As a result, Model III was adequately fitted to the actual data. In addition, a MATLAB-based graphical user interface (GUI) was developed to provide a better insight to the effectiveness of the vaccine in a population. The GUI is able to provide a rough percentage of vaccine effectiveness, as indicated by the good agreement of the projection and the actual data for the university. This research offers healthcare personnel a validated mathematical model along with tools for analysis and visualization which enables to make data-driven decisions and effectively manage the impact of COVID-19 within the university population. In future work, the developed mathematical model can be extended to incorporate the diversity of available vaccines, considering their varying efficacies and mechanisms of action.</abstract>
  <targetAudience authority="marctarget">specialized</targetAudience>
  <note type="statement of responsibility">Shahirah Atikah Binti Mohamad Husnin</note>
  <note>Centre for Mathematical Sciences</note>
  <note>Thesis (Master of Science (Mathematics)) -- Universiti Malaysia Pahang – 2024</note>
  <note>Includes bibliographical references</note>
  <subject authority="lcsh">
    <name type="corporate">
      <namePart>Centre for Mathematical Sciences</namePart>
    </name>
    <topic>Dissertations</topic>
  </subject>
  <subject authority="lcsh">
    <topic>Universities and colleges</topic>
    <topic>Dissertations</topic>
  </subject>
  <subject authority="lcsh">
    <topic>Theses</topic>
    <topic>Dissertations</topic>
  </subject>
  <identifier type="isbn">THE0009844 (Local)</identifier>
  <recordInfo>
    <recordContentSource authority="marcorg">UMPSA</recordContentSource>
    <recordCreationDate encoding="marc">240524</recordCreationDate>
    <recordChangeDate encoding="iso8601">20251125110857.0</recordChangeDate>
    <languageOfCataloging>
      <languageTerm authority="iso639-2b" type="code">eng</languageTerm>
    </languageOfCataloging>
  </recordInfo>
</mods>
