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Epidemic Dynamics Modelling and Analysis for the Respiratory Infectious Diseases: Control, Prevention and Treatment

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dc.contributor.advisorHeffernan, Jane M.
dc.contributor.authorAlthubyani, Mohammed Saleh
dc.date.accessioned2022-08-08T15:42:07Z
dc.date.available2022-08-08T15:42:07Z
dc.date.copyright2021-09-01
dc.date.issued2022-08-08
dc.date.updated2022-08-08T15:42:07Z
dc.degree.disciplineMathematics & Statistics
dc.degree.levelDoctoral
dc.degree.namePhD - Doctor of Philosophy
dc.description.abstractThe goal of this thesis is to develop and analyze mathematical models of respiratory infection diseases, particularly MERS-CoV and influenza, that affect the Middle East daily, and through the Hajj Mass Gathering, to aid in understanding of how these diseases can be spread, and how they may be controlled through public health mitigation. The thesis work employs deterministic and stochastic models of disease transmission between humans and between animals and humans in different settings. We also include analysis of disease spread in a network, and using metapopulation models. We concentrate on the creation and use of models either as criteria for evaluation or as a way of understanding the epidemiological processes with theoretical findings using the following considerations: 1) Developing and checking hypotheses; evaluating quantitative assumptions; measuring sensitivity to changes in model parameters; assessing process conditions from data. 2) Evaluating and contrasting the efficacy of different public health interventions. 3) Interpreting mathematical results to the biological questions. 4) Evaluating the basic reproduction number $ R_{0} $ to provide the early estimates of epidemiological thresholds. 5) Investigating the local and global stability for the equilibrium points.
dc.identifier.urihttp://hdl.handle.net/10315/39557
dc.languageen
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subjectEpidemiology
dc.subject.keywordsEpidemic dynamics modeling
dc.subject.keywordsRespiratory infection diseases (MERS-CoV)
dc.subject.keywordsMass gathering (Hajj)
dc.subject.keywordsTwo species (zoonotic)
dc.subject.keywordsEpidemic on networks
dc.subject.keywordsEnvironmental infection transmission
dc.subject.keywordsPublic health
dc.subject.keywordsEpidemiology
dc.subject.keywordsStability analysis
dc.subject.keywordsGeneral mobility process
dc.subject.keywordsDeterministic and stochastic models.
dc.titleEpidemic Dynamics Modelling and Analysis for the Respiratory Infectious Diseases: Control, Prevention and Treatment
dc.typeElectronic Thesis or Dissertation

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