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Title page for ETD etd-06232014-092332

Type of Document Dissertation
Author Huo, Xi
Author's Email Address xi.huo@vanderbilt.edu
URN etd-06232014-092332
Title A Disease Age Structured Model of Epidemic Population Dynamics with Public Health Interventions
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Glenn Webb Committee Chair
Alexander Powell Committee Member
Bryan Shepherd Committee Member
Douglas Hardin Committee Member
Philip Crooke Committee Member
  • partial differential equations
  • mathematical biology
  • epidemic disease
  • public health control
  • quarantine
  • contact tracing
Date of Defense 2014-04-22
Availability unrestricted
The work in this dissertation is about modeling the spread of an infectious disease in a closed community with two basic public health interventions: (i) identifying and isolating symptomatic cases, and (ii) tracing and quarantine of the contacts of identified infectives. Our aim is to evaluate the efficacy of tracing and quarantine strategies which are believed to be an important aspect of controlling an outbreak of emerging or re-emerging infectious diseases. The model is applicable in both emerging epidemics that require isolation, tracing, and quarantine, such as H1N1, SARS (severe acute respiratory syndrome), and influenzas, and re-emerging epidemics that requires isolation and certain vaccination strategies, such as a smallpox bioterrorist attack. Moreover, our model can be applied as a rational basis for decision makers to guide interventions and deploy public health resources in future epidemics.
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