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      • Bilkent Theses
      • Theses - Department of Mathematics
      • Dept. of Mathematics - Master's degree
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      Modeling the latent period in compartmental epidemiological models

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      Author(s)
      Dizaji, Parvaneh Faraji
      Advisor
      Atay, Mehmet Fatihcan
      Date
      2023-01
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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      Abstract
      Two epidemiological models for the latent period are studied: the SEIR model and the SIR model with delay. Stability analysis of the endemic and the disease-free equilibria is performed for both models, and the basic reproduction number is determined. Using the meningococcal disease datasets of four countries, the best-fitted disease transmission rate is estimated by the least squares method, and the corresponding basic reproduction numbers are calculated for each country.
      Keywords
      Epidemic models
      SEIR model
      Latent period
      SIR model with delay
      Stability
      Basic reproduction number
      Parameter estimation
      Permalink
      http://hdl.handle.net/11693/111636
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      • Dept. of Mathematics - Master's degree 130
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