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      Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes

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      Author
      Gölgeli, M.
      Atay, Fatihcan M.
      Date
      2020
      Source Title
      Hacettepe Journal of Mathematics and Statistics
      Print ISSN
      2651-477X
      Publisher
      Hacettepe University
      Volume
      49
      Issue
      3
      Pages
      921 - 934
      Language
      English
      Type
      Article
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      Abstract
      Infectious diseases are a serious problem for public health and spark the interest in interdisciplinary studies. In this paper, we present two mathematical models describing a possible scenario for infectious diseases. The first model considers the dynamics of the disease among adults and emphasizes the role of carriers in the SIR model and the second model assumes that the disease is transmitted to children by adults. We state the equilibria for each model and study the local stability of the equilibria. Furthermore, we perform simulations using a parameter set that explains the spread of a specific infectious disease (meningococcal disease) and interpret the possible cases of transmission via simulations.
      Keywords
      SIR model
      Epidemic threshold
      Local stability
      Age structure
      Permalink
      http://hdl.handle.net/11693/75528
      Published Version (Please cite this version)
      https://doi.org/10.15672/hujms.624042
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      • Department of Mathematics 635
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