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An SIS sex-structured influenza A model with positive case fatality in an open population with varying size

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Title: An SIS sex-structured influenza A model with positive case fatality in an open population with varying size
Authors: Muntaser Safan, Bayan Humadi
Source: Mathematical Biosciences and Engineering, Vol 21, Iss 8, Pp 6975-7011 (2024)
Publisher Information: AIMS Press, 2024.
Publication Year: 2024
Collection: LCC:Biotechnology
LCC:Mathematics
Subject Terms: sis model, equilibria, case fatality, backward bifurcation, effective threshold, sex and gender disparities, influenza a, Biotechnology, TP248.13-248.65, Mathematics, QA1-939
More Details: This work aims to study the role of sex disparities on the overall outcome of influenza A disease. Therefore, the classical Susceptible-Infected-Susceptible (SIS) endemic model was extended to include the impact of sex disparities on the overall dynamics of influenza A infection which spreads in an open population with a varying size, and took the potential lethality of the infection. The model was mathematically analyzed, where the equilibrium and bifurcation analyses were established. The model was shown to undergo a backward bifurcation at $ \mathcal{R}_0 = 1 $, for certain range of the model parameters, where $ \mathcal{R}_0 $ is the basic reproduction number of the model. The asymptotic stability of the equilibria was numerically investigated, and the effective threshold was determined. The differences in susceptibility, transmissibility and case fatality (of females with respect to males) are shown to remarkably affect the disease outcomes. Simulations were performed to illustrate the theoretical results.
Document Type: article
File Description: electronic resource
Language: English
ISSN: 1551-0018
Relation: https://doaj.org/toc/1551-0018
DOI: 10.3934/mbe.2024306
Access URL: https://doaj.org/article/6b33cdba15cd4a73a09872b3dba25852
Accession Number: edsdoj.6b33cdba15cd4a73a09872b3dba25852
Database: Directory of Open Access Journals
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  Label: Title
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  Data: An SIS sex-structured influenza A model with positive case fatality in an open population with varying size
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Muntaser+Safan%22">Muntaser Safan</searchLink><br /><searchLink fieldCode="AR" term="%22Bayan+Humadi%22">Bayan Humadi</searchLink>
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  Data: Mathematical Biosciences and Engineering, Vol 21, Iss 8, Pp 6975-7011 (2024)
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  Data: AIMS Press, 2024.
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  Data: 2024
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  Data: LCC:Biotechnology<br />LCC:Mathematics
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  Data: <searchLink fieldCode="DE" term="%22sis+model%22">sis model</searchLink><br /><searchLink fieldCode="DE" term="%22equilibria%22">equilibria</searchLink><br /><searchLink fieldCode="DE" term="%22case+fatality%22">case fatality</searchLink><br /><searchLink fieldCode="DE" term="%22backward+bifurcation%22">backward bifurcation</searchLink><br /><searchLink fieldCode="DE" term="%22effective+threshold%22">effective threshold</searchLink><br /><searchLink fieldCode="DE" term="%22sex+and+gender+disparities%22">sex and gender disparities</searchLink><br /><searchLink fieldCode="DE" term="%22influenza+a%22">influenza a</searchLink><br /><searchLink fieldCode="DE" term="%22Biotechnology%22">Biotechnology</searchLink><br /><searchLink fieldCode="DE" term="%22TP248%2E13-248%2E65%22">TP248.13-248.65</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22QA1-939%22">QA1-939</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This work aims to study the role of sex disparities on the overall outcome of influenza A disease. Therefore, the classical Susceptible-Infected-Susceptible (SIS) endemic model was extended to include the impact of sex disparities on the overall dynamics of influenza A infection which spreads in an open population with a varying size, and took the potential lethality of the infection. The model was mathematically analyzed, where the equilibrium and bifurcation analyses were established. The model was shown to undergo a backward bifurcation at $ \mathcal{R}_0 = 1 $, for certain range of the model parameters, where $ \mathcal{R}_0 $ is the basic reproduction number of the model. The asymptotic stability of the equilibria was numerically investigated, and the effective threshold was determined. The differences in susceptibility, transmissibility and case fatality (of females with respect to males) are shown to remarkably affect the disease outcomes. Simulations were performed to illustrate the theoretical results.
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      – Type: doi
        Value: 10.3934/mbe.2024306
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 37
        StartPage: 6975
    Subjects:
      – SubjectFull: sis model
        Type: general
      – SubjectFull: equilibria
        Type: general
      – SubjectFull: case fatality
        Type: general
      – SubjectFull: backward bifurcation
        Type: general
      – SubjectFull: effective threshold
        Type: general
      – SubjectFull: sex and gender disparities
        Type: general
      – SubjectFull: influenza a
        Type: general
      – SubjectFull: Biotechnology
        Type: general
      – SubjectFull: TP248.13-248.65
        Type: general
      – SubjectFull: Mathematics
        Type: general
      – SubjectFull: QA1-939
        Type: general
    Titles:
      – TitleFull: An SIS sex-structured influenza A model with positive case fatality in an open population with varying size
        Type: main
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          Name:
            NameFull: Muntaser Safan
      – PersonEntity:
          Name:
            NameFull: Bayan Humadi
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          Dates:
            – D: 01
              M: 08
              Type: published
              Y: 2024
          Identifiers:
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              Value: 15510018
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              Value: 21
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              Value: 8
          Titles:
            – TitleFull: Mathematical Biosciences and Engineering
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