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Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions

Cilt: 6 Sayı: 3 31 Aralık 2024
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Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions

Öz

This study addresses the stability and flip bifurcation of a discrete-time SIR model expressing the COVID-19 pandemic. The model considers the effect of the vaccine, asymptomatic individuals, as well as symptomatic individuals in the transmission of the disease. Equilibrium solutions are obtained under certain parametric conditions. Then, the local stabilities of these equilibrium solutions are investigated. The existence of bifurcation is determined for the positive interior equilibrium solution.

Anahtar Kelimeler

COVID-19 Pandemic Model, Flip Bifurcation, Local Asymptotic Stability, SIR Model

Kaynakça

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  3. W. O. Kermack, A. G. McKendrick, A contribution to the mathematical theory of epidemics, Part II, The problem of endemicity, Proceedings of the Royal Society of London Series A. 138 (1932), 55-83. doi:10.1098/rspa.1932.0171
  4. W. O. Kermack, A. G. McKendrick, Contributions to the mathematical theory of epidemics, Part III, Further studies of the problem of Endemicity, Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character. 141(1933), 94-122. doi:10.1098/rspa.1933.0106
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  7. H. Nishiura et al., Estimation of the asymptomatic ratio of novel coronavirus infections (covid-19), International Journal of Infectious Diseases. 94(2020), 154-155. doi:10.1016/j.ijid.2020.03.020
  8. S. Lee, T. Kim, E. Lee, C. Lee, H. Kim, H. Rhee, et al., Clinical course and molecular viral shedding among asymptomatic and symptomatic patients with SARS-CoV-2 infection in a community treatment center in the Republic of Korea. JAMA International Medicine. 180 (11) (2020), 1447-1452. doi:10.1001/jamainternmed.2020.3862
  9. F. Bahadır, F.S. Balık., H.S. Yalçınkaya, The Impact of COVID-19 on the financial structure of the construction industry in Turkey, Necmettin Erbakan University Journal of Science and Engineering. 5(2) (2023), 173-188. doi:10.47112/neufmbd.2023.17
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Kaynak Göster

APA
Ak Gümüş, Ö. (2024). Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions. Necmettin Erbakan University Journal of Science and Engineering, 6(3), 543-556. https://doi.org/10.47112/neufmbd.2024.64
AMA
1.Ak Gümüş Ö. Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions. NEU Fen Muh Bil Der. 2024;6(3):543-556. doi:10.47112/neufmbd.2024.64
Chicago
Ak Gümüş, Özlem. 2024. “Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions”. Necmettin Erbakan University Journal of Science and Engineering 6 (3): 543-56. https://doi.org/10.47112/neufmbd.2024.64.
EndNote
Ak Gümüş Ö (01 Aralık 2024) Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions. Necmettin Erbakan University Journal of Science and Engineering 6 3 543–556.
IEEE
[1]Ö. Ak Gümüş, “Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions”, NEU Fen Muh Bil Der, c. 6, sy 3, ss. 543–556, Ara. 2024, doi: 10.47112/neufmbd.2024.64.
ISNAD
Ak Gümüş, Özlem. “Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions”. Necmettin Erbakan University Journal of Science and Engineering 6/3 (01 Aralık 2024): 543-556. https://doi.org/10.47112/neufmbd.2024.64.
JAMA
1.Ak Gümüş Ö. Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions. NEU Fen Muh Bil Der. 2024;6:543–556.
MLA
Ak Gümüş, Özlem. “Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions”. Necmettin Erbakan University Journal of Science and Engineering, c. 6, sy 3, Aralık 2024, ss. 543-56, doi:10.47112/neufmbd.2024.64.
Vancouver
1.Özlem Ak Gümüş. Analyzing a Mathematical Model of the COVID-19 Pandemic with the Impact Symptomatic and Asymptomatic Transmissions. NEU Fen Muh Bil Der. 01 Aralık 2024;6(3):543-56. doi:10.47112/neufmbd.2024.64