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Gholami, Hossein, Gachpazan, Morteza, Erfanian, Majid. (1403). $SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation. سامانه مدیریت نشریات علمی, 13(2), 592-607. doi: 10.22034/cmde.2024.58656.2482
Hossein Gholami; Morteza Gachpazan; Majid Erfanian. "$SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation". سامانه مدیریت نشریات علمی, 13, 2, 1403, 592-607. doi: 10.22034/cmde.2024.58656.2482
Gholami, Hossein, Gachpazan, Morteza, Erfanian, Majid. (1403). '$SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation', سامانه مدیریت نشریات علمی, 13(2), pp. 592-607. doi: 10.22034/cmde.2024.58656.2482
Gholami, Hossein, Gachpazan, Morteza, Erfanian, Majid. $SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation. سامانه مدیریت نشریات علمی, 1403; 13(2): 592-607. doi: 10.22034/cmde.2024.58656.2482

$SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation

Computational Methods for Differential Equations
مقاله 17، دوره 13، شماره 2، خرداد 2025، صفحه 592-607    اصل مقاله (985.07 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.58656.2482
نویسندگان
Hossein Gholami1؛ Morteza Gachpazan* 1؛ Majid Erfanian* 2
1Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
2Department of Science, School of Mathematical Sciences, University of Zabol, Zabol, Iran.
چکیده
In this paper, we developed a $SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis. In this article, the dynamics of COVID-19 are divided into six compartments: susceptible, exposed, asymptomatically infected, symptomatically infected, quarantined, and recovered. The positivity and boundedness of the solutions have been proven. We calculated the basic reproduction number for our model and found both disease-free and endemic equilibria. It is shown that the disease-free equilibrium is globally asymptotically stable. We explained under what conditions, the endemic equilibrium point is locally asymptotically stable. Additionally, the center manifold theorem is applied to examine whether our model undergoes a backward bifurcation at $R_0 = 1$ or not. To finish, we have confirmed our theoretical results by numerical simulation
کلیدواژه‌ها
Backward bifurcation؛ Globally asymptotically stable؛ Basic reproduction number
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