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Bhatter, Sanjay, Bhatia, Bhamini, Kumawat, Sangeeta, Purohit, Sunil. (1403). Modeling and simulation of COVID-19 disease dynamics via Caputo-Fabrizio fractional derivative. سامانه مدیریت نشریات علمی, 13(2), 494-504. doi: 10.22034/cmde.2024.59569.2539
Sanjay Bhatter; Bhamini Bhatia; Sangeeta Kumawat; Sunil Dutt Purohit. "Modeling and simulation of COVID-19 disease dynamics via Caputo-Fabrizio fractional derivative". سامانه مدیریت نشریات علمی, 13, 2, 1403, 494-504. doi: 10.22034/cmde.2024.59569.2539
Bhatter, Sanjay, Bhatia, Bhamini, Kumawat, Sangeeta, Purohit, Sunil. (1403). 'Modeling and simulation of COVID-19 disease dynamics via Caputo-Fabrizio fractional derivative', سامانه مدیریت نشریات علمی, 13(2), pp. 494-504. doi: 10.22034/cmde.2024.59569.2539
Bhatter, Sanjay, Bhatia, Bhamini, Kumawat, Sangeeta, Purohit, Sunil. Modeling and simulation of COVID-19 disease dynamics via Caputo-Fabrizio fractional derivative. سامانه مدیریت نشریات علمی, 1403; 13(2): 494-504. doi: 10.22034/cmde.2024.59569.2539

Modeling and simulation of COVID-19 disease dynamics via Caputo-Fabrizio fractional derivative

Computational Methods for Differential Equations
مقاله 10، دوره 13، شماره 2، خرداد 2025، صفحه 494-504    اصل مقاله (748.78 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.59569.2539
نویسندگان
Sanjay Bhatter1؛ Bhamini Bhatia1؛ Sangeeta Kumawat1؛ Sunil Dutt Purohit* 2
1Department of Mathematics, Malaviya National Institute of Technology Jaipur, India.
21. Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India. 2. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.
چکیده
The motive of this paper is to investigate the SEIQRD model of the COVID-19 outbreak in Indonesia with the help of a fractional modeling approach. The model is described by the nonlinear system of six fractional order differential equations (DE) incorporating the Caputo-Fabrizio Fractional derivative (CFFD) operator. The existence and uniqueness of the model are proved by applying the well-known Banach contraction theorem. The reproduction number ($R_0$) is calculated, and its sensitivity analysis is conducted concerning each parameter of the model for the prediction and persistence of the infection. Moreover, the numerical simulation for various fractional orders is performed using the Adams-Bashforth technique to analyze the transmission behavior of disease and to get the approximated solutions. At last, we represent our numerical simulation graphically to illustrate our analytical findings.
کلیدواژه‌ها
COVID-19؛ Caputo-Fabrizio fractional derivative؛ Existence and uniqueness؛ Sensitivity analysis؛ Simulation and discussion
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