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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Saini, Gaurav, Ghosh, Bappa, Chand, Sunita, Mohapatra, Jugal. (1405). Qualitative Analysis and Numerical Simulation of Fractional SEIR Mpox Model Arising in Epidemiology. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2026.69220.3403
Gaurav Saini; Bappa Ghosh; Sunita Chand; Jugal Mohapatra. "Qualitative Analysis and Numerical Simulation of Fractional SEIR Mpox Model Arising in Epidemiology". سامانه مدیریت نشریات علمی, , , 1405, -. doi: 10.22034/cmde.2026.69220.3403
Saini, Gaurav, Ghosh, Bappa, Chand, Sunita, Mohapatra, Jugal. (1405). 'Qualitative Analysis and Numerical Simulation of Fractional SEIR Mpox Model Arising in Epidemiology', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2026.69220.3403
Saini, Gaurav, Ghosh, Bappa, Chand, Sunita, Mohapatra, Jugal. Qualitative Analysis and Numerical Simulation of Fractional SEIR Mpox Model Arising in Epidemiology. سامانه مدیریت نشریات علمی, 1405; (): -. doi: 10.22034/cmde.2026.69220.3403

Qualitative Analysis and Numerical Simulation of Fractional SEIR Mpox Model Arising in Epidemiology

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 اردیبهشت 1405    اصل مقاله (1.54 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2026.69220.3403
نویسندگان
Gaurav Saini1؛ Bappa Ghosh2؛ Sunita Chand3؛ Jugal Mohapatra* 4
1Center for Data Science, Department of Computer Science and Engineering, Siksha `O' Anusandhan (Deemed to be University), India.
2Center for Artificial Intelligence and Machine Learning, Department of Computer Science and Engineering, Siksha `O' Anusandhan (Deemed to be University), India.
3Department of Mathematics, Siksha `O' Anusandhan (Deemed to be University), India.
4Department of Mathematics, National Institute of Technology, Rourkela, India.
چکیده
Epidemiological modeling is vital in understanding disease dynamics and guiding public health interventions. This study presents a time-fractional SEIR model to describe the transmission dynamics of Mpox, incorporating memory effects via the fractional derivative. We perform an extensive qualitative investigation, proving that there is a unique solution and that the solutions are Hyers-Ulam stable. To approximate the model numerically, we implement the L1 finite difference technique for the Caputo derivative and solve the resulting nonlinear system using the Newton-Raphson technique. A detailed error analysis is provided, demonstrating that the scheme achieves algebraic convergence. Comparative results with the Fractional Modified Euler method (FMEM) confirm the superior accuracy and stability of the proposed approach. Numerical simulations under biologically relevant parameters illustrate the impact of the non-integer order and vaccination rate on disease progression. The study underscores the effectiveness of fractional order models in capturing epidemic memory effects and positions the proposed scheme as a robust numerical tool for simulating such dynamics.
کلیدواژه‌ها
Mpox virus؛ Time-fractional SEIR model؛ L1 scheme
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تعداد مشاهده مقاله: 32
تعداد دریافت فایل اصل مقاله: 38


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