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Bhatter, Sanjay, -, Shyamsunder, Seadawy, Aly, Jangid, Kamlesh, Purohit, Sunil. (1404). Dynamics of schistosomiasis transmission in a fractional framework: A GMLFM-based numerical approach. نشریه مهندسی عمران امیرکبیر, (), -. doi: 10.22060/ajmc.2025.24520.1434
Sanjay Bhatter; Shyamsunder -; Aly R. Seadawy; Kamlesh Jangid; Sunil Dutt Purohit. "Dynamics of schistosomiasis transmission in a fractional framework: A GMLFM-based numerical approach". نشریه مهندسی عمران امیرکبیر, , , 1404, -. doi: 10.22060/ajmc.2025.24520.1434
Bhatter, Sanjay, -, Shyamsunder, Seadawy, Aly, Jangid, Kamlesh, Purohit, Sunil. (1404). 'Dynamics of schistosomiasis transmission in a fractional framework: A GMLFM-based numerical approach', نشریه مهندسی عمران امیرکبیر, (), pp. -. doi: 10.22060/ajmc.2025.24520.1434
Bhatter, Sanjay, -, Shyamsunder, Seadawy, Aly, Jangid, Kamlesh, Purohit, Sunil. Dynamics of schistosomiasis transmission in a fractional framework: A GMLFM-based numerical approach. نشریه مهندسی عمران امیرکبیر, 1404; (): -. doi: 10.22060/ajmc.2025.24520.1434

Dynamics of schistosomiasis transmission in a fractional framework: A GMLFM-based numerical approach

AUT Journal of Mathematics and Computing
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 بهمن 1404
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2025.24520.1434
نویسندگان
Sanjay Bhatter1؛ Shyamsunder -* 2؛ Aly R. Seadawy3؛ Kamlesh Jangid4؛ Sunil Dutt Purohit5
1Department of Mathematics, Malaviya National Institute of Technology Jaipur, India
2Department of Mathematics, SRM University Delhi-NCR, Sonepat, India
3Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, 41411, Kingdom of Saudi Arabia
4Department of Mathematics, Central University of Rajasthan, Ajmer, India
5Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India
چکیده
This study investigates the transmission dynamics of Schistosomiasis using a fractional-order model and the generalized Mittag-Leffler function method (GMLFM). The human population is classified into susceptible, infected, and recovered groups, while the snail population is divided into susceptible and infected compartments. The stability of equilibrium points is analyzed, and sensitivity analysis with contour plots is conducted to examine the influence of key parameters on the basic reproduction number. The proposed numerical approach demonstrates accuracy and efficiency in handling multidimensional fractional-order differential equations, offering more profound insights into the progression of parasitic diseases and providing a basis for future model extensions.
کلیدواژه‌ها
Caputo fractional derivative؛ Mittag-Leffler؛ Generalized Mittag-Leffler function method؛ Schistosomiasis disease؛ Sensitivity analysis
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تعداد مشاهده مقاله: 109


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