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

Bhatter, Sanjay; -, Shyamsunder; Seadawy, Aly R.; Jangid, Kamlesh; Purohit, Sunil Dutt

doi:10.22060/ajmc.2025.24520.1434

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

Articles in Press

Document Type : Original Article

Authors

Sanjay Bhatter ¹

Shyamsunder - ²

Aly R. Seadawy ³

Kamlesh Jangid ⁴

Sunil Dutt Purohit ⁵

¹ Department of Mathematics, Malaviya National Institute of Technology Jaipur, India

² Department of Mathematics, SRM University Delhi-NCR, Sonepat, India

³ Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, 41411, Kingdom of Saudi Arabia

⁴ Department of Mathematics, Central University of Rajasthan, Ajmer, India

⁵ Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India

10.22060/ajmc.2025.24520.1434

Abstract

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.

Keywords

Caputo fractional derivative

Mittag-Leffler

Generalized Mittag-Leffler function method

Schistosomiasis disease

Sensitivity analysis

Subjects