[HTML][HTML] Mathematical study of fractal-fractional leptospirosis disease in human and rodent populations dynamical transmission

M Farman, S Jamil, KS Nisar, A Akgul - Ain Shams Engineering Journal, 2024 - Elsevier
In both industrialized and developing nations, leptospirosis is one of the most
underdiagnosed and under-reported diseases. It is known that people are more likely to …

[HTML][HTML] Analysis of leptospirosis transmission dynamics with environmental effects and bifurcation using fractional-order derivative

FK Alalhareth, U Atta, AH Ali, A Ahmad… - Alexandria Engineering …, 2023 - Elsevier
Mathematical formulations are essential tool to show the dynamics that how various
diseases spread in the community. Differential equations with fractional or integer order can …

[HTML][HTML] Sensitivity analysis and dynamics of brucellosis infection disease in cattle with control incident rate by using fractional derivative

M Farman, E Hincal, S Jamil, N Gokbulut, KS Nisar… - Scientific Reports, 2025 - nature.com
The farming of animals is one of the largest industries, with animal food products, milk, and
dairy being crucial components of the global economy. However, zoonotic bacterial …

[PDF][PDF] Dynamic analysis and optimal control of leptospirosis based on Caputo fractional derivative

L Zhang, X Tan, J Li, F Yang - Networks and Heterogeneous Media, 2024 - aimspress.com
Caputo fractional derivative solves the fractional initial value problem in Riemann-Liouville
(RL) fractional calculus. The definition of a Caputo-type derivative is in the same form as the …