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math.DS2026
Adaptive Control and Mittag-Leffler Stability of Caputo Fractional Systems with State-Dependent Delays
Abdallah Alsammani, Gassan Farah
This paper establishes new sufficient conditions for Mittag-Leffler stability of Caputo fractional-order nonlinear systems with state-dependent delays. The central analytical tool…
math.DS2025
Stochastic Dynamics of Hepatitis B Virus Infection: Extinction, Persistence, and Ergodicity
Abdallah Alsammani
We develop and analyze a three-compartment stochastic model of within-host hepatitis B virus infection with multiplicative Itô noise. We establish global well-posedness, strict pos…
math.DS2025
Threshold Dynamics and Integrated Control of Cholera Transmission with Sanitation and Vaccination
Abdallah Alsammani, Gassan A. M. O. Farah, Mohammed A. Y. Mohammed +1
Cholera transmission is sustained by interacting human and environmental pathways, making integrated control essential in settings with inadequate water, sanitation, and hygiene in…