From Transmission to Disability: A Fractional Perspective on HBV Dynamics
Published in Microbiology, Computational Sciences, and Biomedical Research
What if infectious disease models systematically underestimate long-term human suffering?
Infectious disease modeling should not stop at transmission dynamics. It must also capture the long-term health consequences that shape real-world impact.
In our recent study published in BMC Infectious Diseases, we developed a fractional-order mathematical framework to model hepatitis B virus transmission across heterogeneous contact structures while explicitly incorporating disability burden into the system.
Unlike classical integer-order approaches, the model integrates memory effects using a Mittag–Leffler kernel, enabling a more realistic representation of disease progression and persistence over time.
A key contribution of this work is the introduction of disability-aware parameters that quantify long-term functional impairment among infected individuals. By incorporating metrics such as Years Lived with Disability and Disability-Adjusted Life Years, the model connects epidemiological dynamics with measurable health outcomes.
Through analytical and numerical investigations, including reproduction number analysis and sensitivity assessment, the results highlight the critical role of vaccination, transmission behavior, and carrier dynamics in shaping both infection spread and long-term disability burden.
This work contributes to a growing research direction that integrates mathematical modeling, artificial intelligence, and public health to support predictive, data-driven healthcare strategies.
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BMC Infectious Diseases
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A powerful step by Dr. Kamel Guedri that connects disease transmission with real human impact, pushing epidemiological modeling toward more meaningful, outcome-driven insights.