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A Social Hierarchy–Structured Fractional-Order Model: for Tuberculosis Dynamics with Integrated Control Measures - Couverture souple

Benedict Celestine, Agbata

 
9786209762642: A Social Hierarchy–Structured Fractional-Order Model: for Tuberculosis Dynamics with Integrated Control Measures

Synopsis

The book presents a fractional-order mathematical model of tuberculosis transmission that incorporates social hierarchy by dividing the population into low- and high-social classes. The model captures key disease stages and uses fractional calculus to account for memory effects in transmission dynamics. Analysis and data fitting show that individuals in lower social classes contribute most to disease spread, with contact rate identified as the main driver of infection, while treatment and recovery reduce transmission. The findings revealed that effective TB control requires targeted interventions, including improved treatment, vaccination, early detection, and addressing socioeconomic inequalities.

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