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DIU JOURNAL OF SCIENCE AND TECHNOLOGY

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Paper Title
Assessing protective interventions on cholera dynamics using a Caputo-Fabrizio fractional model

Authors

Joseph Adeleke Adedeji, Morufu Oyedunsi Olayiwola

Abstract

This study introduces a mathematicalframework that incorporates fractional-orderderivatives to investigate how effectiveprotective interventions are in high-risk cholerapopulations. The model establishes disease-freeand endemic thresholds, with stability analyzedusing the Routh-Hurwitz criteria. A key insight isthat determining the basic reproduction numberprovides deeper understanding of choleratransmission dynamics.Through normalized sensitivity analysis, theingestion rate of Vibrio cholerae emerges as themost influential factor in transmission.Meanwhile, vaccination coverage and awarenessof protective measures are recognized as crucialelements for cholera control and eradication.The model uses the Caputo-Fabrizio fractional-order approach and is proven to be well-posedthrough the fixed-point theorem. Using theLaplace Adomian Decomposition Method(LADM), the results demonstrate that highvaccination rates and widespread adoption ofprotective measures among susceptibleindividuals in high-risk zones significantlyreduce susceptibility, increase protectedpopulations, and strengthen overall public healthresilience against cholera.

Keywords

LADM, Stability Analysis, vaccination and awareness, numerical experiments, basic reproduction number, novel mathematical model.

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