A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis

Year 2023, Volume: 3 Issue: 2, 170 - 187, 30.06.2023

Idris Ahmed , Ali Akgül , Fahd Jarad , Poom Kumam , Kamsing Nonlaopon

https://doi.org/10.53391/mmnsa.1293162

Cited By: 8

Abstract

In recent years, the availability of advanced computational techniques has led to a growing emphasis on fractional-order derivatives. This development has enabled researchers to explore the intricate dynamics of various biological models by employing fractional-order derivatives instead of traditional integer-order derivatives. This paper proposes a Caputo-Fabrizio fractional-order cholera epidemic model. Fixed-point theorems are utilized to investigate the existence and uniqueness of solutions. A recent and effective numerical scheme is employed to demonstrate the model's complex behaviors and highlight the advantages of fractional-order derivatives. Additionally, a sensitivity analysis is conducted to identify the most influential parameters.

Keywords

Cholera, mathematical model, fixed point theorems, sensitivity analysis, numerical simulations

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