Dynamics of the Fractional-Order Between-Host Cholera Model With Temperature-Dependence

Owade Kennedy Jackob and Colleta Akinyi

Abstract and Applied Analysis, 2025, vol. 2025, 1-10

Abstract: This paper presents a comprehensive analysis of a fractional-order between-host cholera model incorporating temperature-dependent parameters. The model is formulated using Caputo fractional derivatives, offering advantages over classical integer-order models through its memory effects and enhanced predictive capabilities for disease outbreaks. The paper establishes the existence and uniqueness of solutions using Banach fixed-point theory, demonstrating that the model solutions are bounded and well-posed. Stability analysis reveals that both disease-free equilibrium (DFE) and endemic equilibrium points are stable under appropriate conditions. Numerical simulations investigate the impact of varying the fractional order parameter α∈(0,1] and environmental temperature ranges 23°C

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:2312040

DOI: 10.1155/aaa/2312040

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