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

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  • Owade Kennedy Jackob
  • Colleta Akinyi

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

Suggested Citation

  • Owade Kennedy Jackob & Colleta Akinyi, 2025. "Dynamics of the Fractional-Order Between-Host Cholera Model With Temperature-Dependence," Abstract and Applied Analysis, Hindawi, vol. 2025, pages 1-10, November.
    • Handle: RePEc:hin:jnlaaa:2312040
    DOI: 10.1155/aaa/2312040
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