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The goal of this work is to derive and study a Cholera model using fractional-order derivative in the sense of Atangana-Baleanu. After the model formulation, we compute the basic reproduction number and perform stability of the disease-free equilibrium whenever the basic reproduction number is less than unity. We then prove existence and uniqueness of solutions. Using Euler scheme, we perform numerical simulations to validate our theoretical results.

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Fractional Dynamics of a Cholera Model with Atangana-Baleanu Operator

  • 会议论文

  • 发表日期：

    2025年

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  • Rubin Fandio,
  • Hamadjam Abboubakar,
  • Sylvain Ardo Banbeto Gouroudja,
  • Henri Paul Ekobena Fouda

摘要

The goal of this work is to derive and study a Cholera model using fractional-order derivative in the sense of Atangana-Baleanu. After the model formulation, we compute the basic reproduction number and perform stability of the disease-free equilibrium whenever the basic reproduction number is less than unity. We then prove existence and uniqueness of solutions. Using Euler scheme, we perform numerical simulations to validate our theoretical results.