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<p>We perform on a dengue disease model using Caputo fractional derivatives in order to better observe the dynamics of infection in human beings, especially the dynamics of dengue hemorrhagic cases. After rigorous mathematical study, we calculate the basic reproduction number <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\mathcal {R}}_{0}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">R</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation> and determine the equilibrium points. We then establish an analysis of stability in each of the different states depending on the value of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\mathcal {R}}_{0}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">R</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation>. Moreover, to support the theoretical work, we present numerical simulations obtained using Python.</p>

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Analysis of dengue transmission taking into account hemorrhagic cases through Caputo fractional order derivatives

  • 期刊论文

  • 发表日期：

    2025年6月12日

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  • Yacouba Yoda,
  • Dramane Ouedraogo,
  • Moussa Barro,
  • Aboudramane Guiro

摘要

We perform on a dengue disease model using Caputo fractional derivatives in order to better observe the dynamics of infection in human beings, especially the dynamics of dengue hemorrhagic cases. After rigorous mathematical study, we calculate the basic reproduction number \({\mathcal {R}}_{0}\) R 0 and determine the equilibrium points. We then establish an analysis of stability in each of the different states depending on the value of \({\mathcal {R}}_{0}\) R 0 . Moreover, to support the theoretical work, we present numerical simulations obtained using Python.