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<p>This study describes an anthroponotic cutaneous leishmaniasis (ACL) model caused by the parasite Leishmania tropica. This model uses operators that are conformable and <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12046_2025_2747_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\beta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-conformable and consists of seven components with two groups of population, namely humans and vectors. We demonstrate the existence and uniqueness of the solution using fixed-point theory. Also, the Adams–Moulton method is implemented here for the Liouville–Caputo (LC) sense fractional conformable operators. Numerical simulations are provided for different values of the fractional order.</p>

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Numerical study of anthroponotic cutaneous leishmaniasis model with conformable and \(\beta \)-conformable derivatives

  • 期刊论文

  • 发表日期：

    2025年5月17日

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  • Tasmia Roshan,
  • Surath Ghosh,
  • Sunil Kumar

摘要

This study describes an anthroponotic cutaneous leishmaniasis (ACL) model caused by the parasite Leishmania tropica. This model uses operators that are conformable and \(\beta \) β -conformable and consists of seven components with two groups of population, namely humans and vectors. We demonstrate the existence and uniqueness of the solution using fixed-point theory. Also, the Adams–Moulton method is implemented here for the Liouville–Caputo (LC) sense fractional conformable operators. Numerical simulations are provided for different values of the fractional order.