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<p>In this study, we explored novel fractional Visceral Leishmaniasis (VL) disease models with Caputo fractional derivatives. The computational solution of the fractional VL model is derived using the Generalized Euler’s method (GEM). The compartment structure of the five-dimensional model includes susceptible, infected, public treatment, private treatment, and recovered classes. This study considers two treatment strategies: public and private. The fractional-order novel model was graphically simulated using MATLAB. Furthermore, the stability of the equilibrium points was investigated. The findings obtained using the proposed method are computationally efficient and easy to implement.</p>

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Computational solutions for fractional-order modeling of Visceral Leishmaniasis using Caputo derivatives

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月17日

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  • A. M. Khan,
  • S. Gaur,
  • D. L. Suthar,
  • S. D. Purohit

摘要

In this study, we explored novel fractional Visceral Leishmaniasis (VL) disease models with Caputo fractional derivatives. The computational solution of the fractional VL model is derived using the Generalized Euler’s method (GEM). The compartment structure of the five-dimensional model includes susceptible, infected, public treatment, private treatment, and recovered classes. This study considers two treatment strategies: public and private. The fractional-order novel model was graphically simulated using MATLAB. Furthermore, the stability of the equilibrium points was investigated. The findings obtained using the proposed method are computationally efficient and easy to implement.