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<p>In this article, the author has studied Leptospirosis in human and rodent populations using a compartmental mathematical model with Caputo-Fabrizio fractional-order derivatives. The model includes disease-causing agents and the rate of human infection. Using the iterative method and fixed point theory, the existence and uniqueness of the model are studied. Further, disease-free and endemic equilibrium points are examined, showing that the disease-free equilibrium points become increasingly stable as the fractional order decreases. Finally, numerical simulations using the three-step Adams-Bashforth method are presented to illustrate the theoretical results. The novelty is that it integrates the Caputo Fabrizio fractional derivative using a generic leptospirosis structure, hence enable the model to indicate non-singular memory in the dynamics.</p>

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Analysis of human and rodent population in leptospirosis disease using numerical methods

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月27日

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  • Kanchan Sharma,
  • Garima Agarwal,
  • Sunil Joshi,
  • Parvin Kumari,
  • Kottakkaran Sooppy Nisar

摘要

In this article, the author has studied Leptospirosis in human and rodent populations using a compartmental mathematical model with Caputo-Fabrizio fractional-order derivatives. The model includes disease-causing agents and the rate of human infection. Using the iterative method and fixed point theory, the existence and uniqueness of the model are studied. Further, disease-free and endemic equilibrium points are examined, showing that the disease-free equilibrium points become increasingly stable as the fractional order decreases. Finally, numerical simulations using the three-step Adams-Bashforth method are presented to illustrate the theoretical results. The novelty is that it integrates the Caputo Fabrizio fractional derivative using a generic leptospirosis structure, hence enable the model to indicate non-singular memory in the dynamics.