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<p>Water scarcity has become one of the most critical challenges affecting societies globally, influencing social, economic, and environmental systems. In this paper, a fractional order model on water scarcity is presented. Using fractional calculus and suitable hypothesis on nonlinear term, existence and uniqueness of solutions is formulated. Further, equilibrium point and stability results are analysed by employing Jacobian matrix and Matignon criterion techniques. The sensitivity of the model to various parameters through the calculation of the basic reproduction number R<sub>0</sub> is evaluated to understand the influence of factors such as water consumption and regeneration rates on system behavior. Finally, numerical simulations are performed for different parameter values using the Adams-Bashforth-Moulton method to show the effectiveness of the proposed model.</p>

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Fractional order modelling of water scarcity and its social effects

  • 期刊论文

  • 发表日期：

    2025年7月12日

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  • Sindhu J. Achar,
  • T. Sathiyaraj,
  • S. Harshavarthini

摘要

Water scarcity has become one of the most critical challenges affecting societies globally, influencing social, economic, and environmental systems. In this paper, a fractional order model on water scarcity is presented. Using fractional calculus and suitable hypothesis on nonlinear term, existence and uniqueness of solutions is formulated. Further, equilibrium point and stability results are analysed by employing Jacobian matrix and Matignon criterion techniques. The sensitivity of the model to various parameters through the calculation of the basic reproduction number R0 is evaluated to understand the influence of factors such as water consumption and regeneration rates on system behavior. Finally, numerical simulations are performed for different parameter values using the Adams-Bashforth-Moulton method to show the effectiveness of the proposed model.