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This idea narrates the importance of non-integer Atangana Baleanu Caputo (ABC) fractal fractional order soil Pollution model with three compartment model such as soil pollution, metabolic activity and plant growth species. Steady states equilibrium points and boundary points are determined. The certain change of impact identified and examined with the help of stability and bifurcation analysis. Pontryagin’s maximum principle expertise the optimal control process and declined the soil pollution in order to improve the plant growth. Approximation solution exhibited using Adams Bashworth predictor and corrector method. Graphical validations are done through MATLAB.

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Bifurcation and Optimal Control Analysis of Fractal Fractional Order Soil-Plant Interaction Model

  • 会议论文

  • 发表日期：

    2025年

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  • P. Priya,
  • A. Sabarmathi

摘要

This idea narrates the importance of non-integer Atangana Baleanu Caputo (ABC) fractal fractional order soil Pollution model with three compartment model such as soil pollution, metabolic activity and plant growth species. Steady states equilibrium points and boundary points are determined. The certain change of impact identified and examined with the help of stability and bifurcation analysis. Pontryagin’s maximum principle expertise the optimal control process and declined the soil pollution in order to improve the plant growth. Approximation solution exhibited using Adams Bashworth predictor and corrector method. Graphical validations are done through MATLAB.