Mathematical modeling on investments in burning and recycling of dumped waste by plastic industry

Abstract

Every year tones of plastic are produced and people become the victim of many types of waste including domestic, agronomic and industrialized waste. In this paper, we have constructed the mathematical model to examine the rising pollution level due to industrial plastic waste and the process of destroying or renovating this plastic waste using several toxic chemicals. The dynamical model suggests investing the influential part of the budget into civilization health policy, like reducing the plastic burning and support the installation of the eco-friendly plastic recycling machine to reuse dumped industrial plastic. Both of these policies are strides to the health as well as the economic progress of the country. In the model, the local stability of the system of nonlinear differential equations is qualitatively analyzed with appropriate conditions. Graph theory results help to distinguish the global stability behavior of the model. Techniques to reduce plastic pollution are outlined by optimizing both the policies which are simulated numerically with given validated data.

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Acknowledgements

All authors are thankful to DST-FIST file # MSI-097 for technical support to the department of Gujarat University. Second author is funded by UGC granted National Fellowship for Other Backward Classes (NFO-2018-19-OBC-GUJ-71790) and third author is funded by a Junior Research Fellowship from the Council of Scientific & Industrial Research (file no. 09/07(0061)/2019-EMR-I).

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Correspondence to N. H. Shah.

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Editorial responsibility: S. R. Sabbagh-Yazdi.

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Shah, N.H., Jayswal, E.N. & Suthar, A.H. Mathematical modeling on investments in burning and recycling of dumped waste by plastic industry. Int. J. Environ. Sci. Technol. 18, 741–750 (2021). https://doi.org/10.1007/s13762-020-02839-1

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Keywords

  • Pollution
  • Processes on plastic waste
  • Health policy
  • Stability
  • Graph theory