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A mathematical model to investigate the impact of overgrowing population-induced mining on forest resources

Author

Listed:
  • Abhinav Tandon

    (Birla Institute of Technology (BIT), Mesra)

  • Kumari Jyotsna

    (Birla Institute of Technology (BIT), Mesra)

  • Susanto Dey

    (Birla Institute of Technology (BIT), Mesra)

Abstract

Here, we develop a mathematical model which investigates the impact of growing population and rampant mining on forest resources, present in an urban region. In order to demonstrate the effect imposed by the overgrowing population on the environment, population pressure is incorporated in the model, which augments mining activities in the given region. The obtained model is studied qualitatively using stability theory of differential equations, while it is quantitatively analyzed through numerical simulation. The results of the model reveal that a whopping increase in unchecked mining activities, induced through excessive population growth, leads to declination of forest resources in a region. Therefore, sustainable mining is suggested through control measures imposed by the government on mining activities.

Suggested Citation

  • Abhinav Tandon & Kumari Jyotsna & Susanto Dey, 2018. "A mathematical model to investigate the impact of overgrowing population-induced mining on forest resources," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 20(4), pages 1499-1516, August.
    • Handle: RePEc:spr:endesu:v:20:y:2018:i:4:d:10.1007_s10668-017-9950-8
    DOI: 10.1007/s10668-017-9950-8
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    References listed on IDEAS

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    1. A. Misra & P. Tiwari, 2015. "A model for the effect of density of human population on the depletion of dissolved oxygen in a water body," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 17(3), pages 623-640, June.
    2. A. Misra & Kusum Lata & J. Shukla, 2014. "Effects of population and population pressure on forest resources and their conservation: a modeling study," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 16(2), pages 361-374, April.
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