Environment, Development and Sustainability

, Volume 20, Issue 4, pp 1499–1516 | Cite as

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

  • Abhinav Tandon
  • Kumari Jyotsna
  • Susanto Dey


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.


Forest resources Population pressure Mining Qualitative analysis Stability Quantitative analysis 


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© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  1. 1.Department of MathematicsBirla Institute of Technology (BIT), MesraRanchiIndia

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