Modelling the depletion of forestry resources by population and population pressure augmented industrialization |
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Authors: | B Dubey S Sharma P Sinha JB Shukla |
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Institution: | 1. Mathematics Group, BITS, Pilani 333 031, India;2. Department of Mathematics, IIT Kanpur 208 016, India;3. Center for Modeling, Environment and Development, Kanpur 208017, India;4. Department of Mathematics, LNM IIT, Jaipur 303 012, India |
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Abstract: | In this paper, a nonlinear mathematical model is proposed and analysed to study the depletion of forestry resources caused by population and population pressure augmented industrialization. It is shown that the equilibrium density of resource biomass decreases as the equilibrium densities of population and industrialization increase. It is found that even if the growth of population (whether intrinsic or by migration) is only partially dependent on resource, still the resource biomass is doomed to extinction due to large population pressure augmented industrialization. It is noted that for sustained industrialization, control measures on its growth are required to maintain the ecological stability. |
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Keywords: | Resource biomass Population pressure Industrialization Stability |
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