No Access

A MATHEMATICAL MODEL TO STUDY THE IMPACT OF MINING ACTIVITIES AND POLLUTION ON FOREST RESOURCES AND WILDLIFE POPULATION

KUMARI JYOTSNA

Department of Mathematics, Birla Institute of Technology (BIT), Mesra, Ranchi-835215, Jharkhand, India

Search for more papers by this author

and

ABHINAV TANDON

Department of Mathematics, Birla Institute of Technology (BIT), Mesra, Ranchi-835215, Jharkhand, India

E-mail Address: abhinav.abhi02@gmail.com

Corresponding author.

Search for more papers by this author

https://doi.org/10.1142/S0218339017500115Cited by:11 (Source: Crossref)

Abstract

In this paper, we develop a nonlinear mathematical model that investigates the impact of mining activities and pollution on forest resources and wildlife population. It is assumed that concentration of pollutants grows in the environment at a constant rate and also augments due to different mining activities prevailing in the forest area. The model is formulated in terms of differential equations and analyzed using elements of stability theory and numerical simulation. The obtained results depict that both forest resources as well as wildlife population get very much affected, either directly or indirectly, due to mining activities and environmental pollution. It is being concluded that, in order to save forests, an ecological balance is required to be maintained among forest resources, forest-dependent wildlife population, mining activities and environmental pollution.

Keywords:

References

1. FICCI Mines and Metals Division, Development of Indian Mining Industry — The way forward: Non - Fuel Minerals, October 2013. Google Scholar
2. Priyadarshi N, Impact of mining and industries in Jharkhand, www.american-chronicle.com, 28 October 2008. Google Scholar
3. Srivastava DS, Essa PS, Jauher JB, Report on integrated wildlife management plan for West Singhbhum, Jharkhand, Submitted to Department of Forest and Environment, Government of Jharkhand, 2013. Google Scholar
4. Repetto R, Holmes T, The role of population in resource depletion in developing countries, Popul Dev Rev 9(4) :609–632, 1983. Crossref, Web of Science, Google Scholar
5. Garcia-Montiel DC, Scatena FN, The effect of human activity on the structure and composition of a tropical forest in Puerto Rico, Forest Ecol Manag 63(1) :57–78, 1994. Crossref, Web of Science, Google Scholar
6. Shukla JB, Dubey B, Modelling the depletion and conservation of forestry resource: Effects of population and pollution, J Math Biol 36(1) :71–94, 1997. Crossref, Web of Science, Google Scholar
7. Dhar J, Population model with diffusion and supplementary forest resource in a two-patch habitat, Appl Math Modelling 32(7) :1219–1235, 2008. Crossref, Web of Science, Google Scholar
8. Dubey B, Sharma S, Sinha P, Shukla JB, Modelling the depletion of forestry resources by population and population pressure augmented industrialization, Appl Math Modelling 33(7) :3002–3014, 2009. Crossref, Web of Science, Google Scholar
9. Shukla JB, Misra OP, Agarwal M, Shukla A, Effect of pollution and industrial development on degradation of biomass-resource: A mathematical model with reference to Doon Valley, Math Computer Modelling 11 :910–913, 1988. Crossref, Web of Science, Google Scholar
10. Shukla JB, Freedman HI, Pal VN, Misra OP, Agarwal M, Shukla A, Degradation and subsequent regeneration of a forestry resource, Ecol Modelling 44(3–4) :219–229, 1989. Crossref, Web of Science, Google Scholar
11. Dubey B, Upadhyay RK, Hussain J, Effects of industrialization and pollution on resource biomass: A mathematical model, Ecol Modelling 167(1–2) :83–95, 2003. Crossref, Web of Science, Google Scholar
12. Agarwal M, Fatima T, Freedman HI, Depletion of forestry resource biomass due to industrialization pressure: A ratio-dependent mathematical model, J Biol Dyn 4(4) :381–396, 2010. Crossref, Google Scholar
13. Misra AK, Lata K, Depletion and conservation of forestry resources: A mathematical model, Differ Equations Dyn Syst 23(1) :25–41, 2015. Crossref, Web of Science, Google Scholar
14. Dubey B, Modeling the effect of toxicant on forestry resources, Ind J Pure Appl Math 28(1) :1–12, 1996. Web of Science, Google Scholar
15. Naresh R, Sundar S, Shukla JB, Modeling the effect of an intermediate toxic product formed by uptake of a toxicant on plant biomass, Appl Math Comput 182(1) :151–160, 2006. Crossref, Web of Science, Google Scholar
16. Shukla JB, Sharma S, Dubey B, Sinha P, Modeling the survival of resource-dependent population: Effects of toxicants (pollutants) emitted from external source as well as formed by its precursors, Nonlinear Anal Real World Appl 10(1) :54–70, 2009. Crossref, Web of Science, Google Scholar
17. Gakkhar S, Sahani SK, A model for delayed effect of toxicant on resource-biomass system, Chaos Solitons Fractals 40(2) :912–922, 2009. Crossref, Web of Science, Google Scholar
18. Gakkhar S, Sahani SK, A delay model for the effects of environmental toxicant on biological species, J Biol Syst 15(4) :525–537, 2007. Link, Web of Science, Google Scholar
19. Agarwal M, Devi S, A resource-dependent competition model: Effects of toxicants emitted from external sources as well as formed by precursors of competing species, Nonlinear Anal Real World Appl 12(1) :751–766, 2011. Crossref, Web of Science, Google Scholar
20. Naresh R, Sharma D, Sundar S, Modeling the effect of toxicant on plant biomass with time delay, Int J Nonlinear Sci 17(3) :254–267, 2014. Google Scholar
21. Maystruk V, Abdella K, Modelling the effects of pollution on a population and a resource in a polluted environment, ISRN Appl Math 643985, 2011. Google Scholar
22. Agarwal M, Pathak R, Conservation of forestry biomass with the use of alternate resource, Open J Ecolo 5(4) :87–109, 2015. Crossref, Google Scholar
23. Freedman HI, So JWH, Global stability and persistence of simple food chains, Math Biosci 76(1) :69–86, 1985. Crossref, Web of Science, Google Scholar