Journal of Environmental Accounting and Management
Curtailing Pollution due to Processes on Plastic Disposal
Journal of Environmental Accounting and Management 9(4) (2021) 331342  DOI:10.5890/JEAM.2021.12.002
Nita H. Shah , Ekta N. Jayswal, Ankush H. Suthar
Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India
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Abstract
Though the government has ruled ``Say No to Plastic'', plastic usage is increasing day by day. It is observed since last three decades that each process of plastic creates pollution affecting degradation of environmental resources like air, soil and water. The proposed mathematical model contains these three pollutions with its issues having a dynamical system of nonlinear differential equations. Feasible region contains three equilibrium points pollutionfree, waterpollution free and optimum issue point. Basic reproduction number and center manifold theory is used for analyzing the local stability of a model. CastilloChavez theory with detailed computation has been used to check global dynamical behavior of equilibrium points and also gives the existence of backward bifurcation of plastic usage. To optimize the pollution, optimal control has been applied to the system. Graphical analysis is carried out.
Acknowledgments
All authors are thankful to DSTFIST file {\#} MSI097 for technical support
to the department of Gujarat University. Second author is funded by UGC
granted National Fellowship for Other Backward Classes
(NFO201819OBCGUJ71790) and third author is funded by a Junior Research
Fellowship from the Council of Scientific & Industrial Research (file no.
09/07(0061)/2019EMRI).
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