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Image of Journal of Applied Nonlinear Dynamics
ISSN:2325-6192 (print)
ISSN:2325-6206 (online)
Journal of Environmental Accounting and Management
António Mendes Lopes (editor), Jiazhong Zhang(editor)
António Mendes Lopes (editor)

University of Porto, Portugal

Email: aml@fe.up.pt

Jiazhong Zhang (editor)

School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi Province 710049, China

Fax: +86 29 82668723 Email: jzzhang@mail.xjtu.edu.cn

Curtailing Pollution due to Processes on Plastic Disposal

Journal of Environmental Accounting and Management 9(4) (2021) 331--342 | 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 pollution-free, water-pollution free and optimum issue point. Basic reproduction number and center manifold theory is used for analyzing the local stability of a model. Castillo-Chavez 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 DST-FIST file {\#} MSI-097 for technical support to the department of Gujarat University. Second author is funded by UGC granted National Fellowship for Other Backward Classes (NFO-2018-19-OBC-GUJ-71790) and third author is funded by a Junior Research Fellowship from the Council of Scientific & Industrial Research (file no. 09/07(0061)/2019-EMR-I).

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