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Effects of inclusion of delay in the imposition of environmental tax on the emission of greenhouse gases

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  • Devi, Sapna
  • Gupta, Nivedita

Abstract

In this research paper, we plan to study the relation among concentration of greenhouse gases, human population and environmental tax. For this purpose, a deterministic nonlinear mathematical model is proposed and analyzed in regard to the boundedness and persistence of its solutions, equilibria and their stabilities. Whenever, a policy is implemented, an automated delay comes into existence because outcomes of application of any policy always take some time to become visible. To see the effects of delay, analyses for the stability and direction of Hopf bifurcation for delay system are done. Critical value of the delay parameter is calculated theoretically and numerically, and then verified graphically. For verifications and descriptions of analytical findings, numerical simulations are performed. Graphical comparisons for different values of various parameters provides us some realistic and interesting results. Overall, model analysis shows that the increasing level of greenhouse gases can be controlled by applying environmental tax and imposing some restrictions on corruption.

Suggested Citation

  • Devi, Sapna & Gupta, Nivedita, 2019. "Effects of inclusion of delay in the imposition of environmental tax on the emission of greenhouse gases," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 41-53.
    • Handle: RePEc:eee:chsofr:v:125:y:2019:i:c:p:41-53
    DOI: 10.1016/j.chaos.2019.05.006
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    References listed on IDEAS

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    1. Jana, Debaldev & Pathak, Rachana & Agarwal, Manju, 2016. "On the stability and Hopf bifurcation of a prey-generalist predator system with independent age-selective harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 252-273.
    2. Williams, Roberton III, 2002. "Environmental Tax Interactions when Pollution Affects Health or Productivity," Journal of Environmental Economics and Management, Elsevier, vol. 44(2), pages 261-270, September.
    3. Mobayen, Saleh & Ma, Jun, 2018. "Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 46-54.
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    1. Recep Ulucak & Danish & Yacouba Kassouri, 2020. "An assessment of the environmental sustainability corridor: Investigating the non‐linear effects of environmental taxation on CO2 emissions," Sustainable Development, John Wiley & Sons, Ltd., vol. 28(4), pages 1010-1018, July.
    2. Krzysztof Kluza & Magdalena Zioło & Iwona Bąk & Anna Spoz, 2021. "Achieving Environmental Policy Objectives through the Implementation of Sustainable Development Goals. The Case for European Union Countries," Energies, MDPI, vol. 14(8), pages 1-22, April.
    3. Karmaker, Shamal Chandra & Hosan, Shahadat & Chapman, Andrew J. & Saha, Bidyut Baran, 2021. "The role of environmental taxes on technological innovation," Energy, Elsevier, vol. 232(C).
    4. Li, Zhengda & Zheng, Chengxin & Liu, Aimin & Yang, Yang & Yuan, Xiaoling, 2022. "Environmental taxes, green subsidies, and cleaner production willingness: Evidence from China's publicly traded companies," Technological Forecasting and Social Change, Elsevier, vol. 183(C).

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