American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2016, 4(1), 16-23
DOI: 10.12691/ajams-4-1-3
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Effect of Environmental Tax on Carbon Dioxide Emission: A Mathematical Model

Shyam Sundar1, , Ashish Kumar Mishra1 and Ram Naresh2

1Department of Mathematics, PSIT, Kanpur-208020, India

2Department of Mathematics, H. B. Technological Institute, Kanpur-208002, India

Pub. Date: February 29, 2016

Cite this paper:
Shyam Sundar, Ashish Kumar Mishra and Ram Naresh. Effect of Environmental Tax on Carbon Dioxide Emission: A Mathematical Model. American Journal of Applied Mathematics and Statistics. 2016; 4(1):16-23. doi: 10.12691/ajams-4-1-3


The objective of this work is to study effect of environmental tax on emitters to attain a pollution free environment. In this paper, an attempt has been made to study the effect of environmental tax to control carbon dioxide (a global warming gas) concentration in the atmosphere using a nonlinear mathematical model. It is assumed that the environmental tax is levied only when the concentration of carbon dioxide crosses a threshold level over which it is harmful to our environment. Analytically, it is shown that the concentration of carbon dioxide decreases as the rate of environmental tax increases. The variation of carbon dioxide concentration (with and without environmental tax) has also been shown in a plot to confirm analytical results. Further, carbon dioxide concentration can also be reduced by greenbelt (leafy trees) plantation. It is shown, analytically and numerically, that carbon dioxide concentration decreases as its rate of interaction (absorption) with leafy trees increases.

mathematical model greenbelt carbon dioxide environmental tax

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