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Optimal control of anthropogenic carbon dioxide emissions through technological options: a modeling study

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Abstract

The anthropogenic emission of carbon dioxide (\(\mathrm{CO}_{2}\)) is the prime culprit for the menace of global warming. To achieve the goal of mitigation of global warming, it is crucial to curb the anthropogenic carbon dioxide emissions. The prime anthropogenic source of \(\mathrm{CO}_{2}\) is fossil fuel burning. In this paper, we propose a nonlinear mathematical model to study the impact of technological options, used for the reduction of \(\mathrm{CO}_{2}\) emissions from fossil fuel burning and industrial processes, on the control of atmospheric \(\mathrm{CO}_2\). In the modeling process, it is assumed that the technological options are implemented to curb the \(\mathrm{CO}_{2}\) emissions from the source at a rate proportional to the anthropogenic \(\mathrm{CO}_{2}\) emissions. Model analysis reveals that the atmospheric level of \(\mathrm{CO}_{2}\) can be effectively reduced by increasing the implementation rate of technological options and their efficiency. The strategies which optimally reduce atmospheric \(\mathrm{CO}_{2}\) levels while minimizing the cost associated with the implementation of technological options are identified using optimal control theory. Numerical simulation has been carried out to illustrate theoretical results.

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Acknowledgments

Authors are thankful to the handling editor and both the referees for their comments and useful suggestions that improved the quality of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, 221 005, India

    Maitri Verma & A. K. Misra

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  1. Maitri Verma
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  2. A. K. Misra
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Correspondence to A. K. Misra.

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Communicated by Geraldo Nunes Silva.

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Verma, M., Misra, A.K. Optimal control of anthropogenic carbon dioxide emissions through technological options: a modeling study. Comp. Appl. Math. 37, 605–626 (2018). https://doi.org/10.1007/s40314-016-0364-2

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  • DOI: https://doi.org/10.1007/s40314-016-0364-2

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