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                <text>Faculty Publications</text>
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              <text>Namboothiri, V S Manasi; Veeresha, P.; Sherly, K.</text>
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          <name>Title</name>
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              <text>A novel mathematical investigation of carbon emissions, economic growth, carbon taxation and renewable energy dynamics: stability analysis and forecasting</text>
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              <text>01-01-2025</text>
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              <text>Pramana - Journal of Physics;Volume;99;Issue;4;Article No.;155;</text>
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              <text>&lt;a href="https://doi.org/10.1007/s12043-025-03027-x" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1007/s12043-025-03027-x&lt;/a&gt; &lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/pages/publications/105022684473?origin=resultslist" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/pages/publications/105022684473?origin=resultslist&lt;/a&gt;</text>
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              <text>Namboothiri V.S.M., Centre for Mathematical Needs, Department of Mathematics, CHRIST University, Bengaluru, 560 029, India; Veeresha P., Centre for Mathematical Needs, Department of Mathematics, CHRIST University, Bengaluru, 560 029, India; Sherly K., Centre for Mathematical Needs, Department of Mathematics, CHRIST University, Bengaluru, 560 029, India</text>
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              <text>The main cause of global warming is carbon dioxide (CO2) emissions, acting as a significant greenhouse gas. These emissions stem from various sources and significantly contribute to climate change. Fortunately, we have countermeasures like carbon taxes to curb CO2 output. Carbon taxes incentivise a reduction in CO2 production and a shift towards cleaner energy sources by placing a cost on emissions. This paper investigates the interplay between carbon tax policy, carbon emissions, economic output (GDP) and renewable energy consumption. A system of differential equations is constructed to model these relationships based on a comprehensive literature review. Parameter estimation based on real-world data yielded successful fits for the variables. However, the fit for the carbon tax equation is less conclusive, suggesting a more complex relationship with carbon emissions. Stability analysis and the boundedness of the system are carried out. Auto-regressive integrated moving average (ARIMA) forecasting is employed to predict future trends. The results suggest a projected increase in GDP and renewable energy consumption over the next ten years, indicating a potential for a cleaner energy transition. Furthermore, the forecasts anticipate a rise in carbon tax implementation. This analysis emphasises how important carbon taxes are for cutting emissions and advancing renewable energy. Results indicate that carbon taxes can promote decarbonisation and economic growth, despite the complicated link between them and CO2 emissions. Both GDP growth and the use of renewable energy are anticipated to increase. However, policies must be improved to combat climate change effectively. Future studies should improve parameters and investigate other relevant elements to promote a low-carbon future.  Indian Academy of Sciences 2025.</text>
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              <text>02.30.Hq 02.60.Lj; 04.20.Ex; auto-regressive integrated moving average; boundedness; carbon emission; carbon tax; GDP; Mathematical modelling; renewable energy consumption</text>
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              <text>Springer</text>
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              <text>ISSN: 3044289; CODEN: PRAMC</text>
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              <text>English</text>
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              <text>Restricted Access; Hardcopy may be available in the library</text>
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              <text>online</text>
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