Stochastic Diffusive Modeling of CO₂ Emissions with Population and Energy Dynamics
Climate change, primarily driven by CO2 emissions from energy and non-energy sectors, necessitates effective mitigation strategies. This study develops a stochastic diffusive model to capture the complex dynamics of CO2 concentration, human population growth, and energy production. The objectives ar...
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| Format: | Article |
| Language: | English |
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Ital Publication
2025-02-01
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| Series: | Emerging Science Journal |
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| Online Access: | https://ijournalse.org/index.php/ESJ/article/view/2786 |
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| author | Muhammad Shoaib Arif Kamaleldin Abodayeh Hisham M. Al-Khawar Yasir Nawaz |
| author_facet | Muhammad Shoaib Arif Kamaleldin Abodayeh Hisham M. Al-Khawar Yasir Nawaz |
| author_sort | Muhammad Shoaib Arif |
| collection | DOAJ |
| description | Climate change, primarily driven by CO2 emissions from energy and non-energy sectors, necessitates effective mitigation strategies. This study develops a stochastic diffusive model to capture the complex dynamics of CO2 concentration, human population growth, and energy production. The objectives are to enhance the predictive accuracy of existing models by incorporating diffusion effects and stochastic variability, offering insights for sustainable environmental policies. A novel numerical scheme, an extension of the Euler-Maruyama algorithm, is proposed to solve stochastic time-dependent partial differential equations governing the model. The scheme's consistency and stability are rigorously analyzed in the mean square sense. Findings reveal that increasing emission rate coefficients in energy and non-energy sectors exacerbates CO2 levels, emphasizing the need for stringent controls. The proposed scheme demonstrates superior accuracy to the non-standard finite difference method, establishing its efficacy in modeling complex environmental processes. This research contributes a robust computational tool to improve existing predictive models, aiding decision-making for long-term ecological sustainability. By addressing uncertainties in the environmental process, the work advances the understanding of interactions between population growth, energy production, and CO2 emissions, offering a significant improvement over the traditional modeling approach. The novelty lies in integrating stochastic dynamics with diffusion to better inform CO2reduction strategies.
Doi: 10.28991/ESJ-2025-09-01-012
Full Text: PDF |
| format | Article |
| id | doaj-art-51ca4621454d404bae4682f4cebea1ec |
| institution | Kabale University |
| issn | 2610-9182 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Ital Publication |
| record_format | Article |
| series | Emerging Science Journal |
| spelling | doaj-art-51ca4621454d404bae4682f4cebea1ec2025-02-08T14:26:27ZengItal PublicationEmerging Science Journal2610-91822025-02-019121022810.28991/ESJ-2025-09-01-012772Stochastic Diffusive Modeling of CO₂ Emissions with Population and Energy DynamicsMuhammad Shoaib Arif0Kamaleldin Abodayeh1Hisham M. Al-Khawar2Yasir Nawaz31) Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia. 2) Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan.Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586,Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586,Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000,Climate change, primarily driven by CO2 emissions from energy and non-energy sectors, necessitates effective mitigation strategies. This study develops a stochastic diffusive model to capture the complex dynamics of CO2 concentration, human population growth, and energy production. The objectives are to enhance the predictive accuracy of existing models by incorporating diffusion effects and stochastic variability, offering insights for sustainable environmental policies. A novel numerical scheme, an extension of the Euler-Maruyama algorithm, is proposed to solve stochastic time-dependent partial differential equations governing the model. The scheme's consistency and stability are rigorously analyzed in the mean square sense. Findings reveal that increasing emission rate coefficients in energy and non-energy sectors exacerbates CO2 levels, emphasizing the need for stringent controls. The proposed scheme demonstrates superior accuracy to the non-standard finite difference method, establishing its efficacy in modeling complex environmental processes. This research contributes a robust computational tool to improve existing predictive models, aiding decision-making for long-term ecological sustainability. By addressing uncertainties in the environmental process, the work advances the understanding of interactions between population growth, energy production, and CO2 emissions, offering a significant improvement over the traditional modeling approach. The novelty lies in integrating stochastic dynamics with diffusion to better inform CO2reduction strategies. Doi: 10.28991/ESJ-2025-09-01-012 Full Text: PDFhttps://ijournalse.org/index.php/ESJ/article/view/2786stochastic diffusive modelconsistencystabilityexistenceco₂ emissions reductiondiffusion processesenvironmental uncertainty population dynamics. |
| spellingShingle | Muhammad Shoaib Arif Kamaleldin Abodayeh Hisham M. Al-Khawar Yasir Nawaz Stochastic Diffusive Modeling of CO₂ Emissions with Population and Energy Dynamics Emerging Science Journal stochastic diffusive model consistency stability existence co₂ emissions reduction diffusion processes environmental uncertainty population dynamics. |
| title | Stochastic Diffusive Modeling of CO₂ Emissions with Population and Energy Dynamics |
| title_full | Stochastic Diffusive Modeling of CO₂ Emissions with Population and Energy Dynamics |
| title_fullStr | Stochastic Diffusive Modeling of CO₂ Emissions with Population and Energy Dynamics |
| title_full_unstemmed | Stochastic Diffusive Modeling of CO₂ Emissions with Population and Energy Dynamics |
| title_short | Stochastic Diffusive Modeling of CO₂ Emissions with Population and Energy Dynamics |
| title_sort | stochastic diffusive modeling of co₂ emissions with population and energy dynamics |
| topic | stochastic diffusive model consistency stability existence co₂ emissions reduction diffusion processes environmental uncertainty population dynamics. |
| url | https://ijournalse.org/index.php/ESJ/article/view/2786 |
| work_keys_str_mv | AT muhammadshoaibarif stochasticdiffusivemodelingofco2emissionswithpopulationandenergydynamics AT kamaleldinabodayeh stochasticdiffusivemodelingofco2emissionswithpopulationandenergydynamics AT hishammalkhawar stochasticdiffusivemodelingofco2emissionswithpopulationandenergydynamics AT yasirnawaz stochasticdiffusivemodelingofco2emissionswithpopulationandenergydynamics |