How mathematical models might predict desertification from global warming and dust pollutants
Global warming and dust pollutants endanger humans and the ecosystem. One very efficient way to reduce emissions of greenhouse gases and dust is to use plant biomass in a greenbelt. This study provides a mathematical model for how dust pollutants and climate change affect plant biomass dynamics. The...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-06-01
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| Series: | MethodsX |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2215016125001050 |
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| author | Eman Hakeem Shireen Jawad Ali Hasan Ali Mohamed Kallel Husam A. Neamah |
| author_facet | Eman Hakeem Shireen Jawad Ali Hasan Ali Mohamed Kallel Husam A. Neamah |
| author_sort | Eman Hakeem |
| collection | DOAJ |
| description | Global warming and dust pollutants endanger humans and the ecosystem. One very efficient way to reduce emissions of greenhouse gases and dust is to use plant biomass in a greenbelt. This study provides a mathematical model for how dust pollutants and climate change affect plant biomass dynamics. The proposed model is thoroughly described. The model's analysis is centered on identifying prospective equilibrium positions. The study indicates that it is feasible to establish two steady states. The stability analysis illustrates that both steady states are consistently stable under the specified conditions. The local bifurcations at each steady state are derived; specifically, transcritical bifurcation may occur if a plant's growth rate is selected as a bifurcation point. The theoretical study is validated through numerical simulations. Desertification may arise if the intrinsic growth rate of plant biomass, the dust pollutants-induced plant biomass depletion coefficient, and the coefficient of natural depletion of dust contaminants are not effectively managed, according to the numerical simulation result. • This research describes how to make a nonlinear model and sets its parameters to simulate the risk of desertification caused by global warming and dust pollutants. • The proposed model's behaviour is described using stability analysis theory as a methodology. • Numerical simulations confirm the performance of the proposed methodology. |
| format | Article |
| id | doaj-art-cf3bc932b30b4a5eb09ee1f58aeeb567 |
| institution | Matheson Library |
| issn | 2215-0161 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | MethodsX |
| spelling | doaj-art-cf3bc932b30b4a5eb09ee1f58aeeb5672025-06-27T05:51:10ZengElsevierMethodsX2215-01612025-06-0114103259How mathematical models might predict desertification from global warming and dust pollutantsEman Hakeem0Shireen Jawad1Ali Hasan Ali2Mohamed Kallel3Husam A. Neamah4Department of Mathematics, College of Science, University of Baghdad, Baghdad, IraqDepartment of Mathematics, College of Science, University of Baghdad, Baghdad, IraqInstitute of Mathematics, University of Debrecen, Pf. 400, H-4002 Debrecen, Hungary; Corresponding author.Department of Physics, College of Science, Northern Border University, Arar, Saudi ArabiaMechatronics Department, Faculty of Engineering, University of Debrecen, Ótemető u. 4-5, Debrecen, 4028, HungaryGlobal warming and dust pollutants endanger humans and the ecosystem. One very efficient way to reduce emissions of greenhouse gases and dust is to use plant biomass in a greenbelt. This study provides a mathematical model for how dust pollutants and climate change affect plant biomass dynamics. The proposed model is thoroughly described. The model's analysis is centered on identifying prospective equilibrium positions. The study indicates that it is feasible to establish two steady states. The stability analysis illustrates that both steady states are consistently stable under the specified conditions. The local bifurcations at each steady state are derived; specifically, transcritical bifurcation may occur if a plant's growth rate is selected as a bifurcation point. The theoretical study is validated through numerical simulations. Desertification may arise if the intrinsic growth rate of plant biomass, the dust pollutants-induced plant biomass depletion coefficient, and the coefficient of natural depletion of dust contaminants are not effectively managed, according to the numerical simulation result. • This research describes how to make a nonlinear model and sets its parameters to simulate the risk of desertification caused by global warming and dust pollutants. • The proposed model's behaviour is described using stability analysis theory as a methodology. • Numerical simulations confirm the performance of the proposed methodology.http://www.sciencedirect.com/science/article/pii/S2215016125001050Stability analysis, The 4th-order Runge-Kutta method approximation |
| spellingShingle | Eman Hakeem Shireen Jawad Ali Hasan Ali Mohamed Kallel Husam A. Neamah How mathematical models might predict desertification from global warming and dust pollutants MethodsX Stability analysis, The 4th-order Runge-Kutta method approximation |
| title | How mathematical models might predict desertification from global warming and dust pollutants |
| title_full | How mathematical models might predict desertification from global warming and dust pollutants |
| title_fullStr | How mathematical models might predict desertification from global warming and dust pollutants |
| title_full_unstemmed | How mathematical models might predict desertification from global warming and dust pollutants |
| title_short | How mathematical models might predict desertification from global warming and dust pollutants |
| title_sort | how mathematical models might predict desertification from global warming and dust pollutants |
| topic | Stability analysis, The 4th-order Runge-Kutta method approximation |
| url | http://www.sciencedirect.com/science/article/pii/S2215016125001050 |
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