Stability Analysis of Excessive Carbon Dioxide Gas Emission Model Through Following Reforestation Policy in Low-Density Forest Biomass
DOI:
https://doi.org/10.21123/bsj.2024.11370Keywords:
Bifurcation Analysis, Carbon Dioxide Gas Emission Model, Numerical Solutions, Reforestation, Stability AnalysisAbstract
Carbon dioxide is the main greenhouse gas contributing to global warming risk. Forest biomass is crucial for the sequestration of atmospheric carbon dioxide; however, the rate of decline in worldwide forest biomass is concerning and can be attributed to anthropogenic activities. Reforestation is essential in this situation to decrease the amount of in the atmosphere. Efforts at reforestation can be evaluated according to the financial investment required for their execution. This work presents a nonlinear mathematical model that examines the impact of reforestation and the implementation of reforestation initiatives on regulating atmospheric levels. The critical values of the model and their stability are found analytically. The occurrence of transcritical bifurcation around the possible critical points is performed using the Sotomayor theorem. Based on the numerical simulations, the model in the absence of reforestation would put some aspects at risk of extinction. Further, the level of in the atmosphere would decrease due to reforestation. Moreover, the numerical analysis indicates that the system experiences a loss of stability without reforestation activities. The system maintains oscillation through Hopf-bifurcation while engaging in reforestation activities.
Received 15/04/2024
Revised 06/07/2024
Accepted 08/07/2024
Published Online First 20/11/2024
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