Optimization Technique on Dynamics of Carbon Dioxide to Controlling Global Warming

Abstract

Abstract Background Carbon dioxide is increasing in the atmosphere day by day due to diverse sources increasing global warming. Meeting the energy demands of the expanding human population, large-scale carbon dioxide (CO2) is produced. Effective reduction of CO2 emissions from the energy sector and others through optimization is required to reduce global warming. Model: This paper presents a mathematical model that captures the dynamic relationship between carbon dioxide levels in the atmosphere, human population dynamics, energy use, and the progression of global warming as distinct sections. Real-time data from these sections are utilized to adjust model parameters. Methodology: Firstly, the stability analysis of the proposed model is examined to determine whether solutions remain bounded or converge to specific states on the equilibrium points. Secondly, sensitivity analysis of the model is investigated and determines the behavior of the dynamic system on changes in parameters. Lastly, the optimization technique is applied to the model to reduce global warming by optimizing the level of CO2 emission from the energy sector. Results Through optimization, results show that global warming is majorly reduced when the CO2 emission from the energy sector is reduced. Novelty: The thorough analysis and validation of the proposed model offer valuable insights for devising effective strategies to mitigate climate change.