Optimal Control of Global Warming by Carbon Dioxide Mitigation Through Awareness Programmes

Presently, the main reason for global temperature rise is the increased level of carbon dioxide in the atmosphere. This increase is primarily caused by human activities, leading to carbon dioxide (CO₂) emissions that largely contribute to global warming. For better understanding of how rising temperature affects people and for studying the effectiveness of awareness programmes aimed at reducing carbon dioxide in the atmosphere, we have proposed a non-linear mathematical model. The proposed model has been extended further for controlling atmospheric CO₂ emissions as well as reducing costs associated with the execution of awareness programmes by considering variable implementation rate of such programmes over time. The strategy obtained by utilizing the optimal control theory outclasses both constant heuristic and no control strategies. Further, to illustrate the analytical findings, we have performed numerical simulations.