IMPACT OF INDUSTRIALIZATION ON THE DYNAMICS OF ATMOSPHERIC CARBON DIOXIDE: A MODELING STUDY

Abstract

The expansion of the industrial sector is one of the prime contributors to the increase in the concentration of heat-trapping gases, mainly carbon dioxide ([Formula: see text]), in the atmosphere. Since the onset of the industrial revolution, industrial [Formula: see text] emissions have been contributing significantly to global warming and associated climate changes. To design strategies for the mitigation of climate changes, it is crucial to comprehend the role of industrialization in the elevation of atmospheric [Formula: see text] concentration. This paper presents a nonlinear mathematical model, comprising a set of nonlinear differential equations, to examine the impact of industrialization on the dynamics of atmospheric [Formula: see text]. Analysis of the model shows that if the industrial [Formula: see text] emission rate increases beyond a critical value, the system experiences Hopf-bifurcation about the interior equilibrium and periodic solution is generated. The direction and stability of periodic solutions arising through Hopf-bifurcation are investigated. Numerical simulation is presented to demonstrate the analytical findings.