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Various human activities have increased the concentration of carbon dioxide in the atmosphere leading to increase in average atmospheric temperature causing global warming. It threatens our environment as well as health and basic needs of human beings. Therefore, in this paper, a mathematical model is developed to study the effects of carbon dioxide emissions caused by human activities on average atmospheric temperature contributing global warming considering four dependent variables namely, the density of human population, cumulative density of human activities such as industries, automobiles, and power plants etc., the concentration of carbon dioxide and the average atmospheric temperature. The model is analyzed using stability theory of ordinary differential equations. Local and global stability conditions are established to study the feasibility of the model system. The growth rate of average atmospheric temperature is assumed to be proportional to the increased level of carbon dioxide concentration in the atmosphere from its equilibrium value. It is also assumed that this temperature decreases with a rate proportional to its enhanced level from its equilibrium value caused by various natural factors such as rain fall, snow fall, etc. The analysis shows that as the emission of carbon dioxide from human activities increases the average atmospheric temperature increases considerably from its equilibrium level.
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