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Computational Ecology and Software, 2017, 7(3): 100-108
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Article

Effect of automobiles on global warming: A modeling study

Shyam Sundar1, Ashish Kumar Mishra1, Ram Naresh2
1Department of Mathematics, P. S. Institute of Technology, Kanpur-2089305, India
2Department of Mathematics, School of Basic and Applied Sciences, H. B. Technical University, Kanpur-208002, India

Received 24 April 2017;Accepted 30 May 2017;Published 1 September 2017
IAEES

Abstract
Global warming threatens our environment as well as basic human needs. In the present scenario, increasing demand and excessive use of automobiles have increased the level of carbon dioxide emission in the environment, providing a significant contribution to increase the global warming. This paper deals with the modeling of the effect of automobiles on global warming. For this, three nonlinearly interacting variables namely; density of human population, density of automobiles and the concentration of carbon dioxide have been taken into account. In the modeling process, it is assumed that the density of automobiles increases in proportion to human population following a logistic growth. 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. It is shown that with increase in human population, the demand for automobiles increases which has significant effect on global warming increase.

Keywords mathematical model;automobile;carbon dioxide;stability.


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