Modeling Earth Systems and Environment

, Volume 4, Issue 1, pp 349–357 | Cite as

Modeling the impact of media awareness programs on mitigation of carbon dioxide emitted from automobiles

  • Shyam Sundar
  • Ashish Kumar Mishra
  • Ram Naresh
Original Article


A nonlinear mathematical model is proposed and analyzed to evaluate the impact of awareness programs due to media campaign on mitigation of carbon dioxide emitted from automobiles. Since human activities, increasing demand and excessive use of automobiles have increased the concentration of carbon dioxide in the atmosphere accelerating the global warming significantly. It threatens our environment as well as health and basic needs of human beings. Therefore, it is crucial to comprehend the dynamics of carbon dioxide due to automobiles and its mitigation from the atmosphere. In this paper, a mathematical model is developed to study the impact of media campaign on mitigation of carbon dioxide emitted from automobiles considering four dependent variables namely, the density of human population, the density of automobiles, the concentration of carbon dioxide and the measure of media awareness programs. 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 model analysis reveals that the rate of implementation of awareness program through the media (media campaign) has a substantial effect over the mitigation of carbon dioxide.


Mathematical model Automobiles Awareness Carbon dioxide Stability 


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Shyam Sundar
    • 1
  • Ashish Kumar Mishra
    • 1
  • Ram Naresh
    • 2
  1. 1.Department of MathematicsPranveer Singh Institute of TechnologyKanpurIndia
  2. 2.Department of Mathematics, School of Basic and Applied SciencesHarcourt Butler Technical UniversityKanpurIndia

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