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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

Abstract

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.

Keywords

Mathematical model Automobiles Awareness Carbon dioxide Stability 

References

  1. Agarwal M, Pathak R (2014) The impact of awareness programs by media on the spreading and control of non-communicable diseases. Int J Eng Sci Technol 6(5):78–87CrossRefGoogle Scholar
  2. Budzik NC (2012) Annual Energy Outlook 2012 with projections to 2035, US Energy Information Administration, https://www.eia.gov/outlooks/aeo/pdf/0383(2012).pdf. Accessed 6 Sept 2017
  3. Collinson S, Heffernan JM (2014) Modeling the effects of media during an influenza epidemic. BMC Public Health 14:376–386CrossRefGoogle Scholar
  4. Cui J, Sun Y, Zhu H (2008a) The impact of media on the spreading and control of infectious diseases. J Dyn Diff Equ 20(1):31–53CrossRefGoogle Scholar
  5. Cui J, Tao X, Huaiping Z (2008b) An SIS infection model incorporating media coverage. Rocky Mt J Math 38(5):1323–1334CrossRefGoogle Scholar
  6. Fraser C, Donnelly CA, Cauchemez S et al (2009) Pandemic potential of a strain of influenza A (H1N1): early findings. Science 324(5934):1557–1561CrossRefGoogle Scholar
  7. Funk S, Gilad E, Watkins C, Jansen VAA (2009) The spread of awareness and its impact on epidemic outbreaks. Proc Natl Acad Sci USA 106(16):6872–6877CrossRefGoogle Scholar
  8. Haven P, Gutin O (2015) Fact sheet Vehicle Efficiency and Emissions Standards, Environmental and energy study institute, August, 26 2015, http://www.eesi.org/papers/view/fact-sheet-vehicle-efficiency-and-emissions- standards. Accessed 6 Sept 2017
  9. Heidrich O, Hill GA, Neaimeh M, Huebner Y, Blythe PT, Dawson RJ (2017) How do cities support electric vehicles and what difference does it make? Technol Forecast Soc Change 123:17–23CrossRefGoogle Scholar
  10. Hooftman N, Oliveira L, Messagie M, Coosemans T, Mierlo JV (2016) Environmental analysis of petrol, diesel and electric passenger cars in a Belgian urban setting. Energies 9(2): https://doi.org/10.3390/en9020084
  11. INCCA (Indian Network for Climate Change Assessment) (2010) Greenhouse Gas Emissions 2007. Ministry of Environment and Forests, Government of India. http://www.moef.nic.in/downloads/public-information/Report_INCCA.pdf. Accessed 21 April 2017
  12. IPCC (2014) Climate Change 2014: Mitigation of Climate Change: IPCC Working Group III Contribution AR5. http://climateanalytics.org/publications/2014/climate-change- 2014-mitigation-of-climate-change-ipcc-working-group-iii-contribution-ar5.html. Accessed 21 April 2017
  13. Liu Y, Cui J-A (2008) The impact of media convergence on the dynamics of infectious diseases. Int J Biomath 1:65–74CrossRefGoogle Scholar
  14. Majumder MS, Kluberg S, Santillana M, Mekaru S, Brownstein JS (2015) Ebola outbreak: media events track changes in observed reproductive number. PLOS Curr Outbreaks.  https://doi.org/10.1371/currents.outbreaks.e6659013c1d7f11bdab6a20705d1e865 Google Scholar
  15. Millstein DE, Harley RA (2009) Impact of climate change on photochemical air pollution in southern California. Atmos Chem Phys Discuss 9(11):3745–3754CrossRefGoogle Scholar
  16. Misra AK, Sharma A, Shukla JB (2011) Modeling and Analysis of effects of awareness programs by media on the spread of infectious diseases. Math Comput Model 53:1221–1228CrossRefGoogle Scholar
  17. Misra AK, Tiwari PK, Venturino E (2016) Modeling the impact of awareness on the mitigation of algal bloom in a lake. J Biol Phys 42:147–165CrossRefGoogle Scholar
  18. Schneising O, Heymann J, Buchwitz M, Reuter M, Bovensmann H, Burrows JP (2013) Anthropogenic carbon dioxide source areas observed from space: assessment of regional enhancements and trends. Atmos Chem Phys 13(5):2445–2454CrossRefGoogle Scholar
  19. Sharma A, Misra AK (2014) Modeling the impact of awareness created by media campaigns on vaccination coverage in a variable population. J Biol Syst 22(2):249–270CrossRefGoogle Scholar
  20. Sharma C, Pundir R (2008) Inventory of greenhouse gases and other pollutants from Transport sector: Delhi. J Environ Health Sci Eng 5:117–124Google Scholar
  21. Singh R, Sharma C (2012) Assessment of emissions from transport sector in Delhi. J Sci Ind Res 71:155–160Google Scholar
  22. RNLSE (Risø National Laboratory for Sustainable Energy) (2009). Ways To Reduce Carbon Dioxide Emissions From Transport. Science Daily. ScienceDaily, 27 July 2009. http://www.sciencedaily.com/releases/2009/07/090727080836.htm&gt. Accessed 17 April 2017

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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