Mathematical Model for Impact of Media on Cleanliness Drive in India

N H Shah; J S Patel; F A Thakkar; M H Satia

doi:10.15415/mjis.2018.71005

Mathematical Model for Impact of Media on Cleanliness Drive in India

Authors

N H Shah Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India
J S Patel L. D. College of Engineering, Ahmedabad, 380015, Gujarat, India
F A Thakkar Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India
M H Satia Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India

DOI:

https://doi.org/10.15415/mjis.2018.71005

Keywords:

Mathematical model, Active cleaners, Passive cleaner, Media, Simulation

Abstract

A mathematical model on cleanliness drive in India is analysed for active cleaners and passive cleaners. Cleanliness and endemic equilibrium points are found. Local and global stability of these equilibrium points are discussed using Routh-Hurwitz criteria and Lyapunov function respectively. Impact of media (as a control) is studied on passive cleaners to become active. Numerical simulation of the model is carried out which indicates that with the help of media transfer rate to active cleaners from passive cleaners is higher.

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References

Diekmann O. P. Heesterbeek J. A. and Roberts M. G. (2009). The construction of next-generation matrices for compartmental epidemic models. Journal of the Royal Society Interface, rsif20090386.

Fleming W. H. and Rishel R. W. (2012). Deterministic and stochastic optimal control (Vol. 1). Springer Science & Business Media.

http://www.pmindia.gov.in/en/major_initiatives/swachh-bharat-abhiyan/.

https://en.wikipedia.org/wiki/Swachh_Bharat_Abhiyan. https://www.dawn.com/news/752560

LaSalle J.P. (1976). The Stability of Dynamical Systems, Society for Industrial and Applied Mathematics, Philadelphia, Pa.https://doi.org/10.1137/1.9781611970432

Pontriagin L. S., Boltyanskii V.G., Gamkrelidze R.V. and Mishchenko E. F. (1986). “The Mathematical Theory of Optimal Process”, Gordon and Breach Science Publishers, NY, USA, 4–5.

Pradhan P. (2017). “Swachh Bharat Abhiyan and the Indian Media” Journal of Content, Community & Communication, 5(3), 43–51.

Routh E.J. (1877). A treatise on the stability of a given state of motion: particularly steady motion. Macmillan and Company.

Shah N. H., Satia M. H. and Yeolekar B. M. (2018). Stability of ‘GO-CLEAN’ Model Through Graphs.Journal of Computer and Mathematical Sciences, 9(2), 79–93.

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Published

2018-09-06

How to Cite

N H Shah, J S Patel, F A Thakkar, and M H Satia. 2018. “Mathematical Model for Impact of Media on Cleanliness Drive in India”. Mathematical Journal of Interdisciplinary Sciences 7 (1):29-36. https://doi.org/10.15415/mjis.2018.71005.

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Issue

Vol. 7 No. 1 (2018)

Section

Articles

License

Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at https://mjis.chitkara.edu.in. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.

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