Mathematical Model for Impact of Media on Cleanliness Drive in India
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.
Author(s):
DOI:
Keywords:
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.
