Mathematical Model for Impact of Media on Cleanliness Drive in India

  • 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
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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Published
2018-09-06
How to Cite
N H Shah, J S Patel, F A Thakkar, & M H Satia. (2018). Mathematical Model for Impact of Media on Cleanliness Drive in India. Mathematical Journal of Interdisciplinary Sciences, 7(1), 29-36. Retrieved from https://mjis.chitkara.edu.in/index.php/mjis/article/view/12
Section
Articles