Open AccessMathematical Model for Impact of Media on Cleanliness Drive in India
Author(s) -
Nita H. Shah,
Jaydev S. Patel,
Foram A. Thakkar,
Moksha H. Satia
Publication year - 2018
Publication title -
mathematical journal of interdisciplinary sciences
Language(s) - English
Resource type - Journals
eISSN - 2278-957X
pISSN - 2278-9561
DOI - 10.15415/mjis.2018.71005
Subject(s) - lyapunov function , stability (learning theory) , transfer (computing) , transfer function , control theory (sociology) , computer science , engineering , control (management) , physics , artificial intelligence , quantum mechanics , nonlinear system , machine learning , parallel computing , electrical engineering
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.