SEI - MODEL FOR SOCIAL MESSAGES
NITA H. SHAH *
Department of Mathematics, Gujarat University, Ahmedabad, 38009, Gujarat, India
BIJAL M. YEOLEKAR
Department of Mathematics, Gujarat University, Ahmedabad, 38009, Gujarat, India
NEHAL J. SHUKLA
Department of Mathematics, Columbus State University, Columbus, Georgia
*Author to whom correspondence should be addressed.
Abstract
The application of epidemiological models in transmission of social messages through Whatsapp is based on the interactions between individuals. In this paper, an attempt is made to study the dynamics of spreading different types of messages in a short time. The model has three compartments based on the activity performed. The reproduction number Ro is computed to study the local and global stability of the equilibrium points. The mathematical model developed is validated using numerical simulations.
Keywords: Message transmission model, SEI – model, basic reproduction number, local stability, global stability