STABILITY ANALYSIS OF VARIOUS EPIDEMIOLOGICAL MODELS WITH PARTICULAR EMPHASIS ON SUTRA MODEL

Abstract

The project primarily focuses on constructing the SUTRA Model that incorporate vital dynamics that is natural birth and natural death rates and then performing the stability analysis on prior existed models such as SIR, SEIR, SAIR and newly constructed modified SUTRA Model using both linearization around equilibrium points and Lyapunov Direct approach and then further finding the reproduction number for each of the above models which is useful in steering several control strategies for each of the above model. Along with that, this Dissertation also focuses on calculating the fatality rate, mortality rate etc. and plotting their graphs over time and analyzing the world-wide data, India in particular to get an idea how pandemic has hit the different part of the world differently.