Analysis of Alpha and Gamma Variants of Corona Virus through WX1X2YW Model

Abstract

A WX1X2YW (Susceptible, Alpha Infectious, Gamma Infectious and Recovered) model has been developed to mimic coronavirus transmission in human populations in order to investigate the impact of two variations, such as Alpha and Gamma versions of the corona virus and their recovery during the COVID-19 pandemic. The Alpha and Gamma corona virus types are included in this model in accordance with the way the virus spreads. We determined R0, the threshold value. The Routh-Hurwitz Criterion has demonstrated that if the threshold number is less than one, the coronavirus has local steadiness at the infection free equilibrium point, and if the basic reproduction number is more than one, the endemic equilibrium state is locally stable. The Lyapunov Krasovshii approach produces global stability. Ranga-Kutta 4-5th numerical techniques are used to solve and simulate the system of differential equations, which sheds light on how the two coronavirus genotypes assault human society. This strategy may help direct the creation of defenses against the spread of the many coronavirus strains in human populations.