Study and Analysis of Corona-Virus Transfer Dynamics using Enhanced SEIR Epidemic Model with Vaccination Effect

Abstract

Corona Virus Syndrome (COVID-19) is a contagious disease and it is considered one of the deadliest viruses ever known to humanity. In this work, the transmission dynamics of the COVID- 19 has been studied using an enhanced SEIR epidemic compartmental model with a vaccination compartment. This model divides the whole population into five categories: susceptible (S), exposed (E), infectious (I), recovered (R), and vaccinated (V). Firstly, Positivity, Existence and Uniqueness of solution are illustrated. Secondly, a mathematical analysis is done to study the equilibrium points of the model and the basic reproduction number has been computed using Next Generation Matrix method. Thirdly, by using analytical computation the Stability of disease free equilibrium (DFE) point of the model is discussed and the Existence, and uniqueness of the endemic equilibrium are proved. Finally, Bifurcation coefficient is computed using the available data and Simulations are made to illustrate the effect of the transmission rate and vaccination rate on the value of the basic reproduction number.