Applying Adomian Decomposition Method for solving the Covid-19 epidemic with Vaccine

Abstract

Abstract— A pandemic Covid-19 is an epidemic that spreads over a big region, Crosse international borders, and often affects a lot of people. Only a few pandemics result in severe illness in a subset of people or in an entire community. The virus has mainly affects the elderly population. The virus, that causes Covid-19, has mainly been transmitted through droplet generate once an infected persons exhales, sneezes and coughs. These symptoms are too heavy; to hang in air, and quickly, fall on surface or floor. The COVID-19 pandemic model including the Vaccination Campaign is of natural phenomenon which can be represented as a system of differential equations for the first order; the mathematical models include a system of several second order nonlinear equations. We applied the Adomian decomposition methods to the mathematical models of Covid-19. The main advantage of this method is that it can be directly applied to all kinds of linear and nonlinear differential equations, homogeneous or nonhomogeneous, with constant or variable coefficients.  The derivatives of all compartments of the coronavirus model are continuous at t ≥ 0. The solutions of the model are non-negativity. It indicates that the, infection, will be gradually the epidemic and disappear will, stop.  If, R_0>1, the average of each affected individually. More than one person has infected, and the incidence of infection is in wrinkles. That means the epidemic, will not be end, while maintain the existence of the disease, the R_0=1 means that each infected patient results in an average infections.