TITLE:
A New Mathematical Modeling of the COVID-19 Pandemic Including the Vaccination Campaign
AUTHORS:
Mehmet Yavuz, Fatma Özlem Coşar, Fatma Günay, Feyza Nur Özdemir
KEYWORDS:
COVID-19 Model, Vaccination Campaign, Stability Analysis, Runge-Kutta Numerical Scheme
JOURNAL NAME:
Open Journal of Modelling and Simulation,
Vol.9 No.3,
July
20,
2021
ABSTRACT: In a short time, many illustrative studies have been
conducted on the mathematical modeling and analysis of COVID-19. There are not
enough studies taking into account the vaccine campaign among these studies. In
this context, a mathematical model is developed to reveal the effects of
vaccine treatment, which has been performed recently, on COVID-19 in this
study. In the proposed model, as well as the vaccinated individuals, a
five-dimensional compartment system including the susceptible, infected,
exposed and recovered population is constructed. Moreover, besides the
positivity, existence and uniqueness of the solution, biologically feasible
region are provided. The basic reproduction number known as expected secondary infection which means
that expected infection among the susceptible populations caused by this
infection is evaluated. In the numerical simulations, the parameter values
taken from the literature and estimated are used to perform the solutions of
the proposed model. Fourth-order Runge-Kutta numerical scheme is applied to
obtain the results.