Mathematical model for COVID-19 transmission with impact of vaccination

Abstract

The novel coronavirus disease (COVID-19) caused by SARS-CoV-2 remains a major public health concerned globally. In this article, we developed and analyzed an epidemic model of COVID-19 with impact of vaccination governed by a five system of ordinary differential equations. The developed model is analyzed and the threshold quantity known as the effective reproduction number RV is obtained by using the next generation matrix. We investigate the equilibrium stability of the system, and the disease-free equilibrium is said to be locally asymptotically stable when the effective reproduction number is less than unity, and unstable otherwise. It is observed that the system undergoes the phenomenon of backward bifurcation. Numerical simulations of the overall system are implemented in MATLAB for demonstration of the theoretical results.