Coronavirus (covid-۱۹) Transmission Dynamics with Vaccination: A Mathematical Model Analysis

In this paper, a nonlinear mathematical model of COVID-۱۹ was developed. An SVEIHR model has been proposed using a system of ordinary differential equations. The model’s equilibrium points were found, and the model’s stability analysis and sensitivity analysis around these equilibrium points were investigated. The model’s basic reproduction number is investigated in the next-generation matrix. The disease free equilibrium of the COVID-۱۹ model is stable if the basic reproduction number is less than unity; if the basic reproduction number is greater than unity, the disease free equilibrium is unstable. We also utilize numerical simulation to explain how each parameter affects the basic reproduction number.

Keywords:

COVID-۱۹ , Pandemic , Reproduction Number , Stability Analysis , equilibrium point