Strategies and Impacts of COVID-19 Vaccine Rollout: A Deterministic SEIVR Model Approach

Abstract

Immunization has come to play a key role in our primary health care as it has saved millions of lives yearly since it came into existence. The Corona virus disease (COVID-19) pandemic brought about an urgent need for Covid-19 vaccines. Various researches have been done and are still ongoing to help produce vaccines to help protect people by creating an immune response without the potentially severe illness or post-COVID conditions associated with COVID-19 infection. In this work, vaccine deployment strategies and their impact using a deterministic SEIVR model was examined. This consists of investigating the disease-free and endemic equilibria, basic reproduction number and stability. The local stability of the disease-free equilibrium was determined by solving the Jacobian matrix of the system of the system of differential equations. The study calculated the basic reproduction number, R0 , using the next generation matrix method and found it to be R0=1.1251426e−10. This low value suggests that vaccination efforts can be effective in reducing the spread of COVID-19.