Mathematical Analysis of COVID-19 Transmission Dynamics Model in Ghana with Double-Dose Vaccination and Quarantine

Abstract

The discovery of vaccines for COVID-19 has been helpful in the fight against the spread of the disease. Even with these vaccines, the virus continues to spread in many countries, with some vaccinated persons even reported to have been infected, calling for administration of booster vaccines. The need for continued use of nonpharmaceutical interventions to complement the administration of vaccines cannot therefore be overemphasized. This study presents a novel mathematical model to study the impact of quarantine and double-dose vaccination on the spread of the disease. The local stability analysis of the COVID-19-free and endemic equilibria is examined using the Lyapunov second technique. The equilibria are found to be locally asymptotically stable if R 0 < 1 and R 0 > 1 , respectively. Besides other analytical results, numerical simulations are performed to illustrate the analytical results established in the paper.

Mathematical Modelling of COVID-19 Transmission Dynamics with Vaccination: A Case Study in Ethiopia

“…According to the fndings, a full-dose vaccination campaign has the ability to eradicate the virus from the community. A similar study [18] was undertaken for the case in Ghana, and it revealed that implementing double-dose vaccination and quarantine will help reduce the spread of COVID-19. We will consider a similar model with double-dose vaccination in the case of Ethiopia.…”

“…and (zh/zI a ) and zh/zI s are as in equations ( 17) and (18). Te Jacobian matrix (45) evaluated at the disease-free equilibrium E dfe is given by…”

“…Even with these immunizations, the virus continues to spread in many countries, with some vaccinated people becoming infected, necessitating the delivery of booster shots. Recently, the authors in [17,18] have built mathematical models devoted to studying the impact of double dosage vaccination. Te authors of [17] looked at a COVID-19 model with a double-dose vaccination strategy to reduce the illness outbreak in Bangladesh.…”

Mathematical modelling of COVID-19 transmission dynamics with vaccination: A case study in Ethiopia

“…According to the findings, a full-dose vaccination campaign has the ability to eradicate the virus from the community. A similar study [2] was undertaken for the case in Ghana, and it revealed that implementing double-dose vaccination and quarantine will help reduce the spread of COVID-19. We will consider a similar model with double-dose vaccination in the the case of Ethiopia.…”

“…Even with these immunizations, the virus continues to spread in many countries, with some vaccinated people becoming infected, necessitating the delivery of booster shots. Recently, authors in [24, 2] have built mathematical models devoted to studying the impact of double dosage vaccination. The authors of [24] looked at a COVID-19 model with a double-dose vaccination strategy to reduce the illness outbreak in Bangladish.…”