Mathematical Modelling and Control of COVID-19 Transmission in the Presence of Exposed Immigrants

• Main Authors: Gweryina, R.I (Author), Madubueze, C.E (Author), Nwaokolo, M.A (Author)
• Format: Article
• Language: English
• Published: Indonesian Biomathematical Society 2021
• Subjects: COVID-19; Doubling time; Exposed immigrants; Transcritical bifurcation
• Online Access: View Fulltext in Publisher

 In this paper, a mathematical model for COVID-19 pandemic that spreads through horizontal transmission in the presence of exposed immigrants is studied. The model has equilibrium points, notably, COVID-19-free equilibrium and COVID-19-endemic equilibrium points. The model exhibits a basic reproduction number, R0 which determines the elimination and persistence of the disease. It was found that when R0 < 1, then the equilibrium becomes locally asymptotically stable and endemic equilibrium does not exists. However, when R0 > 1, the equilibrium is found to be stable globally. This implies that continuous mixing of exposed immigrants with the susceptible population will make the eradication of COVID-19 difficult and endemic in the community. The system is also proved qualitatively to experience transcritical bifurcation close to the COVID-19-free equilibrium at the point R0 = 1. Numerically, the model is used to investigate the impact of certain other relevant parameters on the spread of COVID-19 and how to curtail their effect. © 2021 Published by Indonesian Biomathematical Society.