An optimal control of bi-modal COVID-19 SEIQR epidemic spreading model in India

Abstract

A pandemic is a disease that spreads over a broad territory. COVID-19 is the latest pandemic to be reported, following the 1918 flu pandemic. We develop a compartmental model based on the classic SEIQR model to investigate coronavirus dynamics in India, incorporating bi-modal susceptible variables and quarantine in this article. We found the reproduction number by using the next-generation matrix. The stability results were statistically validated using the reproduction number. Moreover, global stability analyses are performed analytically and illustrated through numerical simulations. In optimal control analysis, four control parameters are used to explore the increase and decrease of the infected and exposed individuals.

Keywords

• SEIQR mathematical model
• Epidemic model
• Stability analysis
• Fixed point theory
• Optimal control