Mathematical models serve as a powerful tool for visualizing and describing the dynamics of infectious diseases. In this article, the SEIRD (Susceptible-Exposed-Infected-Recovered-Deceased) epidemic model consisting of a system of five non-linear differential equations is considered. By using COVID-19 data pertinent to the United States and the world situation, the use of existence and uniqueness of the disease-free equilibrium is established, the value of the basic reproductive number is determined, a stability analysis is carried out, and the parameters that fit the model to the data are estimated. An optimal control approach is performed to study the effect of quarantine and isolation on the spread of COVID-19. The goal is to explore the effectiveness of quarantine and isolation at controlling the spread of COVID-19.
"Modeling COVID-19 Spread through the SEIRD Epidemic Model and Optimal Control,"
Proceedings of GREAT Day: Vol. 2021, Article 19.
Available at: https://knightscholar.geneseo.edu/proceedings-of-great-day/vol2021/iss1/19