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- Title
DATA-DRIVEN OPTIMAL CONTROL OF A SEIR MODEL FOR COVID-19.
- Authors
HAILIANG LIU; XUPING TIAN
- Abstract
We present a data-driven optimal control approach which integrates the reported partial data with the epidemic dynamics for COVID-19. We use a basic Susceptible-Exposed-Infectious-Recovered (SEIR) model, the model parameters are time-varying and learned from the data. This approach serves to forecast the evolution of the outbreak over a relatively short time period and provide scheduled controls of the epidemic. We provide efficient numerical algorithms based on a generalized Pontryagin's Maximum Principle associated with the optimal control theory. Numerical experiments demonstrate the effective performance of the proposed model and its numerical approximations.
- Subjects
PONTRYAGIN'S minimum principle; OPTIMAL control theory; COVID-19; COVID-19 pandemic; CONTROL theory (Engineering)
- Publication
Communications on Pure & Applied Analysis, 2023, Vol 22, Issue 1, p19
- ISSN
1534-0392
- Publication type
Article
- DOI
10.3934/cpaa.2021093