Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention

DOI10.1007/s00285-021-01628-9zbMath1467.92206arXiv2004.08848OpenAlexW3017215271WikidataQ113187193 ScholiaQ113187193MaRDI QIDQ2040271

David I. Ketcheson

Publication date: 13 July 2021

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08848

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of optimal control and differential games (49N90) Control problems involving ordinary differential equations (34H05) Mathematical modeling or simulation for problems pertaining to biology (92-10) Hamilton-Jacobi equations in optimal control and differential games (49L12)

Related Items (10)

SIR epidemics with state-dependent costs and ICU constraints: a Hamilton-Jacobi verification argument and dual LP algorithms ⋮ Minimizing the epidemic final size while containing the infected peak prevalence in SIR systems ⋮ Optimal Intervention Strategies for Minimizing Total Incidence During an Epidemic ⋮ Controlled compartmental models with time-varying population: normalization, viability and comparison ⋮ Isolation‐oriented Lyapunov‐based design of simultaneous feedback strategies for disease control of SIQR ⋮ Optimal Vaccination Policies for COVID-19 Considering Vaccine Doses Delays ⋮ Confinement tonicity on epidemic spreading ⋮ Return-to-normality in a piecewise deterministic Markov SIR+V model with pharmaceutical and non-pharmaceutical interventions ⋮ Optimal control of a SIR epidemic with ICU constraints and target objectives ⋮ An optimal feedback control that minimizes the epidemic peak in the SIR model under a budget constraint

Uses Software

• CLAWPACK
• Pyclaw
• SharpClaw
• PyWENO
• GitHub

Cites Work

• Unnamed Item
• Unnamed Item
• Exact analytical solutions of the susceptible-infected-recovered (SIR) epidemic model and of the SIR model with equal death and birth rates
• Some results on optimal control applied to epidemics
• Optimal control of the chemotherapy of HIV
• Intervention to maximise the probability of epidemic fade-out
• Optimal control of treatments in a two-strain tuberculosis model
• Dynamics of a model with quarantine-adjusted incidence and quarantine of susceptible individuals
• Optimal control in epidemiology
• Optimal and sub-optimal quarantine and isolation control in SARS epidemics
• The Mathematics of Infectious Diseases
• Functional Analysis, Calculus of Variations and Optimal Control
• PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems
• Lambert'sWmeets Kermack–McKendrick Epidemics
• High-Order Wave Propagation Algorithms for Hyperbolic Systems

This page was built for publication: Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention