On the optimal control of SIR model with Erlang-distributed infectious period: isolation strategies

DOI10.1007/S00285-021-01668-1zbMath1471.92290OpenAlexW3200162807WikidataQ113905457 ScholiaQ113905457MaRDI QIDQ2232168

Rossella Della Marca, Luca Bolzoni, Maria Groppi

Publication date: 4 October 2021

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

Full work available at URL: https://doi.org/10.1007/s00285-021-01668-1

zbMATH Keywords

optimal controlbang-bang controlepidemicsSIR modelErlang distributionnon-exponential distribution

Mathematics Subject Classification ID

Epidemiology (92D30) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

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Cites Work

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• Generality of the final size formula for an epidemic of a newly invading infectious disease
• Mathematical models of Ebola -- consequences of underlying assumptions
• React or wait: which optimal culling strategy to control infectious diseases in wildlife
• Optimal control of epidemics with limited resources
• Dynamics of multi-stage infections on networks
• Integral equation models for endemic infectious diseases
• Pontryagin's principle for problems with isoperimetric constraints and for problems with inequality terminal constraints
• Optimal isolation policies for deterministic and stochastic epidemics
• Time-optimal control strategies in SIR epidemic models
• Effects of limited medical resource on a Filippov infectious disease model induced by selection pressure
• Control theory from the geometric viewpoint.
• Dynamics of a metapopulation epidemic model with localized culling
• Optimal control of epidemic size and duration with limited resources
• Evaluations of interventions using mathematical models with exponential and non-exponential distributions for disease stages: the case of Ebola
• Epidemiological models with non-exponentially distributed disease stages and applications to disease control
• The Mathematics of Infectious Diseases
• On the optimal control of a deterministic epidemic
• The estimation of latent and infectious periods
• Optimal control of deterministic epidemics

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