ArticleStudies in applied mathematics (Cambridge, Mass.)2021
Optimal quarantine-related strategies for COVID-19 control models.
Article in Studies in applied mathematics (Cambridge, Mass.), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
12 citing papers in PubMed, 20 citations in OpenAlex.
- Surveillance of the recurrence time of the effectiveness of national and region-level quarantines of COVID-19 pandemic in Chile.PloS one · 2024Article
- A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel.Computational biology and chemistry · 2022Article
- Incentives, lockdown, and testing: from Thucydides' analysis to the COVID-19 pandemic.Journal of mathematical biology · 2022Article
- Set-Valued Control to COVID-19 Spread with Treatment and Limitation of Vaccination Resources.Iranian journal of science and technology. Transaction A, Science · 2022Article
- Discrete and continuum models of COVID-19 virus, formal solutions, stability and comparison with real data.Mathematics and computers in simulation · 2021Article
- Assessment of event-triggered policies of nonpharmaceutical interventions based on epidemiological indicators.Journal of mathematical biology · 2021Article
- Optimal quarantine-related strategies for COVID-19 control models.Studies in applied mathematics (Cambridge, Mass.) · 2021Article
- Mortality containment vs. Economics Opening: Optimal policies in a SEIARD model.Journal of mathematical economics · 2021Article
- Global stability analysis of the role of multi-therapies and non-pharmaceutical treatment protocols for COVID-19 pandemic.Chaos, solitons, and fractals · 2021Article
- Optimal surveillance mitigation of COVID'19 disease outbreak: Fractional order optimal control of compartment model.Results in physics · 2021Article
- Planning of school teaching during Covid-19.Physica D. Nonlinear phenomena · 2021Article
- Optimal quarantine strategies for the COVID-19 pandemic in a population with a discrete age structure.Chaos, solitons, and fractals · 2020Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
3 authors at 3 institutions in 4 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
At the time when this paper was written, quarantine-related strategies (from full lockdown to some relaxed preventive measures) were the only available measure to control coronavirus disease 2019 (COVID-19) epidemic. However, long-term quarantine and especially full lockdown is an extremely expensive measure. To explore the possibility of controlling and suppressing the COVID-19 epidemic at the lowest possible cost, we apply optimal control theory. In this paper, we create two controlled Susceptible-Exposed-Infectious-Removed (SEIR) type models describing the spread of COVID-19 in a human population. For each model, we solve an optimal control problem and find the optimal quarantine strategy that ensures the minimal level of the infected population at the lowest possible cost. The properties of the corresponding optimal controls are established analytically using the Pontryagin maximum principle. The optimal solutions, obtained numerically, validate our analytical results. Additionally, for both controlled models, we find explicit formulas for the basic reproductive ratios in the presence of a constant control and show that while the epidemic can be eventually stopped under long-term quarantine measures of maximum strength (full lockdown), the strength of quarantine can be reduced under the optimal quarantine policies. The behavior of the appropriate optimal solutions and their dependence on the basic reproductive ratio, population density, and the duration of quarantine are discussed, and practically relevant conclusions are made.
Indexed as
Identifiers
What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.