ArticleMathematical and computer modelling2008
Optimal and sub-optimal quarantine and isolation control in SARS epidemics.
Article in Mathematical and computer modelling, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 34 papers.
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34 citing papers in PubMed.
- Mathematical analysis and computation of a spatiotemporal SIQR model.Theory in biosciences = Theorie in den Biowissenschaften · 2025Article
- The impact of the COVID-19 pandemic on smoking in adolescents: a scoping review.BMC public health · 2025Article
- Epidemic spreading under mutually independent intra- and inter-host pathogen evolution.Nature communications · 2022Article
- Determination and estimation of optimal quarantine duration for infectious diseases with application to data analysis of COVID-19.Biometrics · 2022Article
- COVID-19 and Chikungunya: an optimal control model with consideration of social and environmental factors.Journal of ambient intelligence and humanized computing · 2022Article
- Integrative lymph node-mimicking models created with biomaterials and computational tools to study the immune system.Materials today. Bio · 2022Review
- Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention.Journal of mathematical biology · 2021Article
- A simple criterion to design optimal non-pharmaceutical interventions for mitigating epidemic outbreaks.Journal of the Royal Society, Interface · 2021Article
- Mortality containment vs. Economics Opening: Optimal policies in a SEIARD model.Journal of mathematical economics · 2021Article
- The economics of epidemics and contagious diseases: An introduction.Journal of mathematical economics · 2021Article
- How best can finite-time social distancing reduce epidemic final size?Journal of theoretical biology · 2021Article
- Multitask learning and nonlinear optimal control of the COVID-19 outbreak: A geometric programming approach.Annual reviews in control · 2021Article
- Optimal control for COVID-19 pandemic with quarantine and antiviral therapy.Sensors international · 2021Article
- Analysis and optimal control of a Huanglongbing mathematical model with resistant vector.Infectious Disease Modelling · 2021Article
- Estimation of parameters for a humidity-dependent compartmental model of the COVID-19 outbreak.PeerJ · 2021Article
- Non-Pharmaceutical Interventions and Military Hygiene at the United States Military Academy between 1890 and 1910.Military medicine · 2020Article
- How Have COVID-19 Isolation Policies Affected Young People's Mental Health? - Evidence From Chinese College Students.Frontiers in psychology · 2020Article
- Controlling the Spread of COVID-19: Optimal Control Analysis.Computational and mathematical methods in medicine · 2020Article
- Modeling the impact of quarantine during an outbreak of Ebola virus disease.Infectious Disease Modelling · 2019Article
- Optimal control and cost-effective analysis of the 2017 meningitis outbreak in Nigeria.Infectious Disease Modelling · 2019Article
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2 authors.
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Abstract
This paper discusses the application of optimal and sub-optimal controls to a SEQIJR SARS model via the Pontryagin's Maximum Principle. To this end, two control variables representing the quarantine and isolation strategies are considered in the model. The numerical optimal control laws are implemented in an iterative method, and the sub-optimal solution is computed using a genetic algorithm. The simulation results demonstrate that the maximal applications of quarantining and isolation strategies in the early stage of the epidemic are of very critical impacts in both cases of optimal and sub-optimal control. Otherwise, the control effect will be much worse. This gives a theoretical interpretation to the practical experiences that the early quarantine and isolation strategies are critically important to control the outbreaks of epidemics. Furthermore, our results also show that the proposed sub-optimal control can lead to performances close to the optimal control, but with much simpler strategies for long periods of time in practical use.
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