Document Zbl 07831202

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Control Appl. Methods</a> <a href="/?q=in%3A510998" title="Articles in this Issue">45, No. 2, 494-522 (2024)</a>. </div> <div class="abstract">Summary: It is recognized that social heterogeneities in terms of the contact distribution have a strong influence on the spread of infectious diseases. Nevertheless, few data are available on the group composition of social contacts, and their statistical description does not possess universal patterns and may vary spatially and temporally. It is therefore essential to design robust control strategies, mimicking the effects of non-pharmaceutical interventions, to limit efficiently the number of infected cases. In this work, starting from a recently introduced kinetic model for epidemiological dynamics that takes into account the impact of social contacts of individuals, we consider an uncertain contact formation dynamics leading to slim-tailed as well as fat-tailed distributions of contacts. Hence, we analyse the effects of an optimally robust control strategy of the system of agents. Thanks to classical methods of kinetic theory, we couple uncertainty quantification methods with the introduced mathematical model to assess the effects of social limitations. Finally, using the proposed modeling approach and starting from available data, we show the effectiveness of the proposed selective measures to dampen uncertainties together with the epidemic trends.<br class="zbmathjax-paragraph">© 2023 The Authors. <span class="zbmathjax-textit">Optimal Control Applications and Methods</span> published by John Wiley & Sons Ltd.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7831202">Cited in <strong>4</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93-XX" title="MSC2020">93-XX</a> </td> <td class="space"> Systems theory; control </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Akinetic+models">kinetic models</a>; <a href="/?q=ut%3Amathematical+epidemiology">mathematical epidemiology</a>; <a href="/?q=ut%3Amulti-agent+systems">multi-agent systems</a>; <a href="/?q=ut%3Anon-pharmaceutical+interventions">non-pharmaceutical interventions</a>; <a href="/?q=ut%3Aoptimal+control">optimal control</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07831202" data-ciurl="/ci/07831202" data-biburl="/bibtex/07831202.bib" data-amsurl="/amsrefs/07831202.bib" data-xmlurl="/xml/07831202.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07831202.pdf" title="Zbl 07831202 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/oca.3029" aria-label="DOI for “On the optimal control of kinetic epidemic models with uncertain social features”" title="10.1002/oca.3029">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2210.09201"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Albi, G.; Pareschi, L.; Zanella, M., Control with uncertain data of socially structured compartmental epidemic models, J Math Biol, 82, 2021 · <a href="/1467.92167" class="nowrap">Zbl 1467.92167</a></td> </tr><tr> <td>[2]</td> <td class="space">Gatto, M.; Bertuzzo, E.; Mari, L., Spread and dynamics of the COVID‐19 epidemic in Italy: effects of emergency containment measures, Proc Natl Acad Sci USA, 117, 19, 10484-10491, 2020</td> </tr><tr> <td>[3]</td> <td class="space">Bertuzzo, E.; Mari, L.; Pasetto, D., The geography of COVID‐19 spread in Italy and implications for the relaxation of confinement measures, Nat Commun, 11, 1, 1-11, 2020</td> </tr><tr> <td>[4]</td> <td class="space">McQuade, ST; Weightman, R.; Merrill, NJ, Control of COVID‐19 outbreak using an extended SEIR model, Math Models Methods Appl Sci, 31, 12, 2399-2424, 2021 · <a href="/1498.92234" class="nowrap">Zbl 1498.92234</a></td> </tr><tr> <td>[5]</td> <td class="space">Ferguson, N.; Laydon, D.; Nedjati‐Gilani, G., Report 9: impact of non‐pharmaceutical interventions (NPIs) to reduce COVID‐19 mortality and healthcare demand. 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