PB
Paolo Bolzern
5 records found
1
Early detection of the emergence of a new variant of concern (VoC) is essential to develop strategies that contain epidemic outbreaks. For example, knowing in which region a VoC starts spreading enables prompt actions to circumscribe the geographical area where the new variant ca
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Optimal control of compartmental models
The exact solution
We formulate a control problem for positive compartmental systems formed by nodes (buffers) and arcs (flows). Our main result is that, on a finite horizon, we can solve the Pontryagin equations in one shot without resorting to trial and error via shooting. As expected, the soluti
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We consider a class of epidemiological models with an arbitrary number of infected compartments. We show that the logarithmic derivatives of the infected states converge to a consensus; this property rigorously explains the feature empirically observed in real epidemic data: the
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Despite progress in clinical care for patients with coronavirus disease 2019 (COVID-19)1, population-wide interventions are still crucial to manage the pandemic, which has been aggravated by the emergence of new, highly transmissible variants. In this study, we combine
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Generalized epidemiological compartmental models
Guaranteed bounds via optimal control
We consider a class of epidemiological models in which a compartmental linear system, including various categories of infected individuals (e.g. asymptomatic, symptomatic, quarantined), is fed back by a positive feedback, representing contagion. The positive feedback gain decreas
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