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DTSTART;TZID=Europe/Brussels:20220310T130000
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DTSTAMP:20260428T124025
CREATED:20211207T160831Z
LAST-MODIFIED:20220209T134759Z
UID:1478-1646917200-1646920800@www.naxys.be
SUMMARY:Candy Sonveaux (Université de Namur)
DESCRIPTION:Title:  “Vaccination strategy design by a state-feedback control for an Age-Dependent epidemiologic model” \nAn age-dependent SIR epidemic model is studied with an input corresponding to the vaccination rate of susceptible individuals. The stability analysis of the equilibria highlights that\, when the basic reproduction number is greater than one\, the endemic equilibrium is stable whereas the disease-free one is unstable. According to this result\, we aim to design a stabilizing state-feedback law of vaccination which eradicates the disease. This law is obtained for two different models. The first one consists in a nonlinear set of ordinary differential equations derived from the second one\, a set of nonlinear partial integro-differential equation (PIDE)\, via a discretization by age. For the first model\, Isidori’s theory allows us to design a linearizing stabilizing state-feedback. The second law is deduced from the first one and\, using similar arguments as in Isidori’s theory\, we show that the application of this law to the PIDE model results in a linear\, positive and stable closed-loop system. Moreover\, non-negativity conditions for the feedback law are obtained in both cases\, ensuring real feasibility of the control law. Finally\, numerical simulations complement theoretical arguments.
URL:https://www.naxys.be/event/candy-sonveaux-universite-de-namur/
CATEGORIES:NAXYS Seminar
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DTSTART;TZID=Europe/Brussels:20220317T130000
DTEND;TZID=Europe/Brussels:20220317T140000
DTSTAMP:20260428T124025
CREATED:20211207T160924Z
LAST-MODIFIED:20220221T111004Z
UID:1480-1647522000-1647525600@www.naxys.be
SUMMARY:Marvyn Gulina (Université de Namur)
DESCRIPTION:Title: Spectral identification of networks with generalized diffusive coupling \nSpectral network identification aims at inferring the eigenvalues of the Laplacian matrix of a network from measurement data. This allows to capture global information on the network structure from local measurements at a few number of nodes. In this paper\, we consider the spectral network identification problem in the generalized setting of a vector-valued diffusive coupling. The feasibility of this problem is investigated and theoretical results on the properties of the associated generalized eigenvalue problem are obtained. Finally\, we propose a numerical method to solve the generalized network identification problem\, which relies on dynamic mode decomposition and leverages the above theoretical results.
URL:https://www.naxys.be/event/marvyn-gulina-universite-de-namur/
CATEGORIES:NAXYS Seminar
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DTSTART;TZID=Europe/Brussels:20220331T130000
DTEND;TZID=Europe/Brussels:20220331T140000
DTSTAMP:20260428T124025
CREATED:20211207T161029Z
LAST-MODIFIED:20220324T133656Z
UID:1482-1648731600-1648735200@www.naxys.be
SUMMARY:Nicolas Franco (Université de Namur & Hasselt Universiteit)
DESCRIPTION:Title: “Using social contact data to inform covid-19 epidemiological models and parameters” \nConcerning SARS-CoV-2 transmission as well as many other infectious diseases\, heterogeneity and age-related characteristics are crucial in order to correctly capture the dynamics. The use of social contact data is a modern method which has been widely used during the covid-19 pandemic in Belgium and other European countries thanks to the CoMix survey. In this talk\, we present why and how those social contact data should be used. We develop the next generation principle based on Perron-Frobenius theory and derive a new numerical tool to estimate the time-evolution of heterogeneous susceptibility regarding SARS-CoV-2 infection and transmission. \n  \nThe seminar will take place in room S08 at the Faculty of Sciences
URL:https://www.naxys.be/event/nicolas-franco-universite-de-namur-hasselt-universiteit/
CATEGORIES:NAXYS Seminar
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