Feedback Control Principles for Biological Control of Dengue Vectors

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• Pierre-Alexandre Bliman, Inria, Sorbonne Université, Université Paris-Cité, CNRS, Laboratoire Jacques-Louis Lions, Paris, France
• Thursday 07 July 2022, 14:00-15:00
• Denis Gabor Seminar Room, 611.

If you have a question about this talk, please contact Giordano Scarciotti.

Abstract: Controlling diseases such as dengue fever, chikungunya or zika by spreading the parasitic bacterium Wolbachia in mosquito populations which are their vectors, is considered a promising tool to reduce their spread. While description of the conditions of such experiments has received ample attention from biologists, entomologists and applied mathematicians, the effective scheduling of the releases remains an interesting issue for Control theory. Having in mind the important uncertainties on the dynamics of the two populations in interaction, we attempt here to identify general ideas for building release strategies, applicable to various models and situations. These principles are exemplified by the design of interval observer-based feedback control laws whose stabilizing properties are demonstrated theoretically and numerically when applied to a 4-dimensional ODE model retrieved from [P.-A. Bliman et al., J. Math. Biol. 76(5), 1269—1300 (2018)]. Crucial use is made of the theory of monotone systems [H.L. Smith, Monotone dynamical systems, American Mathematical Society (1995)] and [H.L. Smith, Monotone dynamical systems: reflections on new advances & applications, Discrete Contin. Dyn. Syst. A 37 (1), 485—504 (2017)]. Details may be found in [P.-A. Bliman, A feedback control perspective on biological control of dengue vectors by Wolbachia infection, European Journal of Control 59, 188–206 (2021)]

Biography: Pierre-Alexandre Bliman is Senior researcher at Inria, in the Laboratoire Jacques-Louis Lions at Sorbonne Université. Control scientist by education, his research interests are related to Mathematical epidemiology, applied to the study and control of infectious and vector-borne diseases.

This talk is part of the Control and Power Seminars series.

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• Andrea Picciau's list
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• Denis Gabor Seminar Room, 611

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