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Erschienen in:
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2024 | OriginalPaper | Buchkapitel

1. Regional Control for a Class of Spatially Structured Epidemics: Think Globally, Act Locally

verfasst von : Sebastian Aniţa, Vincenzo Capasso, Simone Scacchi

Erschienen in: Mathematical Modeling and Control in Life and Environmental Sciences

Verlag: Springer International Publishing

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Abstract

This chapter introduces the problem of controlling a paradigmatic spatially structured epidemic system modelled as an integro-differential reaction–diffusion system. The spread of the epidemic is due to the interaction of the relevant population (humans, animals, trees, etc.) with a polluted environment. The public health concern consists of reducing the disease in the relevant habitat, as fast as possible, at an optimal cost. The underlying issue of our presentation is that very often the entire domain of interest for the epidemic is either unknown or difficult to manage, for an affordable implementation of suitable environmental sanitation programs. This is the reason why regional control has been proposed; it has been shown that, under suitable modelling assumptions, it is indeed sufficient to implement such programs only in a given subregion, conveniently chosen, so to lead to an effective reduction, and eventual eradication, of the epidemic in the whole habitat; it is evident that this practice may have an enormous importance in real cases with respect to both financial and practical affordability.

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Nächstes Kapitel Controlling the Spread of a Vector Borne Epidemic: The Case of Malaria
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Metadaten
Titel
Regional Control for a Class of Spatially Structured Epidemics: Think Globally, Act Locally
verfasst von
Sebastian Aniţa
Vincenzo Capasso
Simone Scacchi
Copyright-Jahr
2024
Buch
Mathematical Modeling and Control in Life and Environmental Sciences

Print ISBN: 978-3-031-49970-8

Electronic ISBN: 978-3-031-49971-5

Copyright-Jahr: 2024

DOI
https://doi.org/10.1007/978-3-031-49971-5_1

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