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On a safety set for an epidemic model with a bounded population

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On a safety set for an epidemic model with a bounded population

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dc.contributor.author Coll, Carmen es_ES
dc.contributor.author Romero Vivó, Sergio es_ES
dc.contributor.author Sánchez, Elena es_ES
dc.date.accessioned 2023-02-28T19:00:51Z
dc.date.available 2023-02-28T19:00:51Z
dc.date.issued 2022 es_ES
dc.identifier.issn 1392-6292 es_ES
dc.identifier.uri http://hdl.handle.net/10251/192164
dc.description.abstract [EN] Given a class of non-linear SIRS epidemic model, we analyse some useful conditions on the model parameters to determine a safety set for the containment of an epidemic. In addition, once that set is determined, we find control actions so that the epidemic remains within the security set with infection rates below an allowed amount. More specifically, for every initial state in a certain safety set of the state space there exists an adequate control policy maintaining the state of the system in such safety set. Sufficient conditions for the existence of a solution under a feedback are derived in terms of linear inequalities on the input vectors at the vertices of a polytope. es_ES
dc.language Inglés es_ES
dc.publisher Vilnius Gediminas Technical University es_ES
dc.relation.ispartof Mathematical Modelling and Analysis es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Epidemiological process es_ES
dc.subject Discrete-time non-linear system es_ES
dc.subject Positivity es_ES
dc.subject Stability es_ES
dc.subject Control feedback es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On a safety set for an epidemic model with a bounded population es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3846/mma.2022.14586 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos - Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería del Diseño - Escola Tècnica Superior d'Enginyeria del Disseny es_ES
dc.description.bibliographicCitation Coll, C.; Romero Vivó, S.; Sánchez, E. (2022). On a safety set for an epidemic model with a bounded population. Mathematical Modelling and Analysis. 27(2):263-281. https://doi.org/10.3846/mma.2022.14586 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3846/mma.2022.14586 es_ES
dc.description.upvformatpinicio 263 es_ES
dc.description.upvformatpfin 281 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 27 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\477232 es_ES


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