A feedback vaccination law for an SIR epidemic model: A case study

U. Saralegui; M. De La Sen; S. Alonso-Quesada

doi:10.1109/CONTROL.2016.7737565

A feedback vaccination law for an SIR epidemic model: A case study

U. Saralegui
, M. De La Sen
, S. Alonso-Quesada

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

6 Citas (Scopus)

Resumen

An SIR (Susceptible-Infected-Removed) epidemic model is mathematically analyzed while obtaining its equilibrium points and analyzing their stability. A feedback-infection dependent vaccination control law is proposed and studied. Finally, the mathematical model is applied to study the evolution of the common influenza in the Autonomous Community of the Basque Country (Spain). The infection has been parametrized using experimental data published by the medical services. With the obtained parameters different simulations are made to visualize the effects of a proportional vaccination in the number of infected individuals. It is seen that the vaccination decreases the overshoots compared to the vaccination-free case.

Idioma original	Inglés
Título de la publicación alojada	2016 UKACC International Conference on Control, UKACC Control 2016
Editorial	Institute of Electrical and Electronics Engineers Inc.
ISBN (versión digital)	9781467398916
DOI	https://doi.org/10.1109/CONTROL.2016.7737565
Estado	Publicada - 7 nov 2016
Publicado de forma externa	Sí
Evento	11th UKACC United Kingdom Automatic Control Council International Conference on Control, UKACC Control 2016 - Belfast, Reino Unido Duración: 31 ago 2016 → 2 sept 2016

Serie de la publicación

Nombre	2016 UKACC International Conference on Control, UKACC Control 2016

Conferencia

Conferencia	11th UKACC United Kingdom Automatic Control Council International Conference on Control, UKACC Control 2016
País/Territorio	Reino Unido
Ciudad	Belfast
Período	31/08/16 → 2/09/16

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ODS 3: Salud y bienestar

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10.1109/CONTROL.2016.7737565

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Saralegui, U., De La Sen, M., & Alonso-Quesada, S. (2016). A feedback vaccination law for an SIR epidemic model: A case study. En 2016 UKACC International Conference on Control, UKACC Control 2016 Artículo 7737565 (2016 UKACC International Conference on Control, UKACC Control 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CONTROL.2016.7737565

@inproceedings{2c33bf252be848e6b83c66739532b158,

title = "A feedback vaccination law for an SIR epidemic model: A case study",

abstract = "An SIR (Susceptible-Infected-Removed) epidemic model is mathematically analyzed while obtaining its equilibrium points and analyzing their stability. A feedback-infection dependent vaccination control law is proposed and studied. Finally, the mathematical model is applied to study the evolution of the common influenza in the Autonomous Community of the Basque Country (Spain). The infection has been parametrized using experimental data published by the medical services. With the obtained parameters different simulations are made to visualize the effects of a proportional vaccination in the number of infected individuals. It is seen that the vaccination decreases the overshoots compared to the vaccination-free case.",

author = "U. Saralegui and \{De La Sen\}, M. and S. Alonso-Quesada",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 11th UKACC United Kingdom Automatic Control Council International Conference on Control, UKACC Control 2016 ; Conference date: 31-08-2016 Through 02-09-2016",

year = "2016",

month = nov,

day = "7",

doi = "10.1109/CONTROL.2016.7737565",

language = "English",

series = "2016 UKACC International Conference on Control, UKACC Control 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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Saralegui, U, De La Sen, M & Alonso-Quesada, S 2016, A feedback vaccination law for an SIR epidemic model: A case study. En 2016 UKACC International Conference on Control, UKACC Control 2016., 7737565, 2016 UKACC International Conference on Control, UKACC Control 2016, Institute of Electrical and Electronics Engineers Inc., 11th UKACC United Kingdom Automatic Control Council International Conference on Control, UKACC Control 2016, Belfast, Reino Unido, 31/08/16. https://doi.org/10.1109/CONTROL.2016.7737565

A feedback vaccination law for an SIR epidemic model: A case study. / Saralegui, U.; De La Sen, M.; Alonso-Quesada, S.
2016 UKACC International Conference on Control, UKACC Control 2016. Institute of Electrical and Electronics Engineers Inc., 2016. 7737565 (2016 UKACC International Conference on Control, UKACC Control 2016).

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

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Y1 - 2016/11/7

N2 - An SIR (Susceptible-Infected-Removed) epidemic model is mathematically analyzed while obtaining its equilibrium points and analyzing their stability. A feedback-infection dependent vaccination control law is proposed and studied. Finally, the mathematical model is applied to study the evolution of the common influenza in the Autonomous Community of the Basque Country (Spain). The infection has been parametrized using experimental data published by the medical services. With the obtained parameters different simulations are made to visualize the effects of a proportional vaccination in the number of infected individuals. It is seen that the vaccination decreases the overshoots compared to the vaccination-free case.

AB - An SIR (Susceptible-Infected-Removed) epidemic model is mathematically analyzed while obtaining its equilibrium points and analyzing their stability. A feedback-infection dependent vaccination control law is proposed and studied. Finally, the mathematical model is applied to study the evolution of the common influenza in the Autonomous Community of the Basque Country (Spain). The infection has been parametrized using experimental data published by the medical services. With the obtained parameters different simulations are made to visualize the effects of a proportional vaccination in the number of infected individuals. It is seen that the vaccination decreases the overshoots compared to the vaccination-free case.

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DO - 10.1109/CONTROL.2016.7737565

M3 - Conference contribution

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BT - 2016 UKACC International Conference on Control, UKACC Control 2016

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 31 August 2016 through 2 September 2016

ER -

A feedback vaccination law for an SIR epidemic model: A case study

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