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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Citations (Scopus)

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.

Original language	English
Title of host publication	2016 UKACC International Conference on Control, UKACC Control 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781467398916
DOIs	https://doi.org/10.1109/CONTROL.2016.7737565
Publication status	Published - 7 Nov 2016
Externally published	Yes
Event	11th UKACC United Kingdom Automatic Control Council International Conference on Control, UKACC Control 2016 - Belfast, United Kingdom Duration: 31 Aug 2016 → 2 Sept 2016

Publication series

Name	2016 UKACC International Conference on Control, UKACC Control 2016

Conference

Conference	11th UKACC United Kingdom Automatic Control Council International Conference on Control, UKACC Control 2016
Country/Territory	United Kingdom
City	Belfast
Period	31/08/16 → 2/09/16

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

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10.1109/CONTROL.2016.7737565

Cite this

Saralegui, U., De La Sen, M., & Alonso-Quesada, S. (2016). A feedback vaccination law for an SIR epidemic model: A case study. In 2016 UKACC International Conference on Control, UKACC Control 2016 Article 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.",

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

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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. in 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, United Kingdom, 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).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - De La Sen, M.

AU - Alonso-Quesada, S.

PY - 2016/11/7

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.

UR - https://www.scopus.com/pages/publications/85004073275

U2 - 10.1109/CONTROL.2016.7737565

DO - 10.1109/CONTROL.2016.7737565

M3 - Conference contribution

AN - SCOPUS:85004073275

T3 - 2016 UKACC International Conference on Control, UKACC Control 2016

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

Abstract

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UN SDGs

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