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 proceedingConference contributionpeer-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 languageEnglish
Title of host publication2016 UKACC International Conference on Control, UKACC Control 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781467398916
DOIs
Publication statusPublished - 7 Nov 2016
Externally publishedYes
Event11th UKACC United Kingdom Automatic Control Council International Conference on Control, UKACC Control 2016 - Belfast, United Kingdom
Duration: 31 Aug 20162 Sept 2016

Publication series

Name2016 UKACC International Conference on Control, UKACC Control 2016

Conference

Conference11th UKACC United Kingdom Automatic Control Council International Conference on Control, UKACC Control 2016
Country/TerritoryUnited Kingdom
CityBelfast
Period31/08/162/09/16

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