ON VACCINATION CONTROLS FOR THE SEIR EPIDEMIC MODEL WITH SUSCEPTIBLE PLUS IMMUNE POPULATIONS TRACKING THE WHOLE POPULATION

M. De la Sen, S. Alonso-Quesada, A. Ibeas

Abstract

This paper presents a simple continuous-time linear vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes more difficult contacts among susceptible and infected. The control objective is the asymptotically tracking the joint susceptible plus the removed-by-immunity population to the total population while achieving simultaneously the remaining population (i.e. infected plus infectious) to asymptotically tend to zero.

References

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Paper Citation


in Harvard Style

De la Sen M., Alonso-Quesada S. and Ibeas A. (2011). ON VACCINATION CONTROLS FOR THE SEIR EPIDEMIC MODEL WITH SUSCEPTIBLE PLUS IMMUNE POPULATIONS TRACKING THE WHOLE POPULATION . In Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms - Volume 1: BIOINFORMATICS, (BIOSTEC 2011) ISBN 978-989-8425-36-2, pages 165-172. DOI: 10.5220/0003152901650172


in Bibtex Style

@conference{bioinformatics11,
author={M. De la Sen and S. Alonso-Quesada and A. Ibeas},
title={ON VACCINATION CONTROLS FOR THE SEIR EPIDEMIC MODEL WITH SUSCEPTIBLE PLUS IMMUNE POPULATIONS TRACKING THE WHOLE POPULATION },
booktitle={Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms - Volume 1: BIOINFORMATICS, (BIOSTEC 2011)},
year={2011},
pages={165-172},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003152901650172},
isbn={978-989-8425-36-2},
}


in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms - Volume 1: BIOINFORMATICS, (BIOSTEC 2011)
TI - ON VACCINATION CONTROLS FOR THE SEIR EPIDEMIC MODEL WITH SUSCEPTIBLE PLUS IMMUNE POPULATIONS TRACKING THE WHOLE POPULATION
SN - 978-989-8425-36-2
AU - De la Sen M.
AU - Alonso-Quesada S.
AU - Ibeas A.
PY - 2011
SP - 165
EP - 172
DO - 10.5220/0003152901650172