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Authors: S. Alonso-Quesada 1 ; M. De la Sen 1 and A. Ibeas 2

Affiliations: 1 Faculty of Science and Technology and University of the Basque Country, Spain ; 2 Escuela Técnica Superior de Ingeniería and Universitat Autònoma, Spain

Keyword(s): SEIR epidemic models, Vaccination, Nonlinear control, Stability, Positivity.

Related Ontology Subjects/Areas/Topics: Agents ; Algorithms and Software Tools ; Artificial Intelligence ; Bioinformatics ; Biomedical Engineering ; Enterprise Information Systems ; Information Systems Analysis and Specification ; Methodologies and Technologies ; Model Design and Evaluation ; Operational Research ; Simulation ; Systems Biology

Abstract: This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by a SEIR (susceptible plus infected plus infectious plus removed by immunity populations) epidemic 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 vaccination strategy is based on a continuous-time nonlinear control law synthesized via an exact feedback input-output linearization approach. The control objective is to asymptotically eradicate the infection. Moreover, the positivity and stability properties of the controlled system are investigated.

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Paper citation in several formats:
Alonso-Quesada, S.; De la Sen, M. and Ibeas, A. (2012). A VACCINATION CONTROL LAW BASED ON FEEDBACK LINEARIZATION TECHNIQUES FOR SEIR EPIDEMIC MODELS. In Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms (BIOSTEC 2012) - BIOINFORMATICS; ISBN 978-989-8425-90-4; ISSN 2184-4305, SciTePress, pages 76-85. DOI: 10.5220/0003764900760085

@conference{bioinformatics12,
author={S. Alonso{-}Quesada. and M. {De la Sen}. and A. Ibeas.},
title={A VACCINATION CONTROL LAW BASED ON FEEDBACK LINEARIZATION TECHNIQUES FOR SEIR EPIDEMIC MODELS},
booktitle={Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms (BIOSTEC 2012) - BIOINFORMATICS},
year={2012},
pages={76-85},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003764900760085},
isbn={978-989-8425-90-4},
issn={2184-4305},
}

TY - CONF

JO - Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms (BIOSTEC 2012) - BIOINFORMATICS
TI - A VACCINATION CONTROL LAW BASED ON FEEDBACK LINEARIZATION TECHNIQUES FOR SEIR EPIDEMIC MODELS
SN - 978-989-8425-90-4
IS - 2184-4305
AU - Alonso-Quesada, S.
AU - De la Sen, M.
AU - Ibeas, A.
PY - 2012
SP - 76
EP - 85
DO - 10.5220/0003764900760085
PB - SciTePress

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