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 of the removed-by-immunity population to the total population while achieving simultaneously the remaining population tends to zero.
Index Terms—Control, SEIR epidemic models, stability.
M. De la Sen, S. Alonso-Quesada, and R. Nistal are with the Department of Electricity and Electronics, University of The Basque Country, UPV/EHU, Leioa 48940, Spain (e-mail: manuel.delasen@ehu.es, santiago.alonso@ehu.es, raul.nistal@gmail.com).
A. Ibeas is with the Department of Telecommunications and Systems Engineering, Universitat Autònoma de Barcelona, UAB, Bellaterra, Spain (e-mail: Asier.Ibeas@uab.es).
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Cite: M. De la Sen, S. Alonso-Quesada, A. Ibeas, and R. Nistal, "An Observer-Based Vaccination Law for a SEIR Epidemic Model,"
International Journal of Computer Theory and Engineering vol. 4, no. 3, pp. 379-385, 2012.
