Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 218, Issue 7, Pages 3888-3904Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.09.036
Keywords
Epidemic models; Feedback control; SEIR-epidemic models; Stability
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Funding
- Spanish Ministry of Education [DPI2009-07197]
- Basque Government [IT378-10, SAIOTEK SPE07UN04, SAIOTEK SPE09UN12]
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This paper presents several simple linear vaccination-based control strategies 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 vaccination control objective is the asymptotically tracking of the removed-by-immunity population to the total population while achieving simultaneously that the remaining populations (i.e. susceptible plus infected plus infectious) tend asymptotically to zero. (C) 2011 Elsevier Inc. All rights reserved.
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