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Vaccination strategies based on feedback control techniques for a general SEIR-epidemic model. (English) Zbl 1238.92030
Summary: 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 susceptibles and infecteds. 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.

MSC:
92C60 Medical epidemiology
92D30 Epidemiology
93B52 Feedback control
34H15 Stabilization of solutions to ordinary differential equations
Keywords:
stability
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