On vaccination controls for the SEIR epidemic model

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

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42 Citations (Scopus)


This paper presents a simple continuous-time linear vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) disease propagation 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 (i.e. susceptible plus infected plus infectious) to asymptotically tend to zero. © 2011 Elsevier B.V.
Original languageEnglish
Pages (from-to)2637-2658
JournalCommunications in Nonlinear Science and Numerical Simulation
Publication statusPublished - 1 Jun 2012


  • Control
  • Epidemic models
  • SEIR epidemic models
  • Stability

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