A note on the use of optimal control on a discrete time model of influenza dynamics

Paula A. González-Parra, Sunmi Lee, Leticia Velázquez, Carlos Castillo-Chavez

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


A discrete time Susceptible - Asymptomatic - Infectious - Treated - Recovered (SAITR) model is introduced in the context of influenza transmission. We evaluate the potential effect of control measures such as social distancing and antiviral treatment on the dynamics of a single outbreak. Optimal control theory is applied to identify the best way of reducing morbidity and mortality at a minimal cost. The problem is solved by using a discrete version of Pontryagin's maximum principle. Numerical results show that dual strategies have stronger impact in the reduction of the final epidemic size.

Original languageEnglish (US)
Pages (from-to)183-197
Number of pages15
JournalMathematical Biosciences and Engineering
Issue number1
StatePublished - Jan 2011


  • Antiviral treatment
  • Influenza
  • Optimal control
  • Social distancing

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Agricultural and Biological Sciences
  • Computational Mathematics
  • Applied Mathematics


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