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 journalArticle

8 Citations (Scopus)

Abstract

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
Volume8
Issue number1
DOIs
StatePublished - Jan 2011

Fingerprint

Pontryagin Maximum Principle
Maximum principle
Morbidity
Optimal Control Theory
Discrete-time Model
Influenza
Control theory
Mortality
influenza
Human Influenza
Antiviral Agents
Disease Outbreaks
morbidity
control methods
Optimal Control
Discrete-time
Costs and Cost Analysis
Numerical Results
Evaluate
Costs

Keywords

  • Antiviral treatment
  • Influenza
  • Optimal control
  • Social distancing

ASJC Scopus subject areas

  • Applied Mathematics
  • Modeling and Simulation
  • Computational Mathematics
  • Agricultural and Biological Sciences(all)
  • Medicine(all)

Cite this

A note on the use of optimal control on a discrete time model of influenza dynamics. / González-Parra, Paula A.; Lee, Sunmi; Velázquez, Leticia; Castillo-Chavez, Carlos.

In: Mathematical Biosciences and Engineering, Vol. 8, No. 1, 01.2011, p. 183-197.

Research output: Contribution to journalArticle

González-Parra, Paula A. ; Lee, Sunmi ; Velázquez, Leticia ; Castillo-Chavez, Carlos. / A note on the use of optimal control on a discrete time model of influenza dynamics. In: Mathematical Biosciences and Engineering. 2011 ; Vol. 8, No. 1. pp. 183-197.
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