Abstract

We formulated a discrete time model in order to study optimal control strategies for a single influenza outbreak. In our model, we divided the population into four classes: susceptible, infectious, treated, and recovered individuals. The total population was divided into subgroups according to activity or susceptibility levels. The goal was to determine how treatment doses should be distributed in each group in order to reduce the final epidemic size. The case of limited resources is considered by including an isoperimetric constraint. We found that the use of antiviral treatment resulted in reductions in the cumulative number of infected individuals. We proposed to solve the problem by using the primal-dual interior-point method that enforces epidemiological constraints explicitly.

Original languageEnglish (US)
Title of host publicationAdvances in Intelligent Systems and Computing
Pages231-237
Number of pages7
Volume232
DOIs
StatePublished - 2014
Event2nd Colombian Congress on Computational Biology and Bioinformatics, CCBCOL 2013 - Manizales, Colombia
Duration: Sep 25 2013Sep 27 2013

Publication series

NameAdvances in Intelligent Systems and Computing
Volume232
ISSN (Print)21945357

Other

Other2nd Colombian Congress on Computational Biology and Bioinformatics, CCBCOL 2013
CountryColombia
CityManizales
Period9/25/139/27/13

Keywords

  • Epidemiology
  • Influenza
  • Interior-Point methods
  • Optimal Control

ASJC Scopus subject areas

  • Computer Science(all)
  • Control and Systems Engineering

Cite this

Parra, P. A. G., Ceberio, M., Lee, S., & Castillo-Chavez, C. (2014). Optimal control for a discrete time influenza model. In Advances in Intelligent Systems and Computing (Vol. 232, pp. 231-237). (Advances in Intelligent Systems and Computing; Vol. 232). https://doi.org/10.1007/978-3-319-01568-2_33

Optimal control for a discrete time influenza model. / Parra, Paula Andrea Gonzalez; Ceberio, Martine; Lee, Sunmi; Castillo-Chavez, Carlos.

Advances in Intelligent Systems and Computing. Vol. 232 2014. p. 231-237 (Advances in Intelligent Systems and Computing; Vol. 232).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Parra, PAG, Ceberio, M, Lee, S & Castillo-Chavez, C 2014, Optimal control for a discrete time influenza model. in Advances in Intelligent Systems and Computing. vol. 232, Advances in Intelligent Systems and Computing, vol. 232, pp. 231-237, 2nd Colombian Congress on Computational Biology and Bioinformatics, CCBCOL 2013, Manizales, Colombia, 9/25/13. https://doi.org/10.1007/978-3-319-01568-2_33
Parra PAG, Ceberio M, Lee S, Castillo-Chavez C. Optimal control for a discrete time influenza model. In Advances in Intelligent Systems and Computing. Vol. 232. 2014. p. 231-237. (Advances in Intelligent Systems and Computing). https://doi.org/10.1007/978-3-319-01568-2_33
Parra, Paula Andrea Gonzalez ; Ceberio, Martine ; Lee, Sunmi ; Castillo-Chavez, Carlos. / Optimal control for a discrete time influenza model. Advances in Intelligent Systems and Computing. Vol. 232 2014. pp. 231-237 (Advances in Intelligent Systems and Computing).
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