Optimal control of influenza epidemic model with virus mutations

Gubar Elena, Quanyan Zhu

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

Abstract

Strains of influenza viruses spread in human populations during every season of epidemics. As the infected population size increases, the virus can mutate itself and grow in its strength. The traditional epidemic Susceptible-Infectious-Recovered model does not capture the mutations of viruses, and hence the model is not sufficient to study epidemics where the virus mutate at the same timescale as the epidemic process. In this work, we establish a novel framework to study the epidemic process with mutations of influenza viruses, which couples the Susceptible-Infectious-Recovered model with replicator dynamics used to describe virus mutations. We formulate an optimal control problem to study the optimal strategies for medical treatment and quarantine. We obtain structural results for the optimal strategies and use numerical examples to illustrate our results.

Original languageEnglish (US)
Title of host publication2013 European Control Conference, ECC 2013
Pages3125-3130
Number of pages6
StatePublished - 2013
Event2013 12th European Control Conference, ECC 2013 - Zurich, Switzerland
Duration: Jul 17 2013Jul 19 2013

Other

Other2013 12th European Control Conference, ECC 2013
CountrySwitzerland
CityZurich
Period7/17/137/19/13

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Viruses

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Elena, G., & Zhu, Q. (2013). Optimal control of influenza epidemic model with virus mutations. In 2013 European Control Conference, ECC 2013 (pp. 3125-3130). [6669732]

Optimal control of influenza epidemic model with virus mutations. / Elena, Gubar; Zhu, Quanyan.

2013 European Control Conference, ECC 2013. 2013. p. 3125-3130 6669732.

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

Elena, G & Zhu, Q 2013, Optimal control of influenza epidemic model with virus mutations. in 2013 European Control Conference, ECC 2013., 6669732, pp. 3125-3130, 2013 12th European Control Conference, ECC 2013, Zurich, Switzerland, 7/17/13.
Elena G, Zhu Q. Optimal control of influenza epidemic model with virus mutations. In 2013 European Control Conference, ECC 2013. 2013. p. 3125-3130. 6669732
Elena, Gubar ; Zhu, Quanyan. / Optimal control of influenza epidemic model with virus mutations. 2013 European Control Conference, ECC 2013. 2013. pp. 3125-3130
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