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

doi:10.3934/mbe.2011.8.183

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 journal › Article › peer-review

17 Scopus citations

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 language	English (US)
Pages (from-to)	183-197
Number of pages	15
Journal	Mathematical Biosciences and Engineering
Volume	8
Issue number	1
DOIs	https://doi.org/10.3934/mbe.2011.8.183
State	Published - Jan 2011

Keywords

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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10.3934/mbe.2011.8.183

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AB - 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.

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

Abstract

Keywords

ASJC Scopus subject areas

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