A note on the use of optimal control on a discrete time model of influenza dynamics
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 contr...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2010-12-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.183 |
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| Summary: | 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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| ISSN: | 1551-0018 |