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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| Format: | Article |
| Language: | English |
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AIMS Press
2010-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.183 |
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| author | Paula A. González-Parra Sunmi Lee Leticia Velázquez Carlos Castillo-Chavez |
| author_facet | Paula A. González-Parra Sunmi Lee Leticia Velázquez Carlos Castillo-Chavez |
| author_sort | Paula A. González-Parra |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-cff76bd0791f43fca5de0590d16a3c8f |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2010-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-cff76bd0791f43fca5de0590d16a3c8f2025-01-24T02:01:20ZengAIMS PressMathematical Biosciences and Engineering1551-00182010-12-018118319710.3934/mbe.2011.8.183A note on the use of optimal control on a discrete time model of influenza dynamicsPaula A. González-Parra0Sunmi Lee1Leticia Velázquez2Carlos Castillo-Chavez3Program in Computational Science, The University of Texas at El Paso, El Paso, TX 79968-0514Program in Computational Science, The University of Texas at El Paso, El Paso, TX 79968-0514Program in Computational Science, The University of Texas at El Paso, El Paso, TX 79968-0514Program in Computational Science, The University of Texas at El Paso, El Paso, TX 79968-0514A 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.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.183antiviral treatment.influenzaoptimal controlsocial distancing |
| spellingShingle | Paula A. González-Parra Sunmi Lee Leticia Velázquez Carlos Castillo-Chavez A note on the use of optimal control on a discrete time model of influenza dynamics Mathematical Biosciences and Engineering antiviral treatment. influenza optimal control social distancing |
| title | A note on the use of optimal control on a discrete time model of influenza dynamics |
| title_full | A note on the use of optimal control on a discrete time model of influenza dynamics |
| title_fullStr | A note on the use of optimal control on a discrete time model of influenza dynamics |
| title_full_unstemmed | A note on the use of optimal control on a discrete time model of influenza dynamics |
| title_short | A note on the use of optimal control on a discrete time model of influenza dynamics |
| title_sort | note on the use of optimal control on a discrete time model of influenza dynamics |
| topic | antiviral treatment. influenza optimal control social distancing |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.183 |
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