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

Paula A González-Parra | Zendy; Sunmi ‍Lee | Zendy; Leticia Velázquez | Zendy; Carlos CastilloChávez | Zendy

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

Author(s) -

Paula A González-Parra,

Sunmi ‍Lee,

Leticia Velázquez,

Carlos CastilloChávez

Publication year - 2011

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2011.8.183

Subject(s) - pontryagin's minimum principle , context (archaeology) , optimal control , discrete time and continuous time , mathematics , transmission (telecommunications) , outbreak , reduction (mathematics) , epidemic model , control (management) , mathematical optimization , computer science , medicine , virology , statistics , biology , environmental health , artificial intelligence , population , paleontology , telecommunications , geometry

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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