title: A note on the use of optimal control on a discrete time model of influenza dynamics.
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.
authors.affiliation: Program in Computational Science, The University of Texas at El Paso, El Paso, TX 79968-0514, USA. paulag817@gmail.com
authors.forename: Paula A
authors.initials: PA
authors.lastname: González-Parra
authors.forename: Sunmi
authors.initials: S
authors.lastname: Lee
authors.forename: Leticia
authors.initials: L
authors.lastname: Velázquez
authors.forename: Carlos
authors.initials: C
authors.lastname: Castillo-Chavez
mesh_terms: D000998:Antiviral Agents / Q000627:therapeutic use; D050936:Basic Reproduction Number; D003198:Computer Simulation; D004196:Disease Outbreaks / Q000517:prevention & control*; D006801:Humans; D007251:Influenza, Human / Q000188:drug therapy / Q000276:immunology / Q000517:prevention & control* / Q000821:virology; D018448:Models, Immunological; D015233:Models, Statistical; D009975:Orthomyxoviridae / Q000276:immunology*; D011790:Quarantine
chemical_list: D000998:Antiviral Agents