A note on the use of optimal control on a discrete time model of influenza dynamics
Paula A. González-Parra - Program in Computational Science, The University of Texas at El Paso, El Paso, TX 79968-0514, United States (email)
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.
Keywords: Influenza, optimal control, social distancing,
Received: June 2010; Accepted: September 2010; Available Online: January 2011.
2015 5-year IF1.087