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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. 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 the number of infected and dead individuals, 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.
 
Article Number:
MTBI-07-07M

Year:
2010

Authors:
Paula A. González-Parra, The University of Texas at El Paso
Sunmi Lee, Arizona State University
Leticia Velazquez, The University of Texas at El Paso
Carlos Castillo-Chávez, Arizona State University

a_note_on_the_use_of_optimal_control_on_a_discrete_time_model_of_influenza_dynamics_.pdf