caa a22 4500 445330317 CHVBK 20180317142735.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00285-010-0341-0 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0341-0 Optimal control of epidemics with limited resources [Elektronische Daten] [Elsa Hansen, Troy Day] We extend the existing work on the time-optimal control of the basic SIR epidemic model with mass action contact rate. Previous results have focused on minimizing an objective function that is a linear combination of the cost associated with using control and either the outbreak size or the infectious burden. We instead, provide analytic solutions for the control that minimizes the outbreak size (or infectious burden) under the assumption that there are limited control resources. We provide optimal control policies for an isolation only model, a vaccination only model and a combined isolation-vaccination model (or mixed model). The optimal policies described here contain many interesting features especially when compared to previous analyses. For example, under certain circumstances the optimal isolation only policy is not unique. Furthermore the optimal mixed policy is not simply a combination of the optimal isolation only policy and the optimal vaccination only policy. The results presented here also highlight a number of areas that warrant further study and emphasize that time-optimal control of the basic SIR model is still not fully understood. The Author(s), 2010 Time-optimal control nationallicence SIR model nationallicence Limited resources nationallicence Vaccination nationallicence Isolation nationallicence Hansen Elsa Department of Mathematics and Statistics, Queen's University, Jeffery Hall, K7L 3N6, Kingston, ON, Canada aut Day Troy Department of Mathematics and Statistics, Queen's University, Jeffery Hall, K7L 3N6, Kingston, ON, Canada aut Journal of Mathematical Biology Springer-Verlag 62/3(2011-03-01), 423-451 0303-6812 62:3<423 2011 62 285 https://doi.org/10.1007/s00285-010-0341-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0341-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hansen Elsa Department of Mathematics and Statistics, Queen's University, Jeffery Hall, K7L 3N6, Kingston, ON, Canada aut NATIONALLICENCE 700 1- Day Troy Department of Mathematics and Statistics, Queen's University, Jeffery Hall, K7L 3N6, Kingston, ON, Canada aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 62/3(2011-03-01), 423-451 0303-6812 62:3<423 2011 62 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer