TY - GEN
T1 - Optimal control for a discrete time influenza model
AU - Parra, Paula Andrea Gonzalez
AU - Ceberio, Martine
AU - Lee, Sunmi
AU - Castillo-Chavez, Carlos
PY - 2014
Y1 - 2014
N2 - We formulated a discrete time model in order to study optimal control strategies for a single influenza outbreak. In our model, we divided the population into four classes: susceptible, infectious, treated, and recovered individuals. The total population was divided into subgroups according to activity or susceptibility levels. The goal was to determine how treatment doses should be distributed in each group in order to reduce the final epidemic size. The case of limited resources is considered by including an isoperimetric constraint. We found that the use of antiviral treatment resulted in reductions in the cumulative number of infected individuals. We proposed to solve the problem by using the primal-dual interior-point method that enforces epidemiological constraints explicitly.
AB - We formulated a discrete time model in order to study optimal control strategies for a single influenza outbreak. In our model, we divided the population into four classes: susceptible, infectious, treated, and recovered individuals. The total population was divided into subgroups according to activity or susceptibility levels. The goal was to determine how treatment doses should be distributed in each group in order to reduce the final epidemic size. The case of limited resources is considered by including an isoperimetric constraint. We found that the use of antiviral treatment resulted in reductions in the cumulative number of infected individuals. We proposed to solve the problem by using the primal-dual interior-point method that enforces epidemiological constraints explicitly.
KW - Epidemiology
KW - Influenza
KW - Interior-Point methods
KW - Optimal Control
UR - http://www.scopus.com/inward/record.url?scp=84894867855&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84894867855&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-01568-2_33
DO - 10.1007/978-3-319-01568-2_33
M3 - Conference contribution
AN - SCOPUS:84894867855
SN - 9783319015675
T3 - Advances in Intelligent Systems and Computing
SP - 231
EP - 237
BT - Advances in Computational Biology - Proceedings of the 2nd Colombian Congress on Computational Biology and Bioinformatics CCBCOL 2013
PB - Springer Verlag
T2 - 2nd Colombian Congress on Computational Biology and Bioinformatics, CCBCOL 2013
Y2 - 25 September 2013 through 27 September 2013
ER -