Geodesic
Optimal control of the spread of an infectious disease with allowance for an incubation period
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 7, pp. 1174-1180 
E. Andreeva; N. A. Semykina. Optimal control of the spread of an infectious disease with allowance for an incubation period. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 7, pp. 1174-1180. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_7_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The optimal control of an epidemic disease in n social groups with allowance for an incubation period is considered. The control is implemented through vaccination and quarantine. Models described by integro-differential and delay differential equations are compared. The dependence of an optimal solution on the parameters of the problem is analyzed.

[1] Andreeva E. A., Optimalnoe upravlenie dinamicheskimi sistemami, TvGU, Tver, 1999

[2] Behncke H., “The control of deterministic epidemics”, Math. Appl. Sci., 3 (1993), 298–311