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Optimal control of deterministic epidemics
Author(s) -
Behncke Horst
Publication year - 2000
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.678
Subject(s) - uniqueness , monotonic function , interval (graph theory) , quarantine , mathematical economics , control (management) , time horizon , optimal control , mathematics , mathematical optimization , operations research , computer science , econometrics , medicine , combinatorics , artificial intelligence , mathematical analysis , pathology
Abstract Various deterministic optimal control models for SIR‐epidemics are investigated in this paper. The epidemics are governed by a rather general interaction, which covers most cases studied in the literature. Vaccination, quarantine, screening or health promotion campaigns as forms of control are considered. In all cases one finds a maximum effort control on some initial time interval. In addition, uniqueness and monotonicity properties of these models are studied. The results are also extended to the infinite time‐horizon situation. Copyright © 2000 John Wiley & Sons, Ltd.