Optimal control of deterministic epidemics | Zendy

Behncke Horst | Zendy

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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

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.

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