We present a modeling framework based on a structured SIR model where different vaccination strategies can be tested and compared. Vaccinations can be dosed at prescribed ages or at prescribed times to prescribed portions of the susceptible population. Different choices of these prescriptions lead to entirely different evolutions of the disease. Once suitable "costs" are introduced, it is natural to seek, correspondingly, the "best" vaccination strategies. Rigorous results ensure the Lipschitz continuous dependence of various reasonable costs on the control parameters, thus ensuring the existence of optimal controls and suggesting their search, for instance, by means of the steepest descent method.

Colombo, R., Garavello, M. (2020). Optimizing vaccination strategies in an age structured SIR model. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 17(2), 1074-1089 [10.3934/mbe.2020057].

Optimizing vaccination strategies in an age structured SIR model

Garavello, M
2020

Abstract

We present a modeling framework based on a structured SIR model where different vaccination strategies can be tested and compared. Vaccinations can be dosed at prescribed ages or at prescribed times to prescribed portions of the susceptible population. Different choices of these prescriptions lead to entirely different evolutions of the disease. Once suitable "costs" are introduced, it is natural to seek, correspondingly, the "best" vaccination strategies. Rigorous results ensure the Lipschitz continuous dependence of various reasonable costs on the control parameters, thus ensuring the existence of optimal controls and suggesting their search, for instance, by means of the steepest descent method.
Articolo in rivista - Articolo scientifico
Conservation Laws; Deterministic epidemics; Hyperbolic SIR model; Optimal control; Renewal equations
English
14-nov-2019
2020
17
2
1074
1089
none
Colombo, R., Garavello, M. (2020). Optimizing vaccination strategies in an age structured SIR model. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 17(2), 1074-1089 [10.3934/mbe.2020057].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/259130
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