Artikel
Optimal control of heterogeneous mutating viruses
Different strains of influenza viruses spread in human populations during every epidemic season. As the size of an infected population increases, the virus can mutate itself and grow in strength. The traditional epidemic SIR model does not capture virus mutations and, hence, the model is not sufficient to study epidemics where the virus mutates at the same time as it spreads. In this work, we establish a novel framework to study the epidemic process with mutations of influenza viruses, which couples the SIR model with replicator dynamics used for describing virus mutations. We formulated an optimal control problem to study the optimal strategies for medical treatment and quarantine decisions. We obtained structural results for the optimal strategies and used numerical examples to corroborate our results.
- Language
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Englisch
- Bibliographic citation
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Journal: Games ; ISSN: 2073-4336 ; Volume: 9 ; Year: 2018 ; Issue: 4 ; Pages: 1-18 ; Basel: MDPI
- Classification
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Wirtschaft
- Subject
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epidemic process
SIR model
optimal control
evolutionary games
virus mutation
- Event
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Geistige Schöpfung
- (who)
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Gubar, Elena
Taynitskiy, Vladislav
Zhu, Quanyan
- Event
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Veröffentlichung
- (who)
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MDPI
- (where)
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Basel
- (when)
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2018
- DOI
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doi:10.3390/g9040103
- Handle
- Last update
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10.03.2025, 11:44 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Artikel
Associated
- Gubar, Elena
- Taynitskiy, Vladislav
- Zhu, Quanyan
- MDPI
Time of origin
- 2018
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