title: A Survey on Two Viruses Extensions of Epidemic Model with Continuous and Impulse Control
metadata.name: dc.contributor.author
metadata.value: Gubar, Elena
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Taynitskiy, Vladislav
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-11-26T19:02:02Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-11-26T19:02:02Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-10
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Gubar E., Taynitskiy V. A Survey on Two Viruses Extensions of Epidemic Model with Continuous and Impulse Control. Contributions to Game Theory and Management, XIV, 127-154.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu31.2021.12
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/33694
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The current study represents a survey on several modifications of
  compartment epidemic models with continuous and impulse control policies.
  The main contribution of the survey is the modification of the classical Susceptible
  Infected Recovered (SIR) model with the assumption that two types
  of viruses are circulating in the population at the same time. Moreover, we
  also take into consideration the network structure of the initial population
  in two-virus SIIR models and estimate the e ectiveness of protection measures
  over complex networks. In each model, the optimal control problem
  has been formalized to minimize the costs of the virus spreading and find
  optimal continuous and impulse antivirus controllers. All theoretical results
  are corroborated by a large number of numerical simulations.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Contributions to Game Theory and Management;Volume 14
metadata.lang: -
metadata.name: dc.subject
metadata.value: epidemic process
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: compartment epidemic models
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: SIR model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimal control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: evolutionary games
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: virus mutation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: structured population
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: A Survey on Two Viruses Extensions of Epidemic Model with Continuous and Impulse Control
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 127-154.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/33694/1/127-154.pdf
resources.format: Adobe PDF
resources.size: 2,47 MB