title: Optimal Control in the Network Model of Bi-virus Propagation
metadata.name: dc.contributor.author
metadata.value: Xiuxiu, Liu
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Gubar, Elena
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-05T16:20:54Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-05T16:20:54Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Xiuxiu , L., & Gubar, E. (2023). Optimal Control in the Network Model of Bi-virus Propagation. Contributions to Game Theory and Management, 15, 265-286.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu31.2022.20
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41437
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This thesis is devoted to the spread of virus in human society.
  First, we modified the original basic epidemiological model, and divide the
  system into M different types. The optimal control problem is formulated
  for the changes of compartments in different states. The total cost is then
  minimized, the Pontryagin maximum principle is used to solve this nonlinear
  optimal control problem. Next, we prove that the optimal policy has the
  simple structure. Finally, we fit the propagation process of this model using
  Matlab. Consider the situation where there are only two types of virus in
  the system, and compare the two types of virus appear at the same time
  and at different times.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the China National Scholarship for Study Abroad.
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 15
metadata.lang: -
metadata.name: dc.subject
metadata.value: optimal control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: virus propagation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: epidemic model
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Optimal Control in the Network Model of Bi-virus Propagation
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 20.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41437/1/20.pdf
resources.format: Adobe PDF
resources.size: 3,6 MB