title: Mathematical model "consumer-resource" on a liner range and its application for modeling the spread of late blight of potato
metadata.name: dc.contributor.author
metadata.value: Gasratova, Natalya A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-03-14T14:47:18Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-03-14T14:47:18Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Gasratova, N. A. (2023). Mathematical model "consumer-resource" on a liner range and its application for modeling the spread of late blight of potato. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 18(4), 548-554.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2022.409
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/39312
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A model of consumer distribution on a fixed resource, which is uniformly distributed through a linear area, is presented. The model is based on the Cauchy problem for a system of partial differential equations. The stability of the system is studied. The physical basis of the model is the spread of late blight over the territory of a trophic resource. A qualitative picture of the process under consideration coincides with field data obtained as a result of modeling. The model describes "consumer" development not even at the moment, but through linear range. Thus assesment of damaged field square is possible.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
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: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 18; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: mathematical model of late blight development
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: late blight
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: mathematical model of phytopathology
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: linear range
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Mathematical model "consumer-resource" on a liner range and its application for modeling the spread of late blight of potato
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 15531-Текст статьи-52268-1-10-20230308.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/39312/1/15531-%d0%a2%d0%b5%d0%ba%d1%81%d1%82%20%d1%81%d1%82%d0%b0%d1%82%d1%8c%d0%b8-52268-1-10-20230308.pdf
resources.format: Adobe PDF
resources.size: 437,07 kB