title: An epidemic model of malaria without and with vaccination. Pt 2. A model of malaria with vaccination
metadata.name: dc.contributor.author
metadata.value: Ndiaye, Serigne M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Parilina, Elena M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-03-14T16:19:08Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-03-14T16:19:08Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ndiaye, S. M., & Parilina, E. M. (2023). An epidemic model of malaria without and with vaccination. Pt 2. A model of malaria with vaccination. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 18(4), 555-567.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2022.410
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/39313
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article proposes a mathematical model of a malaria epidemic with vaccination in a population of people (hosts), where the disease is transmitted by a mosquito (carrier). The malaria transmission model is defined by a system of ordinary differential equations, which takes into account the level of vaccination in the population. The host population at any given time is divided into four subgroups: susceptible, vector-bitten, infected, and recovered. Sufficient conditions for the stability of a disease-free equilibrium and endemic equilibrium are obtained using the theory of Lyapunov functions. Numerical modeling represents the influence of parameters (including the vaccination level of the population) on the disease spread.
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: epidemic model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: malaria
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: vaccination
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: SEIR model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: endemic equilibrium
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: An epidemic model of malaria without and with vaccination. Pt 2. A model of malaria with vaccination
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 15532-Текст статьи-52271-1-10-20230308.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/39313/1/15532-%d0%a2%d0%b5%d0%ba%d1%81%d1%82%20%d1%81%d1%82%d0%b0%d1%82%d1%8c%d0%b8-52271-1-10-20230308.pdf
resources.format: Adobe PDF
resources.size: 522,73 kB