title: AN EPIDEMIC MODEL OF MALARIA WITHOUT AND WITH VACCINATION. PT 1. A MODEL OF MALARIA WITHOUT VACCINATION
metadata.name: dc.contributor.author
metadata.value: NDIAYE, SERINE MODOU
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: PARILINA, ELENA M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-08-17T20:48:20Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-08-17T20:48:20Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: NDIAYE S. M., PARILINA E. M. AN EPIDEMIC MODEL OF MALARIA WITHOUT AND WITH VACCINATION. PT 1. A MODEL OF MALARIA WITHOUT VACCINATION. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2022, vol. 18, iss. 2, pp. 263–277.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: DOI: 10.21638/11701/spbu10.2022.207
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/37411
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We propose a mathematical model of the malaria epidemic in the human population (host), where the transmission of the disease is produced by a vector population (mosquito) known as the malaria mosquito. The malaria epidemic model is defined by a system of ordinary differential equations. The host population at any time is divided into four sub-populations: susceptible, exposed, infectious, recovered. Sufficient conditions for stability of equilibrium without disease and endemic equilibrium are obtained using the Lyapunov’s function theory. We define the reproductive number characterizing the level of disease spreading in the human population. Numerical modeling is made to study the influence of parameters on the spread of vector-borne disease and to illustrate theoretical results, as well as to analyze possible behavioral scenarios.
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 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: EPIDEMIC MODEL
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: HUMAN POPULATION
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: MALARIA
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: SUB-POPULATIONS
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: MODIFICATION EPIDEMIC SEIR
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: MODEL
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: REPRODUCTIVE NUMBER
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 1. A MODEL OF MALARIA WITHOUT VACCINATION
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 263-277.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/37411/1/263-277.pdf
resources.format: Adobe PDF
resources.size: 425,26 kB