title: Vector Epidemic Model of Malaria with Nonconstant-Size Population
metadata.name: dc.contributor.author
metadata.value: Ndiaye, Serigne Modou
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-05T16:01:52Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-05T16:01:52Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ndiaye, S. M. (2022). Vector Epidemic Model of Malaria with Nonconstant-Size Population. Contributions to Game Theory and Management, 15, 200-217.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu31.2022.15
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41432
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper presents the dynamic characteristics of a vector-host
  epidemic model with direct transmission. The malaria propagation model
  is defined by a system of ordinary differential equations. The host population
  is divided into four subpopulations: susceptible, exposed, infected and
  recovered, and the vector population is divided into three subpopulations:
  susceptible, exposed and infected. Using the theory of the Lyapunov functions,
  certain sufficient conditions for the global stability of the disease-free
  equilibrium and endemic equilibrium are obtained. The basic reproduction
  number that characterizes the evolution of the epidemic in the population
  was found. Finally, numerical simulations are carried out to study the influence
  of the key parameters on the spread of vector-borne disease.
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: malaria
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: mathematical modeling of epidemics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: mosquito population
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: subpopulations
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: Vector Epidemic Model of Malaria with Nonconstant-Size Population
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 15.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41432/1/15.pdf
resources.format: Adobe PDF
resources.size: 1,32 MB