https://www.mdu.se/

mdu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Nonlinearly perturbed birth-death-type models
Stockholm University, Sweden. (MAM)ORCID iD: 0000-0002-2626-5598
Stockholm University, Sweden.
Stockholm University, Sweden.
2018 (English)In: Stochastic Processes and Applications: SPAS2017, Västerås and Stockholm, Sweden, October 4–6, 2017 / [ed] Silvestrov, S., Rancic, M., Malyarenko, A., Springer , 2018, p. 189-244Chapter in book (Refereed)
Abstract [en]

Asymptotic expansions are presented for stationary and conditional quasi-stationary distributions of nonlinearly perturbed birth-death-type semi-Markov models, as well as algorithms for computing the coefficients of these expansions. Three types of applications are discussed in detail. The first is a model of population growth, where either an isolated population is perturbed by immigration, or a sink population with immigration is perturbed by internal births. The second application is epidemic spread of disease, in which a closed population is perturbed by infected individuals from outside. The third model captures the time dynamics of the genetic composition of a population with genetic drift and selection, that is perturbed by various mutation scenarios.

Place, publisher, year, edition, pages
Springer , 2018. p. 189-244
Series
Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 ; 271
Keywords [en]
Semi-Markov birth-death process, Quasi-stationary distribution, Nonlinear perturbation, Population dynamics model, Population genetics model, Epidemic model
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-52876DOI: 10.1007/978-3-030-02825-1_11ISI: 000674508200010Scopus ID: 2-s2.0-85058554419ISBN: 978-3-030-02824-4 (print)ISBN: 978-3-030-02825-1 (electronic)OAI: oai:DiVA.org:mdh-52876DiVA, id: diva2:1511753
Available from: 2020-12-21 Created: 2020-12-21 Last updated: 2021-11-03Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Silvestrov, Dmitrii
Probability Theory and Statistics

Search outside of DiVA

GoogleGoogle Scholar

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 12 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf