FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2082327696> ?p ?o ?g. }

• W2082327696 abstract "We investigate the phenomenon of extinction of a long-lived self-regulating stochastic population, caused by intrinsic (demographic) noise. Extinction typically occurs via one of two scenarios depending on whether the absorbing state $n=0$ is a repelling (scenario A) or attracting (scenario B) point of the deterministic rate equation. In scenario A the metastable stochastic population resides in the vicinity of an attracting fixed point next to the repelling point $n=0$. In scenario B there is an intermediate repelling point $n={n}_{1}$ between the attracting point $n=0$ and another attracting point $n={n}_{2}$ in the vicinity of which the metastable population resides. The crux of the theory is a dissipative variant of WKB (Wentzel-Kramers-Brillouin) approximation which assumes that the typical population size in the metastable state is large. Starting from the master equation, we calculate the quasistationary probability distribution of the population sizes and the (exponentially long) mean time to extinction for each of the two scenarios. When necessary, the WKB approximation is complemented (i) by a recursive solution of the quasistationary master equation at small $n$ and (ii) by the van Kampen system-size expansion, valid near the fixed points of the deterministic rate equation. The theory yields both entropic barriers to extinction and pre-exponential factors, and holds for a general set of multistep processes when detailed balance is broken. The results simplify considerably for single-step processes and near the characteristic bifurcations of scenarios A and B." @default.
• W2082327696 created "2016-06-24" @default.
• W2082327696 creator A5036815084 @default.
• W2082327696 creator A5091165259 @default.
• W2082327696 date "2010-02-09" @default.
• W2082327696 modified "2023-10-02" @default.
• W2082327696 title "Extinction of metastable stochastic populations" @default.
• W2082327696 cites W1608691223 @default.
• W2082327696 cites W1967819709 @default.
• W2082327696 cites W1984247238 @default.
• W2082327696 cites W1990367895 @default.
• W2082327696 cites W1990828655 @default.
• W2082327696 cites W1992555105 @default.
• W2082327696 cites W2001993515 @default.
• W2082327696 cites W2009816916 @default.
• W2082327696 cites W2010916707 @default.
• W2082327696 cites W2024571871 @default.
• W2082327696 cites W2030367385 @default.
• W2082327696 cites W2031391358 @default.
• W2082327696 cites W2032231424 @default.
• W2082327696 cites W2036411255 @default.
• W2082327696 cites W2062762730 @default.
• W2082327696 cites W2075718102 @default.
• W2082327696 cites W2088282337 @default.
• W2082327696 cites W2136566931 @default.
• W2082327696 cites W2164002587 @default.
• W2082327696 cites W2169875139 @default.
• W2082327696 cites W2210525864 @default.
• W2082327696 cites W2323171160 @default.
• W2082327696 cites W4234011924 @default.
• W2082327696 cites W4237351959 @default.
• W2082327696 cites W4301008129 @default.
• W2082327696 doi "https://doi.org/10.1103/physreve.81.021116" @default.
• W2082327696 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/20365539" @default.
• W2082327696 hasPublicationYear "2010" @default.
• W2082327696 type Work @default.
• W2082327696 sameAs 2082327696 @default.
• W2082327696 citedByCount "164" @default.
• W2082327696 countsByYear W20823276962012 @default.
• W2082327696 countsByYear W20823276962013 @default.
• W2082327696 countsByYear W20823276962014 @default.
• W2082327696 countsByYear W20823276962015 @default.
• W2082327696 countsByYear W20823276962016 @default.
• W2082327696 countsByYear W20823276962017 @default.
• W2082327696 countsByYear W20823276962018 @default.
• W2082327696 countsByYear W20823276962019 @default.
• W2082327696 countsByYear W20823276962020 @default.
• W2082327696 countsByYear W20823276962021 @default.
• W2082327696 countsByYear W20823276962022 @default.
• W2082327696 countsByYear W20823276962023 @default.
• W2082327696 crossrefType "journal-article" @default.
• W2082327696 hasAuthorship W2082327696A5036815084 @default.
• W2082327696 hasAuthorship W2082327696A5091165259 @default.
• W2082327696 hasBestOaLocation W20823276962 @default.
• W2082327696 hasConcept C101991246 @default.
• W2082327696 hasConcept C120665830 @default.
• W2082327696 hasConcept C121332964 @default.
• W2082327696 hasConcept C121864883 @default.
• W2082327696 hasConcept C128805008 @default.
• W2082327696 hasConcept C134306372 @default.
• W2082327696 hasConcept C135694725 @default.
• W2082327696 hasConcept C144024400 @default.
• W2082327696 hasConcept C149923435 @default.
• W2082327696 hasConcept C151376022 @default.
• W2082327696 hasConcept C2908647359 @default.
• W2082327696 hasConcept C33923547 @default.
• W2082327696 hasConcept C61445026 @default.
• W2082327696 hasConcept C62520636 @default.
• W2082327696 hasConcept C84114770 @default.
• W2082327696 hasConcept C88030215 @default.
• W2082327696 hasConcept C89464430 @default.
• W2082327696 hasConcept C99692599 @default.
• W2082327696 hasConceptScore W2082327696C101991246 @default.
• W2082327696 hasConceptScore W2082327696C120665830 @default.
• W2082327696 hasConceptScore W2082327696C121332964 @default.
• W2082327696 hasConceptScore W2082327696C121864883 @default.
• W2082327696 hasConceptScore W2082327696C128805008 @default.
• W2082327696 hasConceptScore W2082327696C134306372 @default.
• W2082327696 hasConceptScore W2082327696C135694725 @default.
• W2082327696 hasConceptScore W2082327696C144024400 @default.
• W2082327696 hasConceptScore W2082327696C149923435 @default.
• W2082327696 hasConceptScore W2082327696C151376022 @default.
• W2082327696 hasConceptScore W2082327696C2908647359 @default.
• W2082327696 hasConceptScore W2082327696C33923547 @default.
• W2082327696 hasConceptScore W2082327696C61445026 @default.
• W2082327696 hasConceptScore W2082327696C62520636 @default.
• W2082327696 hasConceptScore W2082327696C84114770 @default.
• W2082327696 hasConceptScore W2082327696C88030215 @default.
• W2082327696 hasConceptScore W2082327696C89464430 @default.
• W2082327696 hasConceptScore W2082327696C99692599 @default.
• W2082327696 hasIssue "2" @default.
• W2082327696 hasLocation W20823276961 @default.
• W2082327696 hasLocation W20823276962 @default.
• W2082327696 hasLocation W20823276963 @default.
• W2082327696 hasOpenAccess W2082327696 @default.
• W2082327696 hasPrimaryLocation W20823276961 @default.
• W2082327696 hasRelatedWork W1823113944 @default.
• W2082327696 hasRelatedWork W2081650604 @default.
• W2082327696 hasRelatedWork W2082327696 @default.
• W2082327696 hasRelatedWork W2085694724 @default.

• next