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Moment closure and the stochastic logistic model
KTH, Superseded Departments, Mathematics.
2003 (English)In: Theoretical Population Biology, ISSN 0040-5809, E-ISSN 1096-0325, Vol. 63, no 2, 159-168 p.Article in journal (Refereed) Published
Abstract [en]

The quasi-stationary distribution of the stochastic logistic model is studied in the parameter region where its body is approximately normal. Improved asymptotic approximations of its first three cumulants are derived. It is shown that the same results can be derived with the aid of the moment closure method. This indicates that the moment closure method leads to expressions for the cumulants that are asymptotic approximations of the cumulants of the quasi-stationary distribution.

Place, publisher, year, edition, pages
2003. Vol. 63, no 2, 159-168 p.
Keyword [en]
quasi-stationary distribution, asymptotic approximation, demographic, stochasticity, moment closure
Identifiers
URN: urn:nbn:se:kth:diva-22326DOI: 10.1016/s0040-5809(02)00060-6ISI: 000181575000008OAI: oai:DiVA.org:kth-22326DiVA: diva2:341024
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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