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A new look at the critical community size for childhood infections
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2005 (English)In: Theoretical Population Biology, ISSN 0040-5809, E-ISSN 1096-0325, Vol. 67, no 3, 203-216 p.Article in journal (Refereed) Published
Abstract [en]

Quasi-stationarity and time to extinction are studied for the classic endemic model. Attention is restricted to the transition region in parameter space where the quasi-stationary distribution is non-normal. A new approximation of the marginal distribution of infected individuals in quasi-stationarity is presented. It leads to a simple explicit expression for an approximation of the critical community size in terms of model parameters.

Place, publisher, year, edition, pages
2005. Vol. 67, no 3, 203-216 p.
Keyword [en]
quasi-stationary distribution, time to extinction, asymptotic, approximation, transition region, demographic stochasticity, quasi-stationarity, recurrent epidemics, extinction, diseases, measles, models, time, variability, periodicity, populations
Identifiers
URN: urn:nbn:se:kth:diva-14682DOI: 10.1016/j.tpb.2005.01.002ISI: 000228417600005Scopus ID: 2-s2.0-16244363078OAI: oai:DiVA.org:kth-14682DiVA: diva2:332723
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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