A new look at the critical community size for childhood infections
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
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.
quasi-stationary distribution, time to extinction, asymptotic, approximation, transition region, demographic stochasticity, quasi-stationarity, recurrent epidemics, extinction, diseases, measles, models, time, variability, periodicity, populations
IdentifiersURN: urn:nbn:se:kth:diva-14682DOI: 10.1016/j.tpb.2005.01.002ISI: 000228417600005ScopusID: 2-s2.0-16244363078OAI: oai:DiVA.org:kth-14682DiVA: diva2:332723
QC 201005252010-08-052010-08-05Bibliographically approved