期刊
THEORETICAL POPULATION BIOLOGY
卷 67, 期 3, 页码 203-216出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.tpb.2005.01.002
关键词
quasi-stationary distribution; time to extinction; asymptotic approximation; transition region; demographic stochasticity
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. (c) 2005 Elsevier Inc. All rights reserved.
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