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Epidemiological models with varying population size and dose-dependent latent period.

作者信息

Liu W M, van den Driessche P

机构信息

Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, USA.

出版信息

Math Biosci. 1995 Jul-Aug;128(1-2):57-69. doi: 10.1016/0025-5564(94)00067-a.

Abstract

Two epidemiological models in a variable-size population are considered. Both have a dose-dependent latent period that depends on the proportion of infectious individuals in the population. In the SEIS model, the proportion of infectious individuals tends to either zero or a stable endemic value. In the SEIRS model, for diseases that confer temporary immunity, periodicity can arise by a Hopf bifurcation.

摘要

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