Global dynamics of an SEIR epidemic model with saturating contact rate

作者: Juan Zhang , Zhien Ma

DOI: 10.1016/S0025-5564(03)00087-7

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摘要: Heesterbeek and Metz [J. Math. Biol. 31 (1993) 529] derived an expression for the saturating contact rate of individual contacts in epidemiological model. In this paper, SEIR model with is studied. The basic reproduction number R0 proved to be a sharp threshold which completely determines global dynamics outcome disease. If 1, there exists unique endemic equilibrium globally stable disease persists at state if it initially exists. contribution level also analyzed.

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