The rate of convergence to early asymptotic behaviour in age-structured epidemic models.

Christopher A Rhodes; Thomas House

doi:10.1016/j.tpb.2013.02.003

The rate of convergence to early asymptotic behaviour in age-structured epidemic models.

Christopher A Rhodes, Thomas House

Research output: Contribution to journal › Article › peer-review

Abstract

Age structure is incorporated in many types of epidemic models. Often it is convenient to assume that such models converge to early asymptotic behaviour quickly, before the susceptible population has been appreciably depleted. We make use of dynamical systems theory to show that for some reasonable parameter values, this convergence can be slow. Such a possibility should therefore be considered when parametrising age-structured epidemic models.

Original language	English
Journal	Theoretical Population Biology
Volume	85
DOIs	https://doi.org/10.1016/j.tpb.2013.02.003
Publication status	Published - May 2013

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title = "The rate of convergence to early asymptotic behaviour in age-structured epidemic models.",

abstract = "Age structure is incorporated in many types of epidemic models. Often it is convenient to assume that such models converge to early asymptotic behaviour quickly, before the susceptible population has been appreciably depleted. We make use of dynamical systems theory to show that for some reasonable parameter values, this convergence can be slow. Such a possibility should therefore be considered when parametrising age-structured epidemic models.",

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AU - House, Thomas

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AB - Age structure is incorporated in many types of epidemic models. Often it is convenient to assume that such models converge to early asymptotic behaviour quickly, before the susceptible population has been appreciably depleted. We make use of dynamical systems theory to show that for some reasonable parameter values, this convergence can be slow. Such a possibility should therefore be considered when parametrising age-structured epidemic models.

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SN - 1096-0325

VL - 85

JO - Theoretical Population Biology

JF - Theoretical Population Biology

ER -

The rate of convergence to early asymptotic behaviour in age-structured epidemic models.

Abstract

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