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

被引：5
|
作者：
Rhodes, Christopher A. [1 ]
House, Thomas [1 ]
机构：
[1] Univ Warwick, Warwick Math Inst, Coventry CV4 7AL, W Midlands, England
来源：
THEORETICAL POPULATION BIOLOGY | 2013年 / 85卷
基金：
英国工程与自然科学研究理事会;
关键词：
SIR; Dynamical system; MIXING PATTERNS;
D O I：
10.1016/j.tpb.2013.02.003
中图分类号：
Q14 [生态学（生物生态学）];
学科分类号：
071012 ; 0713 ;
摘要：
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. (c) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：58 / 62
页数：5
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