Dynamics of influenza A drift: the linear three-strain model

被引：81

作者：

Lin, J ^{[1
]}

Andreasen, V

Levin, SA

机构：

[1] Washington Coll, Dept Phys, Chestertown, MD 21620 USA

[2] Roskilde Univ, Dept Math & Phys, DK-4000 Roskilde, Denmark

[3] Princeton Univ, Dept Ecol & Evolutionary Biol, Princeton, NJ 08544 USA

来源：

MATHEMATICAL BIOSCIENCES | 1999年 / 162卷 / 1-2期

关键词：

influenza drift; multiple strains; cross-immunity;

D O I：

10.1016/S0025-5564(99)00042-5

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We analyte an epidemiological model consisting of a linear chain of three cocirculating influenza A strains that provide hosts exposed to a given strain with partial immune cross-protection against other strains. In the extreme case where infection with the middle strain prevents further infections from the other two strains, we reduce the model to a six-dimensional kernel capable of showing self-sustaining oscillations at relatively high levels of cross-protection. Dimensional reduction has been accomplished by a transformation of variables that preserves the eigenvalue responsible for the transition from damped oscillations to limit cycle solutions. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：33 / 51

页数：19