GLOBAL BEHAVIOR OF AN AGE-STRUCTURED EPIDEMIC MODEL

被引：102
|
作者：
BUSENBERG, SN
IANNELLI, M
THIEME, HR
机构：
[1] UNIV TRENTO,DIPARTMENTO MATEMAT,I-38050 TRENT,ITALY
[2] ARIZONA STATE UNIV,DEPT MATH,TEMPE,AZ 85287
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1991年 / 22卷 / 04期
关键词：
EPIDEMIC MODEL; AGE STRUCTURE; SEMIGROUP; MONOTONE OPERATOR; GLOBAL BEHAVIOR;
D O I：
10.1137/0522069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The global behavior of the general s --> i --> s age-structured epidemic model in a population of constant size is obtained. It is shown that there is a sharp threshold which determines the existence and global stability of an endemic state; hence, periodic solutions are ruled out. The threshold is identified as the spectral radius of a positive linear operator. The analysis employs the theory of semigroups and positive operator methods, and is based on the formulation of the problem as an abstract differential equation in a Banach space.
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页码：1065 / 1080
页数：16
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