Basic Reproduction Ratios for Periodic Compartmental Models with Time Delay

被引：165
作者：
Zhao, Xiao-Qiang [1 ]
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2017年 / 29卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Compartmental models; Time delay; Periodicity; Reproduction ratio; Threshold dynamics; VECTOR-BORNE DISEASES; THRESHOLD DYNAMICS; EPIDEMIC MODELS; COMPUTATION; STABILITY; OPERATORS; NUMBERS;
D O I：
10.1007/s10884-015-9425-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the theory of basic reproduction ratio for a large class of time-delayed compartmental population models in a periodic environment. It is proved that serves as a threshold value for the stability of the zero solution of the associated periodic linear systems. As an illustrative example, we also apply the developed theory to a periodic SEIR model with an incubation period and obtain a threshold result on its global dynamics in terms of R-0.
引用
收藏
页码：67 / 82
页数：16
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