Basic reproduction ratios for periodic and time-delayed compartmental models with impulses
Basic reproduction ratios for periodic and time-delayed compartmental models with impulses
复制标题
DOI：
10.1007/s00285-019-01452-2
复制
发表时间：
2019-11
影响因子：
1.9
通讯作者：
Zhenguo Bai;Xiao-Qiang Zhao
中科院分区：
文献类型：
--
作者：
Zhenguo Bai;Xiao-Qiang Zhao
Much work has focused on the basic reproduction ratiofor a variety of compartmental population models, but the theory ofremains unsolved for periodic and time-delayed impulsive models. In this paper, we develop the theory offor a class of such impulsive models. We first introduceand show that it is a threshold parameter for the stability of the zero solution of an associated linear system. Then we apply this theory to a time-delayed computer virus model with impulse treatment and obtain a threshold result on its global dynamics in terms of. Numerically, it is found that the basic reproduction ratio of the time-averaged delayed impulsive system may overestimate the spread risk of the virus.
