Threshold dynamics for compartmental epidemic models with impulses

被引：41
|
作者：
Yang, Youping [1 ]
Xiao, Yanni [1 ]
机构：
[1] Xi An Jiao Tong Univ, Dept Appl Math, Xian 710049, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 01期
关键词：
Basic reproductive number; Impulses; CTL Immune response; IMMUNE-RESPONSES; PERSISTENT VIRUSES; HIV-1; INFECTION; INTERRUPTIONS; VACCINATION; STRATEGY; MEASLES;
D O I：
10.1016/j.nonrwa.2011.07.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The basic reproductive number and its calculation for general impulsive compartmental epidemic models, with pulses on both the infected and the uninfected compartments, are established. Theoretical results show that the basic reproductive number serves as a threshold parameter: the disease dies out if the basic reproductive number is smaller than unity, and breaks out if it is larger than unity. The global dynamics of a viral dynamical model with impulsive immune response is analyzed to study how the vaccination strength and the vaccination interval affect the basic reproductive number and virus progression. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：224 / 234
页数：11
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