摘要
研究一类具有脉冲预防接种和时滞的乙肝模型,考虑了疾病的垂直传染,获得了再生数R_1,R_2,证明了R_1<1时,系统存在无病周期解,且是全局渐近稳定的,当R2>1时,系统的疾病将持续并发展为地方病.
A HBV epidemic model with pulse vaccination and delay is researched,the vertical transmission of disease is considered aslo.The reproductive numbers R_1 and R_2 are defined.We point out,if R_1 < 1,the infection-free periodic solution of system is global asymptotic stable,while if R_2 > 1,the infectious persist.
出处
《应用泛函分析学报》
CSCD
2013年第1期66-71,共6页
Acta Analysis Functionalis Applicata
基金
河南省科学和技术工程项目(102300410022
092300410185)
关键词
脉冲接种
垂直传染
时滞
无病周期解
持久性
pulse vaccination
vertical transmission
delay
global attractive
persistence
