摘要
根据乙肝疾病特点,将感染者分为急性感染者和慢性感染者两类,具有免疫力者分为病后恢复和因接种而具有免疫力两类.考虑脉冲接种和垂直传染的SEIRS传染病模型,应用脉冲微分方程的比较定理,研究了无病周期解的存在性和全局渐近稳定性以及传染病模型的持久性,并分析了控制传染病传播的主要因素.
A delayed SEIRS hepatitis model with pulse vaccination and vertical transmission is investigated. According to the characteristics of hepatitis B disease, infected persons are divided into acute infection and chronic infection. By the comparison theorem of impulsive differential equation, the existence of the disease-free periodic solution and globally asymptotic stability are discussed. Sufficient condition is obtained for the permanence of the system. The thresholds are obtained and main factors to control the spread of infectious disease are discussed.
出处
《复旦学报（自然科学版）》
CAS
CSCD
北大核心
2015年第3期308-312,326,共6页
Journal of Fudan University：Natural Science
基金
齐齐哈尔医学院青年基金项目(QY2013-02)
关键词
时滞
脉冲接种
垂直传染
乙肝
持久性
time-delay
pulse vaccination, vertical transmission, hepatitis
persistence
