摘要
文章研究了具有时滞和非连续治愈的脉冲SEIR传染病模型,运用脉冲微分方程的比较定理,得到系统无病周期解的全局吸引性和全局渐进稳定性条件,通过计算得到了疾病消亡与否的阈值R*和R*当R*<1时疾病会消亡;当R*>1时疾病持久存在,最终会形成地方性疾病。
An impulsive SEIR epidemic model with time delay and discontinuous treatment was formulated and studied.Based on comparison theorem of impulsive differential equation, the research proves that the global attractive and the globally asymptotically stable of the disease free periodic solution. The threshold R*and R*for disease to be extinct or not is calculated.If R*< 1, the disease is extinct; If R*> 1, the disease is permanence. Eventually, there will be endemic.
出处
《阜阳师范学院学报（自然科学版）》
2017年第4期1-6,共6页
Journal of Fuyang Normal University(Natural Science)
基金
吉安职业技术学院科研项目(16JY137)资助
关键词
传染病
时滞
脉冲接种
持久性
epidemic
time delay
pulse vaccination
permanence
