摘要
主要研究了带有非线性发生率βI(1+vIk-1)S和脉冲免疫接种,对一个带垂直传染和潜伏周期的$SEIRS$时滞传染病模型进行动力分析.应用脉冲微分方程比较定理和分析的方法得到了无病周期解的全局吸引性和系统持久性的充分条件.
In this paper, we assume that the incidence rate is the nonlinear function of the form and the susceptible is vaccinated at the fixed moment. Therefore, an SEIRS epidemic disease model, which is de scribed by the impulsive differential equations, is established. Applying the comparison theorem in impulsive differential equation and the analytical method, the global attractiveness of the disease--free periodic solution is discussed, and sufficient condition is obtained for the permanence of the system.
出处
《广西民族大学学报（自然科学版）》
CAS
2014年第3期56-62,共7页
Journal of Guangxi Minzu University ：Natural Science Edition
关键词
垂直传染
脉冲接种
时滞
持久性
全局吸性
vertical transmission
impulsive vaccination
Time delay
Permanenc
eglobal attractivity
