一类对染病者实施连续接种和脉冲接种的时滞SIR传染病模型的比较  

The effect of constant and pulse vaccination on a delayed SIR epidemic model

作　　者：王桂臻[1] 李必文[1] 宣天赐[1] 吴雪莹[1] 

机构地区：[1]湖北师范学院数学与统计学院,湖北黄石435002

出　　处：《湖北师范学院学报（自然科学版）》2013年第1期69-73,共5页Journal of Hubei Normal University(Natural Science)

摘　　要：考虑了时滞方程的两类接种策略.连续接种的系统中,研究了无病平衡点的局部渐近稳定性和地方病平衡点的全局渐近稳定性;脉冲作用下的传染病模型,利用脉冲比较定理和微分不等式得到了无病周期解的全局吸引性的条件,最后对两类接种进行了比较并得出结论.In this paper,two vaccination strategies about delayed equations were studied.In the model with continuous vaccination,the local stability of a diseasr-free equilibrium and the global stability of a endemic equilibrium were studied.A pulse under the action of infectious disease model was considered,using the comparison principle and pulse differential inequality,the global attractivity of infection-free period solution and the sufficient conditions for permanence of the disease were obtained.Finally,the two vaccination strategies were compared and relevant conclusions were obtained.

关 键 词：接种 脉冲微分方程 稳定性 持久性 基本再生数 

分 类 号：O651[理学—分析化学]