摘要
研究具有垂直传染及脉冲免疫接种的SIQR传染病模型,得到了疾病流行与否的阈值,利用脉冲微分方程的Floquet定理及比较定理证明了无病周期解的存在性及全局渐近稳定性,给出了系统一致持续的充分条件.
An SIQR epidemic model with vertical transmission and impulsive vaccination was considered and the threshold of the disease popularity was obtained. Using the Floquet theorem of impulsive differential equation and the comparison theorem, the existence and globally asymptotical stability of the disease-free periodic solution were proved and suffcient conditions under which the system is uniformly persistent were obtained.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第2期251-254,共4页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金项目(61070242)
辽宁省教育厅高等学校科学研究项目(L2012404)
关键词
脉冲微分方程
传染病模型
全局渐近稳定
一致持续
impulsive different equation
epidemic model
globally asymptotical stability
uniformly persistent
