一类具有脉冲接种和垂直传染的时滞SEIRS传染病模型  

A class of time-delay SEIRS epidemic model with pulse vaccination and vertical transmission

作　　者：黄灿云[1] 史维选 惠富春[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2016年第3期155-161,共7页Journal of Lanzhou University of Technology

摘　　要：研究具有垂直传染和非线性发生率的时滞SEIRS传染病模型的脉冲控制问题,利用比较原理获得系统无病周期解全局吸引和疾病持续存在的充分条件,通过数值模拟进一步说明所得理论结果的可靠性.Impulsive control of a time-delay SEIRS epidemic model with vertical transmission and nonlinear incidence is investigated.By using comparison principle,the sufficient conditions of global attractivity of disease-free periodic solution and disease permanence are obtained.By means of numerical simulation,the reliability of the theoretical result obtained is further illustrated.

关 键 词：脉冲接种 垂直传染 非线性发生率 全局吸引 持久性 

分 类 号：O175[理学—数学]