具有脉冲接种和分布时滞的SVEIR传染病模型  

SVEIR epidemic model with pulse vaccination and distributed time delay

作　　者：黄灿云[1] 樊海霞[1] 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》2013年第5期130-134,共5页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(1107RJZA164)

摘　　要：研究具有脉冲预防接种和分布时滞的SVEIR传染病模型的动力学行为,利用脉冲微分方程比较原理等得到无病周期解的全局吸引性和疾病持久的充分条件.结果表明,选择适当的脉冲接种周期、较大的脉冲接种率或者较大的脉冲接种后获得免疫率将会导致传染病的灭绝.The dynamics behaviors of an SVEIR epidemic model with pulse vaccination and distributed time delay were investigated. According to the comparison principle of impulsive differential equations, the sufficient conditions for global attractivity of infection-free periodic solution and permanence of the model were obtained. The obtained results showed that the infective disease would be eradicated if suitable impulsive period, larger vaccination rate and larger rate of obtained immunity were chosen.

关 键 词：脉冲接种 分布时滞 全局吸引性 持久性 

分 类 号：O175.29[理学—数学]