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GLOBAL ANALYSIS OF AN SEIR EPIDEMIC DISEASE MODEL WITH VERTICAL TRANSMISSION AND PULSE VACCINATION
一类具有垂直传染与脉冲免疫的SEIR传染病模型的全局分析

Keywords: Vertical transmission,pulse vaccination,permanence,integral delays,global attractivity
垂直传染
,脉冲免疫,持久性,积分时滞,全局吸引性.

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Abstract:

In this paper, an SEIR epidemic disease model with integral delay and vertical transmission is considered, and dynamics behaviors of the model under pulsevaccination are analyzed. The sufficient condition for infection-extinction is obtained. Then, by using the theory on delay functional and impulsive differential equation theory, the sufficient condition of the permanence for the system with time delay is given. Finally, it is shown that time delays and pulse vaccination can bring obvious effects on the dynamics behaviors of the model.

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