一类具有免疫丧失时滞和垂直传染的传染病模型(英文)  

An Infectious Disease Model with a Time Delay in Loss of Vaccine Immunity and Vertical Transmission

作　　者：郭丽娜[1] 裴永珍[1] 刘元[2] 

机构地区：[1]天津工业大学理学院,天津300387 [2]山西省疾病预防控制中心,山西太原030012

出　　处：《生物数学学报》2013年第3期385-389,共5页Journal of Biomathematics

基　　金：National Natural Science Foundation of China(11101305)

摘　　要：基于接种免疫的暂时性,本文研究了一类具有垂直传染的传染病模型.证明了系统平衡点的存在性并得到了一个局部渐进稳定的疾病灭绝平衡点.Based on the fact that the vaccine-induced immunity is only temporary,a kind of infectious disease model with vertical transmission is studied.It is obtained the existence of the equilibria for the system and the asymptotical stability of the diseasefree equilibrium.

关 键 词：流行病模型 时滞 接种 垂直传染 平衡点 

分 类 号：Q141[生物学—生态学]