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.