Asymptotical Behavior of SIR Epidemic Models with Vertical Transmission and Impulsive Vaccination
In this paper,we discuss SIR epidemic models with vertical transmission and impulsive vaccination which may inherently oscillate. We obtain the conditions for which the epidemic elimination solution is globally asymptotically stable. On the other hand, by the impulsive bifurcation theory, we prove the existence of a stable positive periodic solution.
vertical transmission impulsive vaccination saturated incidence rate globally asymptotically stable SIR epidemic model
Yan Song
Department of Mathematics Bohai University Jnzhou, China
国际会议
太原
英文
92-95
2010-10-22(万方平台首次上网日期,不代表论文的发表时间)