TITLE:
Global stability for delay SIR epidemic model with vertical transmission
AUTHORS:
Junli Liu, Tailei Zhang
KEYWORDS:
delay; vertical transmission; saturated contact rate; global asymptotic stability; permanence
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.2 No.4B,
January
8,
2013
ABSTRACT: A SIR epidemic model with delay, saturated contact rate and vertical transmission is considered. The basic reproduction number is calculated. It is shown that this number characterizes the disease transmission dynamics: if, there only exists the disease-free equilibrium which is globally asymptotically stable; if, there is a unique endemic equilibrium and the disease persists, sufficient cond- itions are obtained for the global asymptotic stability of the endemic equilibrium.