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has been cited by the following article:

• 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.