OJAppS  Vol.2 No.4 B , December 2012
Global stability for delay SIR epidemic model with vertical transmission
Author(s) Junli Liu*, Tailei Zhang
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.

Cite this paper
nullLiu, J. and Zhang, T. (2012) Global stability for delay SIR epidemic model with vertical transmission. Open Journal of Applied Sciences, 2, 1-4. doi: 10.4236/ojapps.2012.24B001.
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