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 OJAppS  Vol.2 No.4 B , December 2012
Global stability for delay SIR epidemic model with vertical transmission
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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