Author(s)

Junli Liu, Tailei Zhang

School of Mathematics and Statistics Xi'an Jiaotong University Xi'an, China.
School of Science Xi'an Polytechnic University Xi'an, China.

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.

delay; vertical transmission; saturated contact rate; global asymptotic stability; permanence

Liu, 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.