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International Conference on Computer Technology and Development, 3rd (ICCTD 2011)

Jianhong Zhou
Jianhong Zhou
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ASME Press
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In this paper, an SEIRS epidemic model with vertical transmission in a periodic environment is investigated. The basic reproduction number R0 is defined by using of the spectral radius of a linear integral operator. Further, it is proved that R0 is the threshold parameter to judge the extinction or the persistence of the disease. It shows that if R0 <1 , then the disease-free periodic solution is globally asymptotically stable, if R0 >1 , the disease-free periodic solution is unstable and the disease is developed to be persistent. Numerical simulations are carried out to support our...

Key Words
1 Introduction
2. The SEIRS Epidemic Model and Preliminary
3 The Analysis of the SEIRS Epidemic Model
4.Numerical Simulation
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