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- W129588369 abstract "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 theoretical results." @default.
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- W129588369 date "2011-01-01" @default.
- W129588369 modified "2023-09-23" @default.
- W129588369 title "Dynamics Analysis of an SEIRS Epidemic Model with Vertical Transmission in a Periodic Environment" @default.
- W129588369 doi "https://doi.org/10.1115/1.859919.paper270" @default.
- W129588369 hasPublicationYear "2011" @default.
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