Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination (Q1705345)
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scientific article; zbMATH DE number 6850529
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination |
scientific article; zbMATH DE number 6850529 |
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Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination (English)
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15 March 2018
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Summary: A stochastic \(S I R\) model with vertical transmission and vaccination is proposed and investigated in this paper. The threshold dynamics are explored when the noise is small. The conditions for the extinction or persistence of infectious diseases are deduced. Our results show that large noise can lead to the extinction of infectious diseases which is conducive to epidemic diseases control.
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vertical transmission
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extinction
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persistence
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vaccination
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