Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination

A stochastic SIR 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 t...

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Bibliographic Details
Main Authors: Anqi Miao, Jian Zhang, Tongqian Zhang, B. G. Sampath Aruna Pradeep
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Computational and Mathematical Methods in Medicine
Online Access:http://dx.doi.org/10.1155/2017/4820183