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- Title
Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination.
- Authors
Miao, Anqi; Zhang, Jian; Zhang, Tongqian; Pradeep, B. G. Sampath Aruna
- Abstract
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 to the extinction of infectious diseases which is conducive to epidemic diseases control.
- Subjects
VERTICAL transmission (Communicable diseases); VACCINATION; STOCHASTIC models; BIOLOGICAL extinction; EPIDEMICS
- Publication
Computational & Mathematical Methods in Medicine, 2017, p1
- ISSN
1748-670X
- Publication type
Article
- DOI
10.1155/2017/4820183