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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Veröffentlicht in:	Computational and mathematical methods in medicine 2017-01, Vol.2017 (2017), p.1-10
Hauptverfasser:	Pradeep, B. G. Sampath Aruna, Zhang, Tongqian, Zhang, Jian, Miao, Anqi
Format:	Artikel
Sprache:	eng
Schlagworte:	Communicable Disease Control Computer Simulation Disease Eradication - statistics & numerical data Humans Infectious Disease Transmission, Vertical - statistics & numerical data Models, Biological Stochastic Processes Vaccination - statistics & numerical data
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Beschreibung
Zusammenfassung:	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.
ISSN:	1748-670X 1748-6718
DOI:	10.1155/2017/4820183