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

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Miao, Anqi; Zhang, Jian; Zhang, Tongqian; Pradeep, B. G. Sampath Aruna;
  • Publisher: Hindawi
  • Journal: Computational and Mathematical Methods in Medicine,volume 2,017 (issn: 1748-670X, eissn: 1748-6718)
  • Publisher copyright policies & self-archiving
  • Related identifiers: pmc: PMC5518526, doi: 10.1155/2017/4820183
  • Subject: R858-859.7 | Research Article | Computer applications to medicine. Medical informatics | Article Subject
    mesheuropmc: humanities | social sciences
    arxiv: Quantitative Biology::Populations and Evolution

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 sh... View more
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