Study on the threshold of a stochastic SIR epidemic model and its extensions
作者： Dianli Zhao
DOI: 10.1016/J.CNSNS.2016.02.014
关键词: White noise 、 Value (mathematics) 、 Mathematics 、 Semimartingale 、 Applied mathematics 、 Convergence (routing) 、 Simple (abstract algebra) 、 Epidemic model 、 Statistics
摘要: Abstract This paper provides a simple but effective method for estimating the threshold of class stochastic epidemic models by use nonnegative semimartingale convergence theorem. Firstly, R 0 S I is obtained SIR model with saturated incidence rate, whose value below 1 or above will completely determine disease to go extinct prevail any size white noise. Besides, when > , system proved be convergent in time mean. Then, SIVS without rate are also established same method. Comparing previously-known literatures, related results improved, and simpler than before.
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