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• W2621152912 abstract "In this paper, we investigate the basic features of an SIS type infectious disease model with varying population size and vaccinations in presence of environment noise. By applying the Markov semigroup theory, we propose a stochastic reproduction number R0s which can be seen as a threshold parameter to utilize in identifying the stochastic extinction and persistence: If R0s<1, under some mild extra conditions, there exists a disease-free absorbing set for the stochastic epidemic model, which implies that disease dies out with probability one; while if R0s>1, under some mild extra conditions, the SDE model has an endemic stationary distribution which results in the stochastic persistence of the infectious disease. The most interesting finding is that large environmental noise can suppress the outbreak of the disease." @default.
• W2621152912 created "2017-06-09" @default.
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• W2621152912 date "2017-11-01" @default.
• W2621152912 modified "2023-10-16" @default.
• W2621152912 title "A stochastic SIS epidemic model with vaccination" @default.
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• W2621152912 doi "https://doi.org/10.1016/j.physa.2017.05.083" @default.
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