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- W2893972014 abstract "A susceptible–infected–vaccinated epidemic model with proportional vaccination and generalized nonlinear rate is formulated and investigated in the paper. We show that the stochastic epidemic model admits a unique and global positive solution with probability one when constructing a proper [Formula: see text]-function therewith. Then a sufficient condition that guarantees the disappearances of diseases is derived when the indicator [Formula: see text]. Further, if [Formula: see text], then we obtain that the solution is weakly permanent with probability one. We also derived the sufficient conditions of the persistence in the mean for the susceptible and infected when another indicator [Formula: see text]." @default.
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- W2893972014 date "2018-11-01" @default.
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- W2893972014 title "Study on a susceptible–infected–vaccinated model with delay and proportional vaccination" @default.
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- W2893972014 doi "https://doi.org/10.1142/s1793524518501024" @default.
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