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Abstract:
A type of susceptible-infection-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 C-2-function therewith. Then the sufficient condition that guarantees the diseases vanish is derived when the indicator R-0 <1. Further, if R-0 >1, then we obtain that the solution is weakly permanent with probability one. And we also derived the sufficient conditions of the persistence in the mean for the susceptible and infected under the condition (R) over tilde (0) > 1.
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INTERNATIONAL CONFERENCE ON MATHEMATICS, MODELLING AND SIMULATION TECHNOLOGIES AND APPLICATIONS (MMSTA 2017)
ISSN: 2475-8841
Year: 2017
Volume: 215
Page: 46-52
Language: English
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WoS CC Cited Count: 0
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 0
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