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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 C-2-function therewith. Then a sufficient condition that guarantees the disappearances of diseases 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. We also derived the sufficient conditions of the persistence in the mean for the susceptible and infected when another indicator (R) over tilde (0) >1.
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INTERNATIONAL JOURNAL OF BIOMATHEMATICS
ISSN: 1793-5245
Year: 2018
Issue: 8
Volume: 11
0 . 8 9 4
JCR@2018
2 . 4 0 0
JCR@2023
ESI Discipline: BIOLOGY & BIOCHEMISTRY;
ESI HC Threshold:212
JCR Journal Grade:4
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 3
SCOPUS Cited Count: 3
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 0
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