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author:

Gan, Shu-qi (Gan, Shu-qi.) [1] | Wei, Feng-ying (Wei, Feng-ying.) [2] (Scholars:魏凤英)

Indexed by:

CPCI-S

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.

Keyword:

Extinction Persistence in the mean Stochastic epidemic model Threshold Time delay

Community:

  • [ 1 ] [Gan, Shu-qi]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 2 ] [Wei, Feng-ying]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China

Reprint 's Address:

  • 魏凤英

    [Wei, Feng-ying]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China

Email:

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Source :

INTERNATIONAL CONFERENCE ON MATHEMATICS, MODELLING AND SIMULATION TECHNOLOGIES AND APPLICATIONS (MMSTA 2017)

ISSN: 2475-8841

Year: 2017

Volume: 215

Page: 46-52

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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