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author:

Gan, Shuqi (Gan, Shuqi.) [1] | Wei, Fengying (Wei, Fengying.) [2] (Scholars:魏凤英)

Indexed by:

Scopus SCIE

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.

Keyword:

delay extinction persistence in the mean Stochastic epidemic model

Community:

  • [ 1 ] [Gan, Shuqi]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 2 ] [Wei, Fengying]Fuzhou Univ, Key Lab Operat Res & Control Univ Fujian, Fuzhou 350116, Fujian, Peoples R China

Reprint 's Address:

  • 魏凤英

    [Wei, Fengying]Fuzhou Univ, Key Lab Operat Res & Control Univ Fujian, Fuzhou 350116, Fujian, Peoples R China

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Source :

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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