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author:

Huang, Shouying (Huang, Shouying.) [1] (Scholars:黄寿颖)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we study the spreading of infections on complex heterogeneous networks based on an SEIRS epidemic model with nonlinear infectivity. By mathematical analysis, the basic reproduction number R-0 is obtained. When R-0 is less than one, the disease-free equilibrium is globally asymptotically stable and the disease dies out, while R-0 is greater than one, the disease-free equilibrium becomes unstable and the disease is permanent, and in the meantime there exists a unique endemic equilibrium which is globally attractive under certain conditions. Finally, the effects of various immunization schemes are studied. To verify our theoretical results, the corresponding numerical simulations are also included.

Keyword:

complex network Epidemic dynamics immunization nonlinear infectivity

Community:

  • [ 1 ] [Huang, Shouying]Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China
  • [ 2 ] [Huang, Shouying]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

Reprint 's Address:

  • 黄寿颖

    [Huang, Shouying]Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China

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Source :

INTERNATIONAL JOURNAL OF BIOMATHEMATICS

ISSN: 1793-5245

Year: 2016

Issue: 1

Volume: 9

1 . 0 5

JCR@2016

2 . 4 0 0

JCR@2023

ESI Discipline: BIOLOGY & BIOCHEMISTRY;

ESI HC Threshold:253

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 5

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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