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author:

Huang, S. (Huang, S..) [1] | Chen, F. (Chen, F..) [2] | Zhang, Y. (Zhang, Y..) [3]

Indexed by:

Scopus

Abstract:

This paper aims to investigate the effects of human behavior and contact heterogeneity on the spread of infectious diseases. For this purpose, a network-based SIRS epidemic model with a general feedback mechanism is proposed. In contrast to previous models, we consider the different fear degrees of individuals who have different potential number of contacts with others, when an epidemic prevails. The basic reproductive number that governs the global dynamics of the model is analytically derived. Accordingly, the permanence of the disease and stability conditions of the equilibria are studied in detail. It is shown that the general feedback mechanism cannot change the basic reproductive number, but theoretical and numerical results indicate that it plays an active role in reducing the disease damage. The obtained results generalize and improve some well-known ones. © 2019, The Author(s).

Keyword:

Complex networks; Epidemic dynamics; Feedback mechanism; The basic reproductive number

Community:

  • [ 1 ] [Huang, S.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China
  • [ 2 ] [Chen, F.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China
  • [ 3 ] [Zhang, Y.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China

Reprint 's Address:

  • [Huang, S.]College of Mathematics and Computer Science, Fuzhou UniversityChina

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Source :

Advances in Difference Equations

ISSN: 1687-1839

Year: 2019

Issue: 1

Volume: 2019

2 . 4 2 1

JCR@2019

3 . 1 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 9

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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