The analysis of an SEIR rumor propagation model on heterogeneous network

被引：150

作者：

Liu, Qiming ^{[1
]}

Li, Tao ^{[1
]}

Sun, Meici ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang 050003, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 469卷

关键词：

Rumor spreading; Complex network; Threshold; Stability; SPREADING MODEL; SOCIAL NETWORKS; EPIDEMICS; MECHANISM;

D O I：

10.1016/j.physa.2016.11.067

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Considering that the exposed nodes may become the removed nodes at a rate, we present a novel rumor propagation SEIR model on heterogeneous network. We give formula of the rumor spreading threshold for the model and analyze the globally dynamical behaviors of the rumor free equilibrium set. Meanwhile, we discuss two immunization strategies for the rumor spreading. Numerical simulations are given to demonstrate the main results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：372 / 380

页数：9

共 25 条

[1]

[Anonymous], 1969, PURE APPL MATH

[2] Emergence of scaling in random networks [J].

Barabási, AL ;

Albert, R .

SCIENCE, 1999, 286 (5439) :509-512

[3] Rumor spreading in social networks [J].

Chierichetti, Flavio ;

Lattanzi, Silvio ;

Panconesi, Alessandro .

THEORETICAL COMPUTER SCIENCE, 2011, 412 (24) :2602-2610

[4] EPIDEMICS + RUMOURS [J].

DALEY, DJ ;

KENDALL, DG .

NATURE, 1964, 204 (496) :1118-&

[5]

De Wen Soh, 2011, 2011 International Conference on ICT Convergence, P156, DOI 10.1109/ICTC.2011.6082571

[6] Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization [J].

Fu, Xinchu ;

Small, Michael ;

Walker, David M. ;

Zhang, Haifeng .

PHYSICAL REVIEW E, 2008, 77 (03)

[7] Contribution to the mathematical theory of epidemics [J].

Kermack, WO ;

McKendrick, AG .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1927, 115 (772) :700-721

[8] Epidemic outbreaks on networks with effective contacts [J].

Li, Kezan ;

Small, Michael ;

Zhang, Haifeng ;

Fu, Xinchu .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) :1017-1025

[9]

Liao X., 2001, Mathematical Theory of Stability and Its Application

[10] Efficiency and reliability of epidemic data dissemination in complex networks [J].

Moreno, Y ;

Nekovee, M ;

Vespignani, A .

PHYSICAL REVIEW E, 2004, 69 (05) :4

← 1 2 3 →