Epidemic spreading in scale-free networks including the effect of individual vigilance

被引：23

作者：

Gong Yong-Wang ^{[2
,3
]}

Song Yu-Rong ^{[1
]}

Jiang Guo-Ping ^{[1
]}

机构：

[1] Nanjing Univ Posts & Telecommun, Coll Automat, Nanjing 210003, Peoples R China

[2] Nanjing Univ Posts & Telecommun, Coll Comp, Nanjing 210003, Peoples R China

[3] Yancheng Inst Technol, Sch Informat Engn, Yancheng 224051, Peoples R China

来源：

CHINESE PHYSICS B | 2012年 / 21卷 / 01期

基金：

中国国家自然科学基金;

关键词：

scale-free network; susceptible-infected-recovered model; individual vigilance; epidemic threshold; INFECTIVE MEDIUM; COMPLEX; MODEL;

D O I：

10.1088/1674-1056/21/1/010205

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the epidemic spreading in scale-free networks and propose a new susceptible-infected-recovered (SIR) model that includes the effect of individual vigilance. In our model, the effective spreading rate is dynamically adjusted with the time evolution at the vigilance period. Using the mean-field theory, an analytical result is derived. It shows that individual vigilance has no effect on the epidemic threshold. The numerical simulations agree well with the analytical result. Furthermore, we investigate the effect of individual vigilance on the epidemic spreading speed. It is shown that individual vigilance can slow the epidemic spreading speed effectively and delay the arrival of peak epidemic infection.

引用

页数：5

共 22 条

[1] Statistical mechanics of complex networks [J].

Albert, R ;

Barabási, AL .

REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97

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

Barabási, AL ;

Albert, R .

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

[3] Velocity and hierarchical spread of epidemic outbreaks in scale-free networks -: art. no. 178701 [J].

Barthélemy, M ;

Barrat, A ;

Pastor-Satorras, R ;

Vespignani, A .

PHYSICAL REVIEW LETTERS, 2004, 92 (17) :178701-1

[4] Evolution of networks [J].

Dorogovtsev, SN ;

Mendes, JFF .

ADVANCES IN PHYSICS, 2002, 51 (04) :1079-1187

[5]

Huang W, 2009, CHINESE PHYS B, V18, P1306, DOI 10.1088/1674-1056/18/4/002

[6]

May RM, 2001, PHYS REV E, V64, DOI 10.1103/PhysRevE.64.066112

[7] Epidemic outbreaks in complex heterogeneous networks [J].

Moreno, Y ;

Pastor-Satorras, R ;

Vespignani, A .

EUROPEAN PHYSICAL JOURNAL B, 2002, 26 (04) :521-529

[8] The structure and function of complex networks [J].

Newman, MEJ .

SIAM REVIEW, 2003, 45 (02) :167-256

[9] Epidemic dynamics and endemic states in complex networks [J].

Pastor-Satorras, R ;

Vespignani, A .

PHYSICAL REVIEW E, 2001, 63 (06)

[10] Epidemic spreading in scale-free networks [J].

Pastor-Satorras, R ;

Vespignani, A .

PHYSICAL REVIEW LETTERS, 2001, 86 (14) :3200-3203

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