An epidemic spreading model on adaptive scale-free networks with feedback mechanism

被引：33
|
作者：
Li, Tao [1 ]
Liu, Xiongding [1 ]
Wu, Jie [2 ]
Wan, Chen [1 ]
Guan, Zhi-Hong [3 ]
Wang, Yuanmei [1 ]
机构：
[1] Yangtze Univ, Sch Elect & Informat, Jingzhou 434023, Peoples R China
[2] Hubei Normal Univ, Coll Mechatron & Control Engn, Huangshi 435002, Peoples R China
[3] Huazhong Univ Sci & Technol, Coll Automat, Wuhan 430074, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 450卷
基金：
中国国家自然科学基金;
关键词：
Epidemic spreading; Heterogeneity; Feedback mechanism; Stability; Permanence; COMPLEX HETEROGENEOUS NETWORKS; GLOBAL STABILITY; DYNAMICS; PREDICTABILITY; VIRUS;
D O I：
10.1016/j.physa.2016.01.045
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A SIRS epidemic model with feedback mechanism on adaptive scale-free networks is presented. Using the mean field theory the spreading dynamics of the epidemic is studied in detail. The basic reproductive number and equilibriums are derived. Theoretical results indicate that the basic reproductive number is significantly dependent on the topology of the underlying networks. The existence of equilibriums is determined by the basic reproductive number. The global stability of disease-free equilibrium and the epidemic permanence are proved in detail. The feedback mechanism cannot change the basic reproductive number, but it can reduce the endemic level and weaken the epidemic spreading. Numerical simulations confirmed the analytical results. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：649 / 656
页数：8
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