期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 503, 期 -, 页码 862-881出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2018.02.087
关键词
Rumor spreading; General incidence function; Heterogeneous network; Stability; Homogeneous networks
资金
- National Natural Science Foundation of China [71171112, 71502073]
In this paper, we propose I2S2R rumor spreading model with general incidence function in homogeneous networks and I2S2R rumor spreading model in heterogeneous network. In the first model, we establish a dynamic model for rumor propagation called I2S2R, in which we consider two general incidence functions. Then the basic reproduction number, the locally stability and the global stability of rumor-free equilibrium are discussed. In the second model, we mainly consider another network structure, i.e. heterogeneous network. Thus, we propose a new dynamic model for rumor spreading. By deriving the mean field equation, the basic reproduction number is obtained. Moreover, the global stability of rumor-free equilibrium is established by comparison principle. By using a monotone iterative algorithm, the global attractivity of the positive equilibrium is proved. Finally, we obtain some important conclusions with numerical simulations. (C) 2018 Elsevier B.V. All rights reserved.
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