文章基本信息

标题：Global stability of a SEIR rumor spreading model with demographics on scale-free networks
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作者：Chen Wan ; Tao Li ; Zhicheng Sun 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：253
DOI：10.1186/s13662-017-1315-y
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, a new SEIR (susceptible-exposed-infected-removed) rumor spreading model with demographics on scale-free networks is proposed and investigated. Then the basic reproductive number R 0 $R_($ and equilibria are obtained. The theoretical analysis indicates that the basic reproduction number R 0 $R_($ has no correlation with the degree-dependent immigration. The globally asymptotical stability of rumor-free equilibrium and the permanence of the rumor are proved in detail. By using a novel monotone iterative technique, we strictly prove the global attractivity of the rumor-prevailing equilibrium.
关键词：rumor spreading model ; scale-free networks ; hesitate mechanism ; demographics ; stability