Global stability of a SEIR rumor spreading model with demographics on scale-free networks

被引：23
作者：
Wan, Chen [1 ]
Li, Tao [1 ]
Sun, Zhicheng [1 ]
机构：
[1] Yangtze Univ, Sch Elect & Informat, Jingzhou 434023, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
rumor spreading model; scale-free networks; hesitate mechanism; demographics; stability; PROPAGATION MODEL; FRACTIONAL MODEL; EPIDEMIC MODEL; DYNAMICS; DIFFUSION; MECHANISM;
D O I：
10.1186/s13662-017-1315-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 and equilibria are obtained. The theoretical analysis indicates that the basic reproduction number R-0 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.
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页数：15
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