Author:
Yang Shuai,Jiang Haijun,Hu Cheng,Yu Juan,Li Jiarong
Abstract
AbstractIn this paper, a novel rumor-spreading model is proposed under bilingual environment and heterogenous networks, which considers that exposures may be converted to spreaders or stiflers at a set rate. Firstly, the nonnegativity and boundedness of the solution for rumor-spreading model are proved by reductio ad absurdum. Secondly, both the basic reproduction number and the stability of the rumor-free equilibrium are systematically discussed. Whereafter, the global stability of rumor-prevailing equilibrium is explored by utilizing Lyapunov method and LaSalle’s invariance principle. Finally, the sensitivity analysis and the numerical simulation are respectively presented to analyze the impact of model parameters and illustrate the validity of theoretical results.
Funder
National Natural Science Foundation of People’s Republic of China
the Innovation Team Program of Universities in Xinjiang Uyghur Autonomous Region
the Tianshan Youth Program
the Excellent Doctor Innovation Program of Xinjiang University
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Cited by
17 articles.
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