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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Journal of Dynamical Systems and Geometric Theories
Open Access Article

Dynamics of Rumor Spreading With a Controller Agent

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pp. 61–70Vol. 17Issue 1January 2019DOI: 10.1080/1726037X.2019.1614248XML
Received:
19 Dec 2017
Accepted:
01 May 2018
Published Online:
16 May 2019
Article type:
Article
Language:
EN
Article no.:
1726037X.2019.1614248
Pages:
61–70

Abstract

In this paper, a new rumor spreading model, Ignorant-SpreaderStifler-Controller (ISRC) model, is developed. The model extends the classical Ignorant-Spreader-Stifler (ISR) rumor spreading model by adding a new kind of people that spread a new rumor against previous rumor to control and reduce the maximum rumor influence. We derive a dynamical system that describe the dynamics of the ISRC model. Beside the dynamical analysis of the model, we consider asymptotical stability in equilibrium point. Numerical simulations are also conducted to support our analytic results.

Keywords

Epidemic modelRumor spreadingAsymptotic behaviorNumerical simulations

Subject Classifications

37K4037N30

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