Susceptible Exposed Infected Resisted (SEIR) Models on Hoax Spread in Twitter

Andreas Rony Wijaya
Mathematics Department, Faculty Mathematics and Natural Science Universitas Sebelas Maret Surakarta,
Yosef Ronaldo Lete Boro
Mathematics Department, Faculty Mathematics and Natural Science Universitas Sebelas Maret Surakarta,
Harum Sekar Prativi
Mathematics Department, Faculty Mathematics and Natural Science Medan State University Medan, Indonesia






Abstract

In the digital era and technological development, the internet and social media have become a main thing for the development of information diffusion processes, but at the same time are also used for hoax spread, misinformation, even hoax news. Twitter is a social media that is gaining a high level of popularity. This clearly shows that the spread of news and hoaxes on Twitter takes place very quickly and massively. This hoax can cause disputes between Twitter users. Therefore a policy is needed to reduce the spread of hoaxes. The hoax countermeasure policy can be done appropriately if policy makers know the dynamics of hoax spread. The mathematical model in the form of a system of differential equations can be used to observe the spread of hoaxes on Twitter. In this paper, the author uses the susceptible exposed infected resisted (SEIR) model to analogize the hoax spread model on Twitter. The purpose of this article is to analogize SEIR on the spread of hoaxes on Twitter and determine the solution of the model. This model classifies the population into four individual groups, namely tweets (susceptible), groups of tweets that contain hoaxes and need time (exposed), groups of tweets containing hoaxes and spread (infected), and groups of tweets that are free from tweets (resisted) The SEIR model in the form of a nonlinear differential equations which is difficult to determine the exact completion, therefore it is used numerically, namely the fourth order Runge-Kutta method. From the discussion obtained two equilibrium points are disease-free equilibrium point and endemic equilibrium point. The hoax spread on twitter shows that the equilibrium point was reached on 399 days.




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Publication Date

27/11/2018


ISBN

978-602-53524-0-9


Copyright


© The authors.
This article is distributed under the terms of the Creative Commons Attribution License 4.0, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited. See for details: https://creativecommons.org/licenses/by-nc/4.0/


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Proceeding The 2nd International Conference on Informatics for Development
27 November 2018
ISBN 978-602-53524-0-9
Open Access