An Extended SISa Model for Sentiment Contagion

One of the main differences between sentiment and infectious diseases is that the former one has two opposite infectious states: positive (optimistic) and negative (pessimistic), while the latter one has not. In this paper, based on the SISa model, we consider this issue and propose a new model of s...

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Main Authors: Zhifeng Liu, Tingting Zhang, Qiujun Lan
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/262384
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author Zhifeng Liu
Tingting Zhang
Qiujun Lan
author_facet Zhifeng Liu
Tingting Zhang
Qiujun Lan
author_sort Zhifeng Liu
collection DOAJ
description One of the main differences between sentiment and infectious diseases is that the former one has two opposite infectious states: positive (optimistic) and negative (pessimistic), while the latter one has not. In this paper, based on the SISa model, we consider this issue and propose a new model of sentiment contagion called the SOSa-SPSa model. The results of both numerical and agent-based simulations show that our model could explain the process of sentiment contagion better than that of Hill et al. (2010). Further analysis shows that both the numbers of optimistic and pessimistic individuals will increase with the probability of spontaneity or contagion and decrease with the probability of recovery. Potential applications of this model in financial market have also been discussed.
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series Discrete Dynamics in Nature and Society
spelling doaj-art-d7e86baa2ce7421bbe413190beede73c2025-08-20T02:21:25ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/262384262384An Extended SISa Model for Sentiment ContagionZhifeng Liu0Tingting Zhang1Qiujun Lan2College of Management and Economics, Tianjin University, Tianjin 300072, ChinaCollege of Management and Economics, Tianjin University, Tianjin 300072, ChinaBusiness School, Hunan University, Changsha 410082, ChinaOne of the main differences between sentiment and infectious diseases is that the former one has two opposite infectious states: positive (optimistic) and negative (pessimistic), while the latter one has not. In this paper, based on the SISa model, we consider this issue and propose a new model of sentiment contagion called the SOSa-SPSa model. The results of both numerical and agent-based simulations show that our model could explain the process of sentiment contagion better than that of Hill et al. (2010). Further analysis shows that both the numbers of optimistic and pessimistic individuals will increase with the probability of spontaneity or contagion and decrease with the probability of recovery. Potential applications of this model in financial market have also been discussed.http://dx.doi.org/10.1155/2014/262384
spellingShingle Zhifeng Liu
Tingting Zhang
Qiujun Lan
An Extended SISa Model for Sentiment Contagion
Discrete Dynamics in Nature and Society
title An Extended SISa Model for Sentiment Contagion
title_full An Extended SISa Model for Sentiment Contagion
title_fullStr An Extended SISa Model for Sentiment Contagion
title_full_unstemmed An Extended SISa Model for Sentiment Contagion
title_short An Extended SISa Model for Sentiment Contagion
title_sort extended sisa model for sentiment contagion
url http://dx.doi.org/10.1155/2014/262384
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