Optimal control strategies depending on interest level for the spread of rumor
type: Item
instance of: scholarly article
title: Optimal control strategies depending on interest level for the spread of rumor
zbMATH Open document ID: 1417.49052
DOI: 10.1155/2018/9158014
author: Yong Dam Jeong
author: Kwang Su Kim
author: Il Hyo Jung
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: Many media channels such as broadcast, newspaper, and social networks diffuse a variety of information which can cause spread of many rumors. There are social damage and economic damage due to the spread of rumors. Thus one needs to establish strategies for controlling the rumors. We first propose rumor model with three control strategies for preventing the spread of rumor, (1) announcing the truth before ignorant receives rumor, (2) punishing spreaders, and (3) deleting information of the rumor in media, and consider optimal control problems to minimize the number of spreaders while minimizing the cost of three control strategies for preventing the spread of rumors. The analysis of optimal control problems is conducted as Pontryagin's Maximum Principle. Furthermore, adapted optimal control is performed to investigate the effect of three controls under isoperimetric constraints. By using numerical simulations, we compare the number of spreaders before and after applying the three controls and confirm when and how each control should be applied with respect to the interest level of rumor. The lower the interest level of rumor is, the greater the number of spreaders drops after the three controls are applied. In terms of timing of three controls, control (1) should be applied in the early stage of rumor spreading and control (2) is required when the rumors spread the most. After the rumors spread the most, control (3) is needed. Commonly the higher the interest level is, the more controls (1) and (2) are required. On the other hand, control (3) is needed a lot when the interest level is low.
Mathematics Subject Classification ID: 49N90
Mathematics Subject Classification ID: 91D10
zbMATH DE Number: 7026721
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9158014
OpenAlex ID: W2799742924
cites work: Deterministic models for rumor transmission
cites work: A rumor transmission model with various contact interactions
cites work: Analyzing the dynamics of a rumor transmission model with incubation
cites work: Dynamical behavior of a rumor transmission model with psychological effect in emergency event
cites work: Dynamical model about rumor spreading with medium
cites work: Dynamical behaviors of rumor spreading model with control measures
cites work: Differential equations. Classical to controlled
cites work: Prevention of influenza pandemic by multiple control strategies
cites work: Q3995886
cites work: Q3446096
Recommended article: Q5152604
Recommended article: Optimal control of rumor spreading model with consideration of psychological factors and time delay
Recommended article: Optimal control of information epidemics modeled as Maki Thompson rumors
Recommended article: Dynamic analysis and optimal control of rumor propagation model with reporting effect
Recommended article: Optimal control of a rumor propagation model with latent period in emergency event
Recommended article: Dynamics of Rumor Spreading With a Controller Agent
Recommended article: Optimal control of rumor spreading model on homogeneous social network with consideration of influence delay of thinkers
Recommended article: Q3375439
Recommended article: Nonlinear dynamical analysis and optimal control strategies for a new rumor spreading model with comprehensive interventions
description: scientific article; zbMATH DE number 7026721