scholarly journals Optimal Control for Heterogeneous Node-Based Information Epidemics Over Social Networks

2020 ◽  
Vol 7 (3) ◽  
pp. 1115-1126
Author(s):  
Fangzhou Liu ◽  
Martin Buss
Author(s):  
Sharif Guseynov ◽  
Aleksandrs Berežnojs ◽  
Jekaterina Aleksejeva

This paper examines social networks, where each agent is characterized by some dynamic parameters, the dynamics of which is resulting from the influence of other agents having their own objective functions and limiting factors, as well as from control/governing body with its own objective function. In this paper, referring to the type of social networks described above, the following two interrelated problems are investigated: the problem of determining the degree of information influence on social networks; the problem of finding optimal control in social networks.  


2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Da-Wen Huang ◽  
Lu-Xing Yang ◽  
Xiaofan Yang ◽  
Yuan Yan Tang ◽  
Jichao Bi

Rumors have been widely spread in online social networks and they become a major concern in modern society. This paper is devoted to the design of a cost-effective rumor-containing scheme in online social networks through an optimal control approach. First, a new individual-based rumor spreading model is proposed, and the model considers the influence of the external environment on rumor spreading for the first time. Second, the cost-effectiveness is recommended to balance the loss caused by rumors against the cost of a rumor-containing scheme. On this basis, we reduce the original problem to an optimal control model. Next, we prove that this model is solvable, and we present the optimality system for the model. Finally, we show that the resulting rumor-containing scheme is cost-effective through extensive computer experiments.


2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Rachid Ghazzali ◽  
Amine El Bhih ◽  
Adil El Alami Laaroussi ◽  
Mostafa Rachik

We propose to model the phenomenon of the spread of a rumor in social networks in this paper. From an existing SIR model, we manipulate a new one that is based on the model of cholera in order to take into account professional pages that specialize in spreading rumors. In the second part, we introduce a control strategy to fight against the diffusion of the rumor. Our main objective is to characterize the three optimal controls that minimize the number of spreader users, fake pages, and the corresponding costs. For that matter, using the maximum principle of Pontryagin, we prove the existence and we give characterization of our controls. Numerical simulations are given to concretize our approach.


Author(s):  
Mark E. Dickison ◽  
Matteo Magnani ◽  
Luca Rossi

2006 ◽  
Vol 27 (2) ◽  
pp. 108-115 ◽  
Author(s):  
Ana-Maria Vranceanu ◽  
Linda C. Gallo ◽  
Laura M. Bogart

The present study investigated whether a social information processing bias contributes to the inverse association between trait hostility and perceived social support. A sample of 104 undergraduates (50 men) completed a measure of hostility and rated videotaped interactions in which a speaker disclosed a problem while a listener reacted ambiguously. Results showed that hostile persons rated listeners as less friendly and socially supportive across six conversations, although the nature of the hostility effect varied by sex, target rated, and manner in which support was assessed. Hostility and target interactively impacted ratings of support and affiliation only for men. At least in part, a social information processing bias could contribute to hostile persons' perceptions of their social networks.


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