An optimal control approach for a discrete time model of information dissemination
Hamza Boutayeb, Mostafa Rachik, Omar Zakary, Sara Bidah
Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
14 September 2019 |
29 September 2019 |
10 March 2020 |
Abstract: In this communication, we consider a new discrete-time model that describes the spread of information by shares in some kind of online environment such as Facebook, WhatsApp, Tweeter and other platforms groups. The impact of sharing information on the information amount is investigated, where in the considered model, the information amount is incorporated as a supplement compartment. We consider the possible interactions between individuals and information in the internet, such as posts, images and videos, etc. Theory of control is used to show the effectiveness of our optimal control strategy in reducing the information amount and Sharers in order to control the dissemination of false information that can lead to annoying situations and unstable state of society. Numerical simulation is performed to investigate several scenarios before and after the use of our strategy of control, furthermore, sensitivity analysis of the information amount on parameters is discussed.
