A new discrete-time epidemic model describing information spread and its impact on the agree-disagree model

Abstract

In this study, we propose a new modified discrete-time epidemic model that characterizes the diffusion of information and its impact on the agreement/disagreement model. So the goal is to increase the amount of information to influence people’s opinions. To do this, we proposed a control strategy based on the increase in the number of posts that influence people to agree with the subject studied (election, vaccine against COVID 19). The Pontryagin maximum principle is used to describe optimal control. Finally, numerical simulations are performed to verify the theoretical analysis using MATLAB.