Understanding the different objectives of information and their mutual impact: multi-information model

Abstract

In this article, we propose a new multi-information discrete-time model describing the dissemination of several pieces of information from one person to another, it can be shared word-to-mouth or in certain types of online environments such as Facebook, WhatsApp, and Twitter. First, we present the model and the different possible interactions between its compartments. Based on the fact that there is always a goal behind publishing information, in the modeling process, we distinguish between information that shares the same objective and information that shares a contrary objective, to study the effect of those pieces of information on the others. To do this, we divide the entire target population into three groups for each piece of information and consider the possible transition between these groups. Numerical simulations are carried out to illustrate these effects, and to study the sensitivity of the model on its parameters to identify the most influential parameter.