MATHEMATICAL MODEL FOR THE PREVALENCE OF DISINFORMATION OVER SOCIAL FABRIC

Jitendra Panchal; Falguni Acharya; Kanan Joshi; Vikas Vashisth

Jitendra Panchal Department of Applied Sciences and Humanities Parul Institute of Engineering and Technology, Parul University, Vadodara 391760, Gujarat, India
Falguni Acharya Department of Applied Sciences and Humanities Parul Institute of Engineering and Technology, Parul University, Vadodara 391760, Gujarat, India
Kanan Joshi Department of Applied Sciences and Humanities Parul Institute of Engineering and Technology, Parul University, Vadodara 391760, Gujarat, India
Vikas Vashisth Department of Applied Sciences and Humanities Parul Institute of Engineering and Technology, Parul University, Vadodara 391760, Gujarat, India

Article ID: 2548

Keywords: SEHIR model; COVID-19; numerical simulation; disinformation; social media

Abstract

The ensuing study analyzes the trend of disinformation appertaining to the coronavirus pandemic on social media platforms through mathematical modeling. We introduce a new SEHIR model with an additional compartment of people not reacting instantly or at all to the disinformation called hibernators, to obtain more clarity on the pattern of spread of fake news. The stability analyses of the prevalence free equilibrium have been provided in terms of basic reproduction number, and the existence and uniqueness of the solution have been proved using the fixed-point technique. Furthermore, we conduct a numerical simulation using an experimental survey. The findings are graphically depicted to show different scenarios for social media users across compartments.

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