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.

SEHIR model, COVID-19, numerical simulation, disinformation, social media.

Received: July 29, 2021; Accepted: October 10, 2021; Published: February 18, 2022

How to cite this article: Jitendra Panchal, Falguni Acharya, Kanan Joshi and Vikas Vashisth, Mathematical model for the prevalence of disinformation over social fabric, Advances in Differential Equations and Control Processes 27 (2022), 29-53. DOI: 10.17654/0974324322011

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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