Epidemic model on rumor propagation in e-commerce

Abstract

In the present scenario for business and communications, people are using social network or e-commerce related web sites. Large sector of young population across the globe surfing internets hesitate performing e-commerce. Do cyber-attacks and rumor play a vital role in performing e-commerce? An e-epidemic model is developed to understand the transmission dynamics of cyber-attacks and rumors in e-commerce. Media awareness for reducing the rumor spread is also introduced as a key parameter in the proposed model. Reproduction number is found out with necessary conditions for the transmission to be an epidemic or not. In this model for the global stability we used Poincare-Bendixon property. In this work the extensive numerical simulations are adopted to generate the analytical solution by taking real parametric values.