Modeling the spread dynamics of racism in cyberspace

Abstract

In this work, we develop a new $SEID$ (Susceptible-Exposed-Infected-Deny) racism propagation model, which describes the racism diffusion. The racism-free and prevalence equilibrium points are calculated and its stability is analyzed. The threshold value of the model $R_0$ is derived. As a result of theoretical analysis, racism spread is under control when $R_0leq 1$. While, if $R_0>1$ the racism propagates in the cyberspace. Furthermore, the sensitivity analysis of the parametric values of the model are illustrated. We use textsc{Matlab} ode45 solver to illustrate the numerical solutions.  Finally,  from theoretical analysis and numerical solutions, we obtain mutually consistent results.