Modeling the spread dynamics of racism in cyberspace

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_۰ is derived. As a result of theoretical analysis, racism spread is under control when R_۰\leq ۱. While, if R_۰>۱ the racism propagates in the cyberspace. Furthermore, the sensitivity analysis of the parametric values of the model are illustrated. We use \textsc{Matlab} ode۴۵ solver to illustrate the numerical solutions.  Finally,  from theoretical analysis and numerical solutions, we obtain mutually consistent results.

کلیدواژه ها:

Cyberspace ، racism spread ، compartment model ، Stability analysis ، numerical results