University of GuilanJournal of Mathematical Modeling2345-394X8220200501Modeling the spread dynamics of racism in cyberspace105122396410.22124/jmm.2020.14850.1346ENDejen KetemaMamoDepartment of Mathematics, Collage of Natural and Computational Sciences, Debre Berhan University, Debre Berhan, Ethiopia0000-0002-7126-4711Journal Article20191028In 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 $R_0\leq 1$. 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.https://jmm.guilan.ac.ir/article_3964_a17fa1d7184fa40fdf0c34c3bced1d14.pdf