%0 Journal Article
%T Modeling the spread dynamics of racism in cyberspace
%J Journal of Mathematical Modeling
%I University of Guilan
%Z 2345-394X
%A Mamo, Dejen Ketema
%D 2020
%\ 05/01/2020
%V 8
%N 2
%P 105-122
%! Modeling the spread dynamics of racism in cyberspace
%K Cyberspace
%K racism spread
%K compartment model
%K Stability analysis
%K numerical results
%R 10.22124/jmm.2020.14850.1346
%X 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.
%U https://jmm.guilan.ac.ir/article_3964_a17fa1d7184fa40fdf0c34c3bced1d14.pdf