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Modeling the spread dynamics of racism in cyberspace | ||
| Journal of Mathematical Modeling | ||
| مقاله 1، دوره 8، شماره 2، مرداد 2020، صفحه 105-122 اصل مقاله (376.29 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2020.14850.1346 | ||
| نویسنده | ||
| Dejen Ketema Mamo* | ||
| Department of Mathematics, Collage of Natural and Computational Sciences, Debre Berhan University, Debre Berhan, Ethiopia | ||
| چکیده | ||
| 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 $R_0\leq 1$. 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. | ||
| کلیدواژه‌ها | ||
| Cyberspace؛ racism spread؛ compartment model؛ stability analysis؛ numerical results | ||
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آمار تعداد مشاهده مقاله: 1,543 تعداد دریافت فایل اصل مقاله: 1,443 |
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