Department of Mathematics, Collage of Natural and Computational Sciences, Debre Berhan University, Debre Berhan, Ethiopia.
Comput Math Methods Med. 2022 Jul 26;2022:7192795. doi: 10.1155/2022/7192795. eCollection 2022.
Recently, violence, racism, and their coexistence have been very common issues in most nations in the world. In this newly social science discipline mathematical modelling approach study, we developed and examined a new violence and racism coexistence mathematical model with eight distinct classes of human population (susceptible, violence infected, negotiated, racist, violence-racism coinfected, recuperated against violence, recuperated against racism, and recuperated against the coinfection). The model takes into account the possible controlling strategies of violence-racism coinfection. All the submodels and the violence-racism coexistence model equilibrium points are calculated, and their stabilities are analyzed. The model threshold values are derived. As a result of the model qualitative analysis, the violence-racism coinfection spreads under control if the corresponding basic reproduction number is less than unity, and it propagates through the community if this number exceeds unity. Moreover, the sensitivity analysis of the parameter values of the full model is illustrated. We have applied MATLAB ode45 solver to illustrate the numerical results of the model. Finally, from qualitative analysis and numerical solutions, we obtain relevant and consistent results.
最近，暴力、种族主义及其共存已成为世界上大多数国家非常普遍的问题。在这项新的社会科学学科数学建模方法研究中，我们开发并检验了一个具有八个不同人类群体（易感人群、暴力感染人群、协商人群、种族主义人群、暴力-种族主义混合感染人群、针对暴力康复人群、针对种族主义康复人群和针对混合感染康复人群）的暴力和种族主义共存数学模型。该模型考虑了可能的暴力-种族主义混合感染控制策略。计算了所有子模型和暴力-种族主义共存模型的平衡点，并分析了它们的稳定性。推导出了模型的阈值。通过模型定性分析，如果相应的基本再生数小于 1，则暴力-种族主义混合感染得到控制，否则该感染将在社区中传播。此外，还说明了全模型参数值的敏感性分析。我们应用 MATLAB ode45 求解器来说明模型的数值结果。最后，从定性分析和数值解中，我们得到了相关且一致的结果。
