先发制人和镇压干预下武装犯罪集团的数学模型

Wahyudin Nur, Darmawati Darmawati
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引用次数: 1

摘要

武装犯罪集团是世界上许多国家面临的问题之一。武装犯罪集团成员的可怕行为会影响到很多人。在本文中,我们构建了一个确定性的数学模型,考虑了劝导性和抑制性干预。我们认为犯罪是一种社会流行病。确定了武装犯罪集团自由平衡点和武装犯罪集团持久平衡点及其存在条件。下一代矩阵用于获得基本复制数。利用线性化方法证明了平衡点的局部稳定条件。证明了在一定条件下武装犯罪集团自由平衡点是全局渐近稳定的。通过数值模拟来支持我们的演绎研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematical Model of Armed Criminal Group with Pre-emitive and Repressive Intervention
Armed Criminal group is one of the problems faced by many countries in the world. Awful behaviour of armed criminal group members can affect a large amount of people. In this paper, we construct a deterministic mathematical model that takes into account persuasive  and repressive intervention. We consider crime as a social epidemic. We determine the armed criminal group free equilibrium point and the armed criminal group persistence equilibrium point together with their existence condition. The next generation matrix is used to obtain the basic reproduction number. The local stability conditions of equilibrium points are proved using linearization. We show that the armed criminal group free equilibrium point is globally asymptotically stable under certain condition. Numerical simulations are performed to support our deductive study.
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