A Mathematical Model of Gang Membership and Control
Keywords:
Mathematical model, reproduction number, infectious disease, transmission dynamics, stability analysisAbstract
Authors: Anorue, Onyinyechi Favour* and Atuma, David Esther
Received: 23November 2022/Accepted 18 January 2023
There is an increasing growth in gang membership worldwide and especially our nation Nigeria, this prompted the study as a means to contribute to the social stability of the country. We considered gang membership as an infectious disease that spreads through out a given population. We formulated a modified SEIR model to look into the transmission dynamics of gang by bringing into consideration, control techniques as measures to reduce the spread and activities of gang members. In analyzing the model, we proved that the disease free-equilibrium is locally and globally asymptotically stable when the reproduction number and unstable when The transmission pattern shows that investments in job provisions, technical crafts and programs geared towards recreation and other after-school activities factored into a compartment continues to be the best resource in curbing gang membership and its activities considering from rehabilitation point of view in the numerical simulation.
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