The Modeling and Analysis of the Interaction of Neutral and Gang Populations: A Competing Species Model
Abstract
The rise of the gang population in the United States has brought concern, debate, and contention to the modern world. Thestrategies of gangs are local and are concentrated in a major metropolitan areas. In this paper, we present a dynamical model of the interaction between gang and native populations. The formulation is based on models of interactions between competing species[3] type dynamics. An exploration of the long-term dynamics and stability of homogeneous equilibrium solutions and their stability is given. The paper is given in multiple parts. Part two presents the mathematical model. Part three analyzes the current populations. Part four analyzes the situation when an additional number of gang members are introduced into the gang population. Part five analyzes the scenario where there is a decline in the gang population. Part six presents conclusions
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