Modeling and Analysis of the Interaction of Neutral and Undocumented Populations: A Competing Species Model

A. Kazmierczak


The rise of the undocumented population throughout the United States has brought concern, debate, and contention to the modern world. The immigration strategies of undocumented aliens are national and are no longer concentrated in a particular location. In this paper, we present a dynamical model of the interaction between a neutral and undocumented population. The formulation is based on models of interactions between competing species 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 analyzes the current populations. Part three analyzes the situation when an additional number of undocumented aliens are introduced into the undocumented population. Part four analyzes the situation when there is a decline in the undocumented population. Part five analyzes the situation when there is no undocumented population. Part six gives conclusions.
This paper follows up on our previous paper “Modelling and Analysis of the Interaction of Neutral and Radical Populations: A Competing Species Model.


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