GPH - International Journal of Mathematics http://www.gphjournal.org/index.php/m <p style="font-family: Helvetica;">The GPH Journal of&nbsp; Mathematics&nbsp;is a an open access journal which publishes research articles, reviews, case studies, guest edited thematic issues and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, theoretical bioinformatics, experimental mathematics etc.</p> en-US <p>Author(s) and co-author(s)&nbsp;jointly&nbsp;and severally represent and warrant that the Article is original with the author(s) and does not infringe any&nbsp;copyright or violate any other right of any third parties, and that the Article has not been published&nbsp;elsewhere.&nbsp;Author(s) agree to the terms that the <strong>GPH Journal</strong> will have the full right to remove the published article on any misconduct found in the published article.</p> editor@gphjournal.org (MOHD MUSTAQUE(FranK)) info@gphjournal.org (Fran) Thu, 21 Oct 2021 09:24:23 +0000 OJS 3.1.1.2 http://blogs.law.harvard.edu/tech/rss 60 Modeling and Analysis of the Interaction of Police and Criminal Populations: http://www.gphjournal.org/index.php/m/article/view/495 <p><em>The rise of the criminal population in the United States has brought concern, debate, and contention to the modern world. The strategies of criminals are national and are no longer concentrated in a particular location. In this paper, we present a dynamical model of the interaction between criminal and police populations. 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 presents the mathematical model and analyzes the situation for current population levels. Part three analyzes the situation when an additional number of members are introduced into the criminal population. Part four analyzes the scenario where the criminal population is reduced. Part five presents conclusions.</em></p> Art Kazmierczak ##submission.copyrightStatement## http://creativecommons.org/licenses/by-nc-nd/4.0 http://www.gphjournal.org/index.php/m/article/view/495 Thu, 21 Oct 2021 09:22:25 +0000