Modeling and Analysis of the Interaction of Neutral and Protester Populations: A Competing Species Model
Abstract
The rise of radicalized terrorist groups, such as the Islamic State of Iraq and Syria (ISIS), throughout the world, have brought concern, debate, and contention to the modern world. The recruitment strategies of terrorist networks are global and are no longer concentrated in a particular location. In this paper, we present a dynamical model of the interaction and recruitment between a non-radicalized or neutral and radicalized population. 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 two parts. Part one analyzes the current populations. Part two analyzes the situation when an additional number of radicals are introduced into the radicalized population.
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