The Pacific Alliance is an economic and development initiative where four Latin American nations: Chile, Colombia, Mexico, and Peru, seek the growth in the economics of the four nations. It is in this way that agriculture plays an important role in this union since it is one of the greatest sources of income in each nation. However, the internal conflict that afflicts each country generates stagnation in economic growth, affecting its exports. Forced displacement is one of the main consequences of the internal conflict within the countries that make up the Pacific Alliance. Therefore, a model of Population Dynamics System P (PDP System) is proposed, viewing this phenomenon as a classic predator-prey model, where one ‘predator’ resources that in this case are the territories, and in this struggle one species predominates over the other. The simulations showed how the populations are being affected and how the analogy between the social conflict described above and the Lokta-Volterra model can be modelled with a topic that has always been considered to be social. Although much more complex scenarios can be simulated by adding other variables, this study is an approach that yields important results that can be considered in other studies