Caos e formação de padrões espaciais em cadeias alimentares de duas e três espécies

TL;DRAbstract

We study the dynamics of ecological populations of predators and preys using two different approaches. The first is a Mean Field approach, in which we assume that the individuals are homogeneously mixed in space, so that they interact with one another with equal probability. In this case the space is not explicitly treated. The second approach considers that the individuals are distributed in space, where they can migrate and interact only with those that are in a given neighborhood of their position. In both models we consider time and space in a discrete manner. We study the dynamics generated by the interaction of two species, a predator and a prey, and also the dynamics of a system with three species, using both models. The mean field model shows the appearance of several types of attractors, including chaotic ones.

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