Dissertação
Modelos de redes de mapas acoplados para interações herbívoro-predador
Fecha
2013-04-12Registro en:
PARIGI, Aline da Rosa. Business networking coupled maps for interactions herbivore-predator. 2013. 95 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Santa Maria, Santa Maria, 2013.
Autor
Parigi, Aline da Rosa
Institución
Resumen
In this work we propose a discrete predator-prey model with the purpose of analyzing the
spatio-temporal dynamics of herbivorous and their predators. For that, we explicitly consider
the dispersion of both species through Coupled Map Lattice models, that is, systems of
difference equations coupled by dispersal. We suppose that the prey population presents
density-dependent growth and predators, Holling type II functional response. In order to
analyze the effects of prey-taxis showed by predators, which means, that predators direct their
movement to regions of high prey densities, we computationally implemented our model for
different movement schemes: difusion for both species, immobile prey and taxis for predators
and, difusion for prey and taxis for predators. We conclude that the dispersal behavior of
predators and preys plays a crucial role on their spatio-temporal dynamics and hence cannot
be omitted when modeling predator-prey interactions.