The main purpose of this dissertation is to propose and analyze the effects of pursuit and evasion on predator-prey spatiotemporal dynamics. We use a Coupled Map Lattices formulation in which a system of difference equations ...

The main purpose of this dissertation was to analyze the occurrence of two time scales in predator-prey systems. Initially, we proposed two discrete models without spatial structure. The first model considers fast vital ...

In this work we studing a generalized predator-prey system in a spatial domain, in terms of formation. We show parameter, regions where transcritical, Hopf and Turing bifurcations appear are presented, and also some spatial ...