Um modelo discreto para interações planta-herbívoro-predador

Abstract

The population dispersion is an important process to be considered when we wish analyze the interactions between populations. Taking into account the range and the way in which the movement takes place makes the model more realistic. Therefore, we propose to analyse a discrete model Plant-Herbivore-Predator, consisting essentially of an herbivore population and a predator population of this insects on a platation, where we consider multiple time scales for the movement and reaction of individuals. The movement behavior of insects includes a movement oriented toward higher density plants and a tendency to aggregate with their conspecifics. Moreover, the predator actively searches for its prey. We observed, for this dynamic, dynamical heterogeneous spatial pattern formation, and stable for higher scales. In ecology the identification of regular structures allows the application of population dispersion models in real situations, such as the biological control of pests.