Estudo da descontinuidade para um modelo populacional

Abstract

In this work we present some qualitative and geometry aspects of Planar Non-smooth Dynamical Systems theory, generally called as Planar Filippov Systems, making an analysis of local and global bifurcations of codimension one. With these guidelines defined, westudy the long-term behavior of population communities described by planar models nonsmooth, used often to describe populations with selective switching between alternative habitats, diets, or to mimic the evolution of an exploited resource where the exploitation of species is prohibited when the resource is below a prescribed threshold. The studyis carried out by the bifurcations analysis of one model with respect to two parameters: exploitation and protection of interacting populations.