Dynamics of a Certain Discrete Competitive Model

Systems of difference equations have very rich dynamics, which are sometimes richer than their analogues in continuous situations. We will investigate the local dynamics of such a system, using the theory based on the observation of eigenvalues, as well as the bifurcation theory. The research of dynamic systems and their behavior is important because of their wide application, starting from everyday life, then ecology, biology, engineering and application in engineering, such as traffic flow modeling, which can result in a reduction of pollution. Although these systems are most often linked to populations and their predators, because historically there were some first applications.