An iterative scheme to approach the asymptotic behaviour of a Kolmogorov system ∗

In this paper we consider a biological system consisting of several preys and several predators. We study the existence of a global attractor for such a system and obtain an approximation to the model’s solution by means a numerical method. 1 Introduction. In the last few years many papers have been devoted to the dynamics of applied popula-tions to Biology. From a mathematical point of view it’s of a great interest to determine qualitative properties on these differential systems (see [1], [2], [3]) which give information about the behaviour of the solutions, due to the impossibility, in most cases to solve thes