Mathematical Modeling In The Convivence Of Species

In this work the different forms of coexistence in the open nature are indicated, emphasizing in the case of a pair of species where one is the prey and the other the predator. A model is presented and the direction field of the trajectories is studied, but the cyclical form of these trajectories is later seen computationally; the stability of the equilibrium positions is studied, transforming the system into the normal form to arrive at the conclusions of the future behavior of the studied species