ANALYSIS OF STABILITY OF A FOUR-DIMENSIONAL MODEL OF TRANS-SPECIES COMPETITION BY LYAPUNOV’S FIRST METHOD

Abstract

We report the analysis of stability for the population dynamics model of four competitors. The model represents an autonomous system of ordinary nonlinear differential equations. The equilibrium states of the system under study are found by means of a computational package. The conditions of stability are obtained on the basis of Lyapunov’s first method. The results of the study can be used for solving stability problems of nonlinear models of the population dynamics.