INVESTIGATION OF THE STABILITY OF A FOUR SPECIES MODEL INTERACTION BRINGING TO SYSTEMS OF TWO EQUATIONS

Abstract

We propose a method to study the problem of stability of the structure of four interacting communities through information systems of two nonlinear differential equations of Lotka-Volterra, if the previously found the coordinates of the stationary points. Depth case check the stability of the stationary points with positive coordinates, when all community co-exist. The proposed algorithm and the program of research on the stability of the stationary state with non-zero coordinates of a mathematical model of the dynamics of four interacting communities.

Keywords

• алгоритм
• программа
• модель
• устойчивость
• дифференциальные уравнения
• стационарные состояния
• algorithm
• program
• model
• stability
• differential equations
• stationary states