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.
References
1. Романов М. Ф., Федоров М. П. Математические модели в экологии. СПб.: Иван Федоров, 2003. 240 с.
2. Адамчук А.С., Амироков С.Р., Притула Т.К. Исследование поведения двух фирм с помощью вольтеровской модели взаимодействия сообществ // Вестник Северо-Кавказского федерального универсистета. 2014. №1(40). С. 9-13.
Review
For citations:
Pritula T.K. INVESTIGATION OF THE STABILITY OF A FOUR SPECIES MODEL INTERACTION BRINGING TO SYSTEMS OF TWO EQUATIONS. Science. Innovations. Technologies. 2014;(3):17-23. (In Russ.)
Views:
39
Email this article 