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LOGARITHMIC COORDINATES IN INVESTIGATION OF SOLUTIONS STABILITY OF LOTKA--VOLTERRA EQUATIONS.

LOGARITHMIC COORDINATES IN INVESTIGATION OF SOLUTIONS STABILITY OF LOTKA--VOLTERRA EQUATIONS.

Authors :
Chernyshenko, V. S.
Belozerov, V. E.
Source :
Naukovi visti NTUU - KPI; 2007, Vol. 2007 Issue 2, p148-153, 6p
Publication Year :
2007

Abstract

The paper is devoted to the investigation of solutions stability of n-dimensional Lotka-Volterra system. The research wouldn't be finished successfully without using logarithmic variables. Only the first orthant was taken into consideration. All conditions were found under which the global stability region belongs to this orthant. It permitted to determine values of the model parameters (parameters of the environment), under which a stable coexistence of the n biological populations is possible, in dependent of their initial members. [ABSTRACT FROM AUTHOR]

Details

Language :
Russian
ISSN :
18100546
Volume :
2007
Issue :
2
Database :
Supplemental Index
Journal :
Naukovi visti NTUU - KPI
Publication Type :
Academic Journal
Accession number :
25128387