The criteria for globally stable equilibrium in n-dimensional Lotka-Volterra systems

Citation
Xz. Li et al., The criteria for globally stable equilibrium in n-dimensional Lotka-Volterra systems, J MATH ANAL, 240(2), 1999, pp. 600-606
Citations number
6
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
240
Issue
2
Year of publication
1999
Pages
600 - 606
Database
ISI
SICI code
0022-247X(199912)240:2<600:TCFGSE>2.0.ZU;2-#
Abstract
In this paper, a set of sufficient conditions are obtained for the existenc e of a globally asymptotically stable equilibrium point in various submodel s of the classic n-dimensional Lotka-Volterra system. The submodels are the following systems: competition (cooperative or predator-prey) chain system and competition (cooperative or predator-prey) model between one and multi species. The criteria in this paper are in explicit forms of the parameters and thus are easily verifiable. (C) 1999 Academic Press.