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

[摘要] In this paper, a set of sufficient conditions are obtained for the existence of a globally asymptotically stable equilibrium point in various submodels 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 multispecies. The criteria in this paper are in explicit forms of the parameters and thus are easily verifiable. (C) 1999 Academic Press.

[发布日期] 1999-12-15

[关键词] equilibrium point;global asymptotic stability;n-dimensional Lotka-Volterra system