The Criteria for Globally Stable Equilibrium in n-Dimensional Lotka-Volterra Systems

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