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The Criteria for Globally Stable Equilibrium in n-Dimensional Lotka–Volterra Systems |
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| Authors: | Xue-Zhi Li Chun-Lei Tang Xin-Hua Ji |
| Institution: | a Department of Mathematics, Xinyang Teachers College, Henan, 464000, People's Republic of China;b Institute of Systems Science, Academia Sinica, Beijing, 100080, People's Republic of China;c Department of Mathematics, Southwest Normal University, Chongqing, 630715, People's Republic of China;d Institute of Mathematics, Academia Sinica, Beijing, 100080, People's Republic of China |
| Abstract: | 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. |
| Keywords: | equilibrium point global asymptotic stability n-dimensional Lotka– Volterra system |
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