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Teresa Faria 《Journal of Dynamics and Differential Equations》2010,22(2):299-324
The paper deals with the global stability of a saturated equilibrium \({x^{\ast} = (x_1^{\ast}, \ldots, x_n^{\ast}) \ge 0}\) for a multi-species Lotka–Volterra model with infinite delay. We assume the existence of non-delayed diagonal intraspecific competition terms, but relax the usual conditions of dominance which permit to control the infinite delay effect. Our results also apply to non-autonomous Lotka–Volterra systems without saturated equilibria, by studying the stability of their limiting equations. Some known results in the literature are improved and generalized. 相似文献