带时滞的微生物培养模型的绝灭平衡点稳定性分析

讨论单一微生物种群利用两种营养的微生物培养模型．该模型的主要特点是引入了种群从吸收营养到营养被转化为生物量这段时滞．首先，通过线性化方法分析了绝灭平衡点的局部稳定性．再以Ｒａｚｕｍｉｋｈｉｎ方法为基础，得到了绝灭平衡点全局渐近稳定的充分条件．

营养再生的双营养恒化器模型的全局稳定性

讨论了一类单种群双营养的恒化器模型,得到了绝灭平衡点和幸存平衡点全局稳定的充分条件.

Global Asymptotically Stable of a Generalized Discrete Ricker Competition System

The purpose of this article is to investigate the sufficient conditions for the global asymptotic stability of one equilibrium point of a generalized Ricker competition system,……which appears as a model for dynamics with one extinct species, by applying the technique of average functions and the new principle of competitive exclusion.