The global solutions for a food chain chemostat model are discussed. Firstly, the uniform boundedness of solutions for this model is analyzed. Then, by using the linearization and Lyapunov function,the local and global stability of the nonnegative equilibrium points for the model is studied.%讨论一类含1个食饵和1个捕食者种群的恒化器模型的整体解.分析该模型解的一致有界性,运用线性化方法和Lyapunov函数方法研究该模型非负平衡点的局部渐近稳定性和全局渐近稳定性.
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