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Qualitative Analysis of a ratio-dependent Chemostat Model with Holling-(n+1) Type Functional Response

机译:具有Holling-(n + 1)型功能响应的比率依赖型Chemostat模型的定性分析

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In this paper,the ratio-dependent chemostat model with Holling-(n+l) type functional response is considered.The model develops the Monod model and the ratio-dependent model.By use of the Poincar-Bendixson theory we prove the existence of limit cycle.Detailed qualitative analysis about the global asymptotic stability of its equilibria is carried out by using the Lyapunov-LaSalle invariant principle and the method of Dulac criterion.
机译:本文考虑了具有Holling-(n + 1)型功能响应的比率依赖型恒化器模型。该模型建立了Monod模型和比率依赖型模型。利用Poincar-Bendixson理论,我们证明了利用Lyapunov-LaSalle不变性原理和Dulac准则的方法,对其平衡点的全局渐近稳定性进行了详细的定性分析。

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