On the Impulsive Perturbation and Bifurcation of Solutions for a Model of Chemostat With Variable Yield
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摘要: 提出和研究了一个具有变消耗率和非同步脉冲的恒化器模型,并且得到了一组像阈值一样的条件来确保系统半平凡周期解的全局渐稳性,系统的持久性以及出现非平凡分支周期解.最后,一些数值模拟体现了该模型的动力学性态.Abstract: A new model of a chemostat with variable yield and non-synchronous impulsive effect was proposed and investigated.It is observed that a set of threshold-like conditions guaranteeing the global stability of semi-trivial periodic solution,the permanence of the system and then a bifurcation of a nontrivial solution arises.Finally,the dynamics of the model was also illustrated by means of a few numerical experiments and computational simulations.
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Key words:
- chemostat /
- impulsive differential equation /
- permanence /
- extinction /
- fixed point approach /
- bifurcation
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