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具有时滞的微生物连续培养动力系统
Dynamic system for micro-organism in continuous culture with time delay
【摘要】 讨论了具有时滞的微生物连续培养动力系统模型的稳定性和Hopf分支.应用Hopf分支理论和泛函微分方程方法研究了该模型的线性稳定性和局部Hopf分支,且通过数值模拟验证结论的有效性.
【Abstract】 The stability and Hopf bifurcation of model with time delay of micro-organisms continuous culture were studied. By applying the theory of Hopf bifurcation and functional differential equation method,the linear stability of the model and the local Hopf bifurcation was discussed. The numerical simulation shows the effectiveness of the conclusion.
【关键词】 微生物连续培养模型;
时滞;
稳定性;
Hopf分支;
【Key words】 micro-organisms continuous culture; time delay; stability; Hopf bifurcation;
【Key words】 micro-organisms continuous culture; time delay; stability; Hopf bifurcation;
- 【文献出处】 哈尔滨商业大学学报(自然科学版) ,Journal of Harbin University of Commerce(Natural Sciences Edition) , 编辑部邮箱 ,2017年02期
- 【分类号】O175
- 【被引频次】2
- 【下载频次】69