| 廖茂新,邓兴颖,张露露.一类具有时滞的非线性物价模型的稳定性与Hopf分支[J].南华大学学报(自然科学版),2021,(1):52~55.[LIAO Maoxin,DENG Xingying,ZHANG Lulu.Stability and Hopf Bifurcation of a Class of Nonlinear Price Models with Time Delay[J].Journal of University of South China(Science and Technology),2021,(1):52~55.] |
| 一类具有时滞的非线性物价模型的稳定性与Hopf分支 |
| Stability and Hopf Bifurcation of a Class of Nonlinear Price Models with Time Delay |
| 投稿时间：2020-06-29 |
| DOI：10. 19431/ j. cnki. 1673-0062. 2021. 01. 008 |
| 中文关键词: HOPF分支 稳定性 时滞 物价模型 |
| 英文关键词:Hopfbifurcation stability timedelay the price model |
| 基金项目:湖南省自然科学基金项目(2020JJ4516);湖南省教育厅重点项目(17A181) |
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| 中文摘要: |
| 结合市场经济实际情况,对一类关于物价的非线性微分方程模型进行了修正,并研究了时滞对该模型动力学行为的影响。利用泛函微分方程稳定性理论和HOPF分支理论得到正平衡点局部稳定的条件,给出了出现HOPF分支存在的充分条件,并通过数值模拟,验证理论分析的结果。 |
| 英文摘要: |
| In this paper, a class of nonlinear differential equation model about price is modified and the influence of time delay on the dynamic behavior of the model is studied.By using the stability theory of functional differential equation and Hopf bifurcation theory, the conditions for local stability of positive equilibrium point are obtained, and sufficient conditions for Hopf bifurcation are given.The results of theoretical analysis are verified by numerical simulation. |
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