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叶凯莉, 王秋燕, 宋 强. 城市化进程中人口变化的动力学分析[J]. 信阳师范学院学报(自然科学版), 2016, 29(1): 9-12. DOI: 10.3969/j.issn.1003-0972.2016.01.003
引用本文: 叶凯莉, 王秋燕, 宋 强. 城市化进程中人口变化的动力学分析[J]. 信阳师范学院学报(自然科学版), 2016, 29(1): 9-12. DOI: 10.3969/j.issn.1003-0972.2016.01.003
shu
Ye Kaili , Wang Qiuyan , Song Qian . Dynamic Analyses of Population Change in the Process of Urbanization[J]. Journal of Xinyang Normal University (Natural Science Edition), 2016, 29(1): 9-12. DOI: 10.3969/j.issn.1003-0972.2016.01.003
Citation: Ye Kaili , Wang Qiuyan , Song Qian . Dynamic Analyses of Population Change in the Process of Urbanization[J]. Journal of Xinyang Normal University (Natural Science Edition), 2016, 29(1): 9-12. DOI: 10.3969/j.issn.1003-0972.2016.01.003
shu

城市化进程中人口变化的动力学分析

Dynamic Analyses of Population Change in the Process of Urbanization

    摘要
  • 摘要: 为了研究城市化进程中城市和农村人口的变化情况, 建立了一个 L o g i s t i c 微分方程模型, 讨论了该模型解的有界性、 平衡点的存在性和稳定性, 并利用 D u l a c 函数法给出了非平凡周期解的不存在性 .

     

    Abstract: To study the changes between the urban population and the rural population in the process of urbanization, a Logistic differential equation model was formulated. The boundedness of solution,the existence and stability of equilibria were investigated and the nonexistence of nontrivial positive periodic solution was studied using Dulac function method.

     

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