| 城市化进程中人口变化的动力学分析 |
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| 作者单位： | ;1.信阳师范学院工商管理学院;2.信阳师范学院数学与信息科学学院;3.信阳职业技术学院数学与计算机科学系 |
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| 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Logistic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Dulac函数法给出了非平凡周期解的不存在性.
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| 关 键 词： | 有界性 存在性 稳定性 周期解. |
Dynamic Analyses of Population Change in the Process of Urbanization |
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| Affiliation: | ,School of Business Administration,Xinyang Normal University,College of Mathematics and Information Science,Xinyang Normal University,Department of Mathematics and Computer Science,Xinyang Vocational and Technical College |
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| 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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| Keywords: | boundedness existence stability periodic solution |
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