| 一类非线性人口系统的稳定性和振荡 |
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| 引用本文： | 郭宝珠.一类非线性人口系统的稳定性和振荡[J].系统科学与数学,1988,8(4):324-332. |
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| 作者姓名： | 郭宝珠 |
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| 作者单位： | 北京信息与控制研究所，北京信息与控制研究所，陕西财经学院 西安 |
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| 摘 要： | 周期现象和振荡是非保守系统中存在着的极为普遍的现象,K.E.Swick 和 M.E.Gurtin & R.c.MacCamy 就几种描述生态演化的非线性动力模型讨论了系统周期解的存在性.由于周期解是系统的一种特殊的平衡态,对这种现象的研究无论从理论上还是实践上都有明显的意义,本文的目的就是在研究一类非线性人口发展方程稳定性的
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ASYMPTOTIC ANALYSIS AND OSCILLATORY PROPERTIES OF THE LOGISTSC MODEL OF AGE-DEPENDENT POPULATION GROWTH |
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| GUO BAO-BHU,YUAN JIAN-HUA,ZHANG SHENG-HAI.ASYMPTOTIC ANALYSIS AND OSCILLATORY PROPERTIES OF THE LOGISTSC MODEL OF AGE-DEPENDENT POPULATION GROWTH[J].Journal of Systems Science and Mathematical Sciences,1988,8(4):324-332. |
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| Authors: | GUO BAO-BHU YUAN JIAN-HUA ZHANG SHENG-HAI |
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| Institution: | (1)Beijing Institute of Information and Control;(2)Beijing Institute of Information and Control;(3)Shaanxi Institute of Finance and Econormics,Xian |
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| Abstract: | We study the asymptotic and oscillatory properties of the logistic model of age-dependentpopulation dynamics.It is shown that under some conditions on the logistic term the limit ofthe population state exists when time goes to infinity.An interesting result for the linearcase is also proved:if the total population converges to an equilibrium it will do so in an oscilla-tory fashion. |
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