一类非线性离散人口模型的稳定性和振动性

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摘要本文讨论了非线性差分方程ｘｎ＋１＝ｘｎ／１－ａ－ｂｘｎ－ｋ＋ｃｘ＾２ｎ－ｋ平衡点的稳定性，并获得了此方程在条件ａ∈（１，∞），ｂ∈（－∞，＋∞）＝Ｒ，ｃ∈（０，∞）下其正解的渐近性质及其关于正平衡点振动的充分条件，且当Ｋ＝０时建立了正平衡点渐近稳定的充分必要性准则。’

作者彭名书黄立宏

机构地区北京理工大学应用数学系湖南大学应用数学系

出处《非线性动力学学报》 1998年第3期251-256,共6页

关键词振动稳定性非线性离散系统人口模型差分方程

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非线性动力学学报

1998年第3期

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