| 有时滞的生物模型的解的振荡性 |
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| 引用本文： | 邹幸福.有时滞的生物模型的解的振荡性[J].中南林业科技大学学报,1990(2). |
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| 作者姓名： | 邹幸福 |
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| 作者单位： | 中南林学院基础课部 |
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| 摘 要： | 本文对两个具有时滞的生物数学模型进行了研究。结果表明:当时滞大到一定程度时,模型的任何非常数解,都绕其平衡状态振荡。从而揭示了具时滞的模型的解与不具时滞的模型的解之间的本质差别。也较好地解释了传统生态学观点不能解释的有关实验结果。将时滞看作为生物种群数量振荡的内在原因,这是对有关传统观点的更新和补充。
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| 关 键 词： | 时滞微分方程 种群密度 振荡性 |
OSCILLATORY BEHAVIOR OF SOLUTIONS OF BIOLOGICAL MODELS WITH TIME DELAYS |
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| Zou Xingfu.OSCILLATORY BEHAVIOR OF SOLUTIONS OF BIOLOGICAL MODELS WITH TIME DELAYS[J].Journal of Central South Forestry University,1990(2). |
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| Authors: | Zou Xingfu |
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| Institution: | Department of General Studies |
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| Abstract: | The oscillatory behavior of solutions of two biological models with time delays has been studied. It is proved that when the delays get lare enough, any non-constant solution of the models oscillates about the equilibriums, and thereby, an essential distinction between models with delays and models without delays is then revealed. This explains to some extent the related laboratory results that can not be explained by the traditional ecological views. Taking the time delays as the intrinsical factor to make the number of population oscillatory is then a reform and complement to the related traditional views. |
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| Keywords: | time delay differential equation population density oscillation |
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