| SHI Honghua,HU Long,FANG Guohong,WEI Zexun,SHEN Chengcheng,LIU Yongzhi.Research on stability and Hopf bifurcation of marine ecosystem dynamics models[J].Acta Oceanologica Sinica,2016,35(4):124-132 |
| 海洋生态系统动力学模型的稳定性和Hopf分岔研究 |
| Research on stability and Hopf bifurcation of marine ecosystem dynamics models |
| 投稿时间：2015-07-20 修订日期：2015-09-21 |
| DOI：10.1007/s13131-016-0809-x |
| 中文关键词: 海洋生态系统 质量守恒 NPZD 稳定性 Hopf分岔 |
| 英文关键词:marine ecosystem mass-conservative NPZD stability Hopf bifurcation |
| 基金项目:The National Natural Science Foundation of China under contract Nos 41206111 and 41206112. |
| 作者 | 单位 | E-mail | | 石洪华 | 国家海洋局第一海洋研究所, 青岛 266061, 中国 | shihonghua@fio.org.cn | | 胡龙 | 山东大学数学学院, 济南 250100, 中国 | | | 方国洪 | 国家海洋局第一海洋研究所, 青岛 266061, 中国 | | | 魏泽勋 | 国家海洋局第一海洋研究所, 青岛 266061, 中国 | | | 沈程程 | 国家海洋局第一海洋研究所, 青岛 266061, 中国
中国海洋大学环境科学与工程学院, 青岛 266100, 中国 | | | 刘永志 | 中国海洋大学物理海洋教育部重点实验室, 青岛 266103, 中国 | |
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| 摘要点击次数: 2020 |
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| 中文摘要: |
| 海洋生态系统动力学模型的可预测性是模型应用的重要限制因子之一,而模型稳定性则是模型可预测性的前提。本文提出了一个基于降维理论的方法,用于研究质量守恒的营养盐-浮游植物-浮游动物-碎屑(NPZD)这类海洋生态系统动力学模型的稳定性和Hopf分岔。研究结果显示,NPZD模型的非奇异平衡点是稳定的,而当模型参数在临界值附近变动时可能会发生Hopf分岔。同时,本文采用数值模拟的方法对该理论分析结果进行了实例验证。本文提出的基于降维理论的方法能够从理论上有效分析质量守恒系统的稳定性问题和Hopf分岔。 |
| 英文摘要: |
| The predictability of marine ecosystem dynamics models is one of the most vital factors to limit their practical applications, of which the stability is the fundamental condition. In order to discuss the stability and Hopf bifurcation of marine ecosystem dynamics models, an approach based on a theorem termed dimension reduction was proposed and further applied in the mass-conservative nutrient-phytoplankton-zooplankton-detritus(NPZD) model in this paper. Results showed that the nonsingular equilibrium point of NPZD model was analytically stable in use of the dimension reduction theorem and the Hopf bifurcation might occur when model parameters changed along the threshold values. The analytical results of the NPZD model were further verified by numerical simulation in this study. It can be concluded that this approach based on the dimension reduction theorem is well applicable to the theoretical analysis of a kind of stability problems and Hopf bifurcation of mass-conservative systems. |
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