| 海洋生态系统动力学模型的稳定性和Hopf分岔研究 |
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| 引用本文： | 石洪华,胡龙,方国洪,魏泽勋,沈程程,刘永志.海洋生态系统动力学模型的稳定性和Hopf分岔研究[J].海洋学报(英文版),2016,35(4):124-132. |
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| 作者姓名： | 石洪华 胡龙 方国洪 魏泽勋 沈程程 刘永志 |
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| 作者单位： | 国家海洋局第一海洋研究所, 青岛 266061, 中国,山东大学数学学院, 济南 250100, 中国,国家海洋局第一海洋研究所, 青岛 266061, 中国,国家海洋局第一海洋研究所, 青岛 266061, 中国,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,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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| 基金项目： | The National Natural Science Foundation of China under contract Nos 41206111 and 41206112. |
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| 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。
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| 关 键 词： | 海洋生态系统 质量守恒 NPZD 稳定性 Hopf分岔 |
| 收稿时间： | 2015/7/20 0:00:00 |
| 修稿时间： | 2015/9/21 0:00:00 |
Research on stability and Hopf bifurcation of marine ecosystem dynamics models |
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| SHI Honghu,HU Long,FANG Guohong,WEI Zexun,SHEN Chengcheng and LIU Yongzhi.Research on stability and Hopf bifurcation of marine ecosystem dynamics models[J].Acta Oceanologica Sinica,2016,35(4):124-132. |
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| Authors: | SHI Honghu HU Long FANG Guohong WEI Zexun SHEN Chengcheng and LIU Yongzhi |
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| Institution: | 1.First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China2.School of Mathematics, Shandong University, Jinan 250100, China3.First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China;College of Environmental Science and Engineering, Ocean University of China, Qingdao 266100, China4.Key Laboratory of Physical Oceanography, Ocean University of China, Qingdao 266003, China |
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| Abstract: | 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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| Keywords: | marine ecosystem mass-conservative NPZD stability Hopf bifurcation |
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