| 海洋浮游生态系统模型的稳态非线性动力学研究 |
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| 引用本文： | 王洪礼,沈宇航,葛根.海洋浮游生态系统模型的稳态非线性动力学研究[J].海洋通报,2009,28(5). |
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| 作者姓名： | 王洪礼 沈宇航 葛根 |
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| 作者单位： | 天津大学,机械工程学院,天津,300072 |
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| 基金项目： | 国家自然科学基金项目(10772132)资助;;高等学校博士学科点专项科研基金项目(20070056063)资助 |
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| 摘 要： | 以Logistic模型为基础,考虑捕捞行为及其所造成的污染对浮游生物的削弱作用,并考虑浮游生态系统具有一定的自净能力,建立了一个新的海洋浮游生态系统非线性动力学模型。分析了模型的非线性动力学特性,并得出了模型的稳定性条件和发生Hopf分岔条件,在此基础上,深入分析了捕捞强度参数的变化对系统稳态的影响,并且用数值模拟验证了理论分析结果的正确性。
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| 关 键 词： | 海洋浮游生态系统 非线性 稳定性 Hopf分岔 |
Nonlinear dynamical research of the steady of marine planktonic ecosystem's model |
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| WANG Hong-li,SHEN Yu-hang,GE Gen.Nonlinear dynamical research of the steady of marine planktonic ecosystem's model[J].Marine Science Bulletin,2009,28(5). |
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| Authors: | WANG Hong-li SHEN Yu-hang GE Gen |
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| Institution: | School of Mechanical Engineering;Tianjin University;Tianjin 300072;China |
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| Abstract: | A new nonlinear dynamical model of marine planktonic ecosystem which is based on Logistic model is proposed.The weakening effect to the plankton which is caused by catching and pollution and the self-purification capacity of the marine planktonic ecosystem are both considered in this model.After analyzing the nonlinear dynamical property of the model, the conditions of stability and the Hopf bifurcation of the model are obtained.Further more, the influence of catching intensity parameter changes on marine p... |
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| Keywords: | Marine planktonic ecosystem Nonlinear dynamics Stability Hopf bifurcation |
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