| 赤潮藻类模型的非线性随机稳定性研究 |
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| 引用本文： | 王洪礼,许佳,许晖,郭龙.赤潮藻类模型的非线性随机稳定性研究[J].青岛大学学报(自然科学版),2005,18(3):30-32,44. |
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| 作者姓名： | 王洪礼 许佳 许晖 郭龙 |
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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： | 国家自然科学基金资助项目（10472077）和博士点基金项目（20040056041）的资助 |
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| 摘 要： | 基于营养盐、浮游植物之间的食物链关系,利用生物生长的生化机理,并考虑到洋流、气压、海风、水温等随机因素的影响,建立了营养盐–自养浮游植物相互作用的随机动力学模型.运用随机平均法和最大Lyapunov指数法并结合现代非线性动力学理论,对模型解的非线性随机动力学稳定性进行了分析.结果表明,随机因素的影响可能是很大的,甚至决定解的稳定性.
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| 关 键 词： | 赤潮 Lyapunov指数 非线性 随机动力学 稳定性 |
| 文章编号： | 1006-1037（2005）03-0030-03 |
| 收稿时间： | 2005-04-29 |
| 修稿时间： | 2005-04-29 |
Stochastic Stability Behaviors Analysis in a Nonlinear Harmful Algal Model |
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| WANG Hong-li,XU Jia,XU Hui,GUO long.Stochastic Stability Behaviors Analysis in a Nonlinear Harmful Algal Model[J].Journal of Qingdao University(Natural Science Edition),2005,18(3):30-32,44. |
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| Authors: | WANG Hong-li XU Jia XU Hui GUO long |
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| Institution: | School of Mechanical Engineering, Tianjin University, Tianjin 300072, China |
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| Abstract: | Based on food chain relationship of nutrition - autotrophy, considering biochemistry mechanism of biology growth and the infection of ocean stream, air pressure, gale, water temperature etc, a dynamical of stochastic model considering the relationship of nutrition - autotrophy is set up, the nonlinear stochastic dynamical stability of the model solution is analyzed by using stochastic average method ,max Lyapunov exponent method and considering modern nonlinear dynamical theory. The results indicate that the effects of stochastic factors may be prodigious even determine the stability of the solution. |
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| Keywords: | HABs lyapunov exponent nonlinear stochastic dynamics stability |
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