| 摘要: |
| 基于有连续注入营养基的培养室内微生物的连续培养模式，提出一种描述在封闭环境中赤潮发生过程的藻类生长的营养动力学模型。对4种不同形式的营养增长函数，讨论了营养物质增长速度对藻类生长的影响效果。利用微分方程定性分析方法，探讨了一次赤潮发生过程4个阶段的数学模拟问题，并给出具体划分4个阶段的数值计算方案。 |
| 关键词: 赤潮 发生过程 营养动力学 数学模拟 |
| DOI： |
| 分类号: |
| 基金项目:国家自然科学基金资助项目。9389008号 |
|
| MATHEMATICAL SIMULATION OF RED TIDE OCCURRENCE IN A CLOSED ENVIRONMENT |
|
WANG Shou-song,LIU Zi-huang,XIA Zong-wan,YU Bin
|
|
1.Department of Mathemarics Zhongshan University Guangzhou 510275;2.South China
Sea Branch, State Oceanic Administration, Guangzhou, 510300
|
| Abstract: |
| Based on a continuous cultivation model of microbes with continuous nutrient injection in a nutrition box, a nutrient dynamics model describing the process of red tide occurrence in a closed environment is presented as follows:
dE/dt=r1[c1(E0-E)-ag(E)S]
dS/dt=r2[-(gamma+c2)S+epsilon ag(E)S]
where E is the concentration of nutrient and S is the density of algae. Four kinds of nutrient growth functions are analyzed and the different effects of nutrient growth speed on the red tide alga growth are compared.
This mathematical simulation method describing the four stages of the whole process of red tide occurrence is discussed by using the qualitative analysis method of differential equations. The numerical computation scheme for differentiation of these stages is as follows: Draw the curves of dE/dt=0 and dS/dt=0, which differentiate the nutrient-alga curve plot into four areas; from the cross points of those two curves and the nutrient-alga curve, the start time for those four stages can be determined. |
| Key words: Red tide, Processes of occurrence, Nutrient dynamics, Mathematical modeling |
