封闭环境中赤潮发生过程的数学模纵

MATHEMATICAL SIMULATION OF RED TIDE OCCURRENCE IN A CLOSED ENVIRONMENT

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。

Based on a continuous cultivation model of microbes with continuous nutrient injectionin a nutrition box, a nutrient dynamics modl describing the process of red tide occurrence in aclosed environmnt is presented as follows:where E is the concentration of nutrient and S is the density of algas. Four kinds of nutrient growthfunctions are analysed and the different effects of nutrient growth speed on the red tide alga growthare compared.Ths mathmatical simulation method describing the four stages of the whole process of redtide occurrence is discussed by using the qualitative analysis method of differential equations. Thenumrical computation scheme for differentiation of these stages is as folows: Draw r the curves of = 0 and =0, which differentiate the nutrient-alga curve plot into four areas; from the crosspoints of those two curves and the nutrient-alga curve, the start time for those four stages can bedetermined.