The Effect of Continuous and Pulse Input Nutrient on a Lake Model
The Effect of Continuous and Pulse Input Nutrient on a Lake Model
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DOI：
10.1155/2014/462946
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发表时间：
2014-05
期刊：
影响因子：
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通讯作者：
Yongfeng Li;Dongliang Xie;Jing'an Cui
中科院分区：
文献类型：
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作者：
Yongfeng Li;Dongliang Xie;Jing'an Cui
在水环境中，考虑了一个由营养物质、浮游植物和浮游动物组成的数学模型，其中浮游动物的排泄被认为是营养物质的来源之一。研究了外源限制性营养物质的输入速率对藻华控制的影响。首先，我们连续考虑输入限制养分，得到系统存在两个边界平衡点，并用稳定性分析的方法分析正平衡点的存在性，得到平衡点稳定的条件。然后，我们考虑了冲动地限制营养物质的投入。得到了边界周期解的精确表达式和周期解稳定的条件。我们还考虑了温度对系统的影响，并以太湖为例给出了一个模型。最后，我们给出了数值模拟结果，并解释了输入限制营养物质对控制湖泊水华的影响。
In an aquatic environment, a mathematical model consisting of nutrient, phytoplankton, and zooplankton has been considered, where excretion of zooplankton is considered as one of the sources of nutrient. We investigate the effect of the input rate of the limiting nutrient from outside on controlling algal bloom. First, we consider input limiting nutrient continuously, obtain the system has two boundary equilibria, and analyze the existence of the positive equilibrium by means of stability analysis, we get conditions for the stability of the equilibria. Then, we consider input limiting nutrient impulsively. We get the exact expression of the boundary periodic solution and obtain the condition for the stability of the periodic boundary solution. We also consider the effect of temperature on the system and give a model of Taihu Lake as an example. Finally, we give numerical simulation of our results and explain the effect of input limiting nutrient on controlling bloom of the lake system.