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《Guangxi Sciences》 2008-01
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Impulsive Differential Equation Model Based on Controlling Cyanobacteria Bloom

XU Wei-jian1,CHEN Lan-sun2(1.Department of Mathematics and Computer Science, Yulin Normal University,Yulin,Guangxi,537000,China;2.Institute of Mathematics, Academy of Mathematics and System Sciences,Beijing,100080,China)  
According to the growth characteristics of algae and based on the non-autonomous growth model with saturated reaction increasing rate, this paper constructs the impulsive control model of cyanobacteria using the method of separately impulsive spraying,and then transforms the model into the impulsive differential system.Furthermore,this paper presents the method of determining the maximum pulse period of the system,and makes use of the numerical simulations to illustrate how to select the algaecide and the times of impulsive spraying in a finite time for controlling the density of the cyanobacteria population to be lower than the economic threshold.
【Fund】: 国家自然科学基金项目(10471117);; 广西教育厅科研项目(200707LX143)资助
【CateGory Index】: X52
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