水华蓝藻生消的生物数学理论及其应用  

The biomathematical theory on the bloom andextinction of cyanobateria and its application

作　　者：陈善娜[1] 陈小兰[1] 刘开庆[1] 周丽娟[1] 

机构地区：[1]云南大学生命科学学院,云南昆明650091

出　　处：《云南大学学报（自然科学版）》2005年第2期161-165,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家重点基础研究发展规划课题资助(2002CB412306);云南大学"211工程"二期建设费资助.

摘　　要：首次提出了水华蓝藻的生物数学理论,应用推广的Logistic-Exponential方程,导出了水华蓝藻爆发和强持续生存情况下的个体数变化规律.建立了在磷、氮等环境因子限制下蓝藻个体数的微分方程,证明了关于蓝藻弱持续生存和灭绝条件的2个定理.基于这个理论,提出如何控制水华蓝藻生消的方法和途径.The biomathematical theory on cyanobacteria blooming has been posed first time.Using an expansion of the exponential and logistic equations,under conditions of the blooming and the strong persistence,the laws of the population of cyanobacteria have been derived.The differential equations to describe the population of cyanobacteria under the control of the environmental factors phosphorus and nitrogen has been established and two theorems about the conditions of weak persistence and extinction have been proven.On the basis of the theory,the methods and ways how control the bloom and extinction of cyanobacteria are posed.

关 键 词：水华蓝藻 爆发 灭绝 生物数学 理论 

分 类 号：Q-332[生物学]