性信息素诱捕下害虫Logistic增长及经济阈值数学模型  

Mathematical model of insect Logistic increasing and economic threshold based on sex pheromone trap

作　　者：赵志国[1] 荣二花[1] 赵志红[2] 孔维娜 张金桐[1] 马瑞燕[1] 

机构地区：[1]山西农业大学农学院,太谷030801 [2]北京科技大学数理学院,北京100083 [3]山西农业科学院植物保护研究所,太原030031

出　　处：《生态学报》2013年第16期5008-5016,共9页Acta Ecologica Sinica

基　　金：国家公益性行性行业(农业)科研专项(201103024);山西农业大学创新基金(2010007)

摘　　要：为更准确地对性信息素监测下田间害虫的发生量进行测报并指导有效防治,建立了基于性信息诱捕下种群的Logistic增长模型,并与通常诱捕模式进行了比较分析。在性信息素诱捕环境下利用种群增长平衡点获得诱捕强度(E)与害虫的自然增长率(r)的数学关系,建立了诱捕量与田间害虫发生虫量的数学模型,明确了性信息素诱捕与害虫自然增长平衡时的各变量间的关系,同时根据害虫发生规律研究了性信息素诱捕时的防治害虫的经济阈值(Es)模型。以性信息素诱捕梨小食心虫为实例,通过田间调查梨小食心虫成虫的发生,拟合Logistic模型并测定3种性信息诱捕强度下梨小食心虫的自然增长率,据模型求解不同性信息素诱捕下的诱捕强度(E),确定了防控梨小食心虫的经济阈值(Es),明确达到经济阈值时的持续诱捕数量。本模型为有效测报和诱捕防治害虫提供了基础理论与依据。The research on proper,accurate observation and monitoring pest population is of great significance in forecast and control pests based on sex pheromone trap.Construction of mathematical models by practical observation,measurement in fields and calculation is able to play an important role in the aspect concerned by many.Given this situation,in this study,occurrence and real-time monitoring of population dynamics of pests have been accomplished by application of production from sex pheromone of insects.According to the characteristics of sex pheromone trap of male insects,combined with the Logistic differential equation and based on the balanced point between sex pheromone trap and increase of population,relationships among several values were analyzed and compared with those under other common trappings.The values were as following： trapping intensity（E） at the time when a population was increasing under the condition of sex pheromone trap,the natural increasing rate of pests（r）,the trapping amount（x（t））,the pest amount in fields（N）.The maximal consistent trapping amount when the balanced point was reached was articulated [hmax＊=rN 41-E＊],and at this moment,the relationship between the best trapping intensity（E＊） and the natural increasing rate of pest（r） were in accord with the formula of E＊=r 1＋r.At the same time,in terms of the characteristics of harms of pests,on the foundation of analysis of the substantial field pest amount coefficient α=SEF（SE meant the survival rate of larvae,F stood for the maximal reproductive vitality of each female pest,was the ratio between the maximal egg amount and the substantial egg amount）,the expense of forecast and control utilizing sex pheromone trap and increasing output were analyzed.When λ[λ=2r1-c pαN＋1]was assumed as the regulating coefficient（p meant the economic damage caused by larvae,its unit should be RMB Yuan）,the following values were definite,the trapping intensity at the time of the highest profit was ER=λ-�

关 键 词：性信息素 诱捕强度 经济阈值 LOGISTIC 数学模型 

分 类 号：S433[农业科学—农业昆虫与害虫防治]