稻田多种蜘蛛对褐飞虱(Nilaparvata lugens)捕食量的数学模型及关联度研究

应用灰色系统理论研究了4种蜘蛛(拟水狼蛛、食虫瘤胸蛛、粽管巢蛛、菱头跳蛛)与褐飞虱共存系统捕食量的数学模型.对此模型的分析可以了解各天敌不同数量或者密度与褐飞虱不同密度组合下对褐飞虱捕食量的影响.应用该模型还可以预测相应时期的捕食量大小,所得预测值与实际值几乎一致.同时利用关联度来分析了系统中对褐飞虱捕食量影响最大的因素以及各蜘蛛与褐飞虱捕食量关联程度的大小.

Studies on a mathematical model and relational grade for predation of several spiders to the brown planthopper in paddy-field

A mathematical model describing a coexistence system which contains brown planthopper( Nilaparvata lugens )and four spiders( Pirata subpiraticus,Oedotheorax insecticeps,Clubiona japonicola,Bianor hotingchiehi) was studied with the theories of grey system.Effects of the biomass or density combinatioins of these species on the density of prey were analysed through the model.The predatory biomass was forecasted in the corresponding tiimes.The result showed that the forecasting value was similary to the actural value.Meanwhile,the most important factor and the relational extent between these species and the predatory numbers were also considered by the relational grade.