摘要
本文应用二次回归旋转组合设计方法,研究了4种蜘蛛(拟水狼蛛、食虫瘤胸蛛、粽管巢蛛、菱头跳蛛)与褐稻虱共存系统捕食量的数学模型。对捕食量模型的分析可以了解各天敌类群间的相互作用和各类天敌不同数量与褐稻虱不同密度组合下对褐稻虱捕食量的影响。同时建立了各类天敌在田间数量增长的亚模型,应用现代控制论的状态空间分析法建立了褐稻虱的状态方程,用以研究褐稻虱种群数量预测和数量控制。其中系数矩阵以褐稻虱田间生命表数据作为基础,以各虫期数量作为输入向量,以微蛛、狼蛛、管巢蛛、跳蛛4类天敌和褐稻虱数量所建立的捕食量模型构成控制矩阵和控制向量。应用该模型预测褐稻虱数量变化,结果预测值与实测值的增减趋势基本相似。
A mathematical model describing a coexistence system which contains brown planthopper (Nilaparvata lugens) and four spiders (Pirata subpi-raticus, Oedothorax insecticeps, Clubiona japonicola, Bianor hotingchiehi) was studied by rotation composite design of quadratic regression in this paper. Effects of different density combinations of these species on numbers of prey were analysed through the model. Meanwhile, the submodel of several spiders growth in field was constructed and the state equation of the brown planthopper was constructed by state-space approach in order to study forecasting population and control of the pest. In the equation, the survival rate in the life table was taken as a base of the matrix A and the numbers of the pest at different stages taken as the input vector(X(t)),and the model of the numbers of prey by the spider complex treated as a control matrix. The result showed that the trend of increase or decline of the population was similarly to that of actural observation.
出处
《生态学报》
CAS
CSCD
北大核心
1991年第2期139-146,共8页
Acta Ecologica Sinica
关键词
天敌-褐稻虱
捕食量模型
数量预测
natural enemy-brown planthopper population complex, quadratic regression rotation composite design, predation model, population forecasting.
