多物种复合种群捕食量的数学模型及在褐稻虱数量预测中的应用

MATHEMATICAL MODEL FOR PREDATION OF NATURAL ENEMY COMPLEX AND ITS APPLICATION TO FORE- CASTING POPULATION OF THE BROWN PLANTHO- PPER (NILAPARVATA LUGENS STAL)

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.