基于Malthus模型的温室蔬菜杀虫剂合理使用方案

摘要

[Objective] The aim was to study reasonable use program for greenhouse vegetables insecticides. [Method] By applying the relating knowledge on differential equation and mathematical analysis based on Malthus mathematical model, a economical and effective insecticides use model was established . [ Result ] To simplify the model, multiplex linear programming problem of aperiodic multiple usage pesticide was changed into two binary nonlinear programming problem of periodically using pesticide, such that the model solution could be carried out directly by mathematical software. [Conclusion] The mode had popularization using value.%[目的]研究温室蔬菜杀虫剂合理使用方案.[方法]基于Malthus教学模型,运用微分方程和数学分析的有关知识建立了一种经济有效的杀虫剂使用模型.[结果]为了简化模型,将所得到的不定期多次使用杀虫药的多元非线性规划问题转化成周期性使用杀虫药的2个二元非线性规划问题,使模型求解可以直接采用数学软件来实现.[结论]该模型具有较强的推广应用价值.