摘要
以中国农业科学院蔬菜花卉研究所开展的生物试验为研究背景,建立了病原菌诱导黄瓜产生交互保护作用的数学模型,揭示了交互保护作用下病情指数的变化规律,并利用常微分方程定性理论分析了模型的动力学性态,最后通过数值实验进一步验证了交互保护作用效果.合理利用交互保护现象,可以减少农药使用,对于环境保护和食品安全等方面都具有十分重要的意义.
Based on the experimental results received from Chinese Academy of Agricul- tural Sciences, this paper presents mathematical models to study cross protection induced by cucumber pathogens, and the variation of the cucumber disease index under cross protec- tion is revealed. These models are analyzed by applying the qualitative theory of ordinary differential equations. Numerical experiments further validate the cross-protection effect. Ra- tional use of this phenomenon can reduce the use of pesticides, and it has great significance in environmental protection, food safety and other aspects.
出处
《数学的实践与认识》
北大核心
2015年第20期189-196,共8页
Mathematics in Practice and Theory
基金
北京工业职业技术学院科研项目(110551502/034)
关键词
交互保护作用
系统抗病性
生物数学模型
常微分方程定性分析
数值模拟
cross protection
system resistance
biological mathematical models
qualitativeanalysis for ordinary differential equations
numerical simulation
