摘要
突变是生物科学的一种基本特性。突变理论是描述这种不连续、不光滑变化现象的数学工具。通过多年研究与观察,总结了农业主要病虫发生危害的突变规律,即:环境条件适宜,病虫危害从稳定安全区进入潜在危害区(不稳定区域),最后突变至稳定危害区;条件不适,病虫危害则从潜在危害区逆转。克服了突变理论在生物学上难以应用的三大困难,即:势函数难以用解析式表达,不易选定合适的控制变量和突变区域难以量化。建立了农业主要病虫发生危害的折叠、尖角突变模型。详细阐述了用突变理论确定突变区域和动态防治指标的方法以及用突变理论对病虫危害进行预测应用的方法。
The catastrophe is a basical character in biology. The catastrophe theory is a mathematical tool, with which the uncontinue and unsmooth variation phenomenon can be described. The catastrophe regularity of some main pest in Agriculture was studied through a great deal observation and analysis in this paper. The method overcome 3 difficulties of application of catastrophe theory to biology, and the method set up the fold catastrophe modle and cusp catastrophe modle, and the forecasting method with catastrophe modle and controlling target were elaborated.
出处
《西北农业学报》
CAS
CSCD
1993年第4期48-52,共5页
Acta Agriculturae Boreali-occidentalis Sinica
基金
杨陵农业科技开发基金
关键词
突变模型
病虫害
农业
危害
Catastrophe theory and application
Catastrophe modle
Pests
Forecasting
