摘要
在农田生态系统中,以作物状况、气象因素及天敌分别为3种控制变量,以害虫种群数量动态为状态变量,建立了燕尾突变模型,并用燕尾突变模型的性质分析害虫种群数量动态中产生的突变现象。具体对燕尾突变的分歧点集所分各个控制区域的系统势函数形式和平衡点情况进行了分析,说明了害虫种群数量发生突变的条件和机理,为实际应用提供理论依据。同时利用燕尾突变的性质直观描述了害虫种群数量变化中的突跳和滞后等现象。
In this paper,we build a swallowtail catastrophe dynamic model of the pest population in a farmland ecosystem,taking into account influential factors such as crop,climate and natural enemies.From this,we derive a standard swallowtail catastrophe model and analyze the catastrophic phenomena caused by the dynamic pest population.In particular,we make a concrete analysis of the swallowtail catastrophe pattern,studying the equilibrium points and system potential functions of each control space generated by the bifurcation set of the swallowtail catastrophe,to explain the conditions and mechanisms of quantity catastrophe in the pest population.We also describe phenomena such as pest population size eruption and dynamic lag using swallowtail catastrophe theory.The results in this paper provide a theoretical basis for practical applications.
出处
《生态学报》
CAS
CSCD
北大核心
2009年第10期5478-5484,共7页
Acta Ecologica Sinica
基金
国家自然科学基金资助项目(30470268)
关键词
种群动态
燕尾突变
分歧点集
population dynamic
swallowtail catastrophe
bifurcation set
