【摘要】 在不同环境因素作用下，种群间的种群密度变化速率存在着较大的时间尺度差异.首先，基于快慢系统建立一类害虫-天敌种群模型，刻画了害虫种群和天敌种群间的相互制约关系；其次，运用奇异摄动理论把所建模型退化为慢系统和快系统，再利用动力系统定性和分支理论分别对慢系统和快系统进行几何分析；最后，结合慢系统和快系统的几何分析给出所建模型的综合分析结论及相应的生态学解释.本研究成果可为害虫种群的生物防治提供理论基础.更多还原

【Abstract】 Considering the different environmental factors, there is a large time scale difference in the change rate of population density among populations.Firstly, a kind of pest-natural enemy population mode is established based on the fast-slow system.The mutual restriction relationships between the pest population and the natural enemy population are described.Secondly, using the singular perturbation theory, the model is degenerated into a slow system and a fast system, then according to the dynamic system qualitative and bifurcation theory, the geometric analyses for the slow system and fast system are given.Finally, combining the geometric analyses of the slow system and the geometric analyses of the fast system, the comprehensive analysis conclusions and the corresponding ecological interpretations are given.The research results can provide a theoretical basis for biological control of pest populations.更多还原