中文摘要：

针对网蛱蝶世代不重迭的生活史特征构造结构集合种群模型，运用差分方程定性理论和数值分析方法研究网蛱蝶集合种群的动态行为以及产生这些动态行为的原因．考虑到集合种群的基本特征，在模型中引入随机变量描述斑块上局域种群灭绝与再殖的随机现象，并利用所建立的模型，根据生物观测数据，对河北阎家坪地区2种网蛱蝶集合种群分别进行了数值模拟．从数学的角度证明环境保护对网蛱蝶种群可持续生存的可能性和重要性。

英文摘要：

A model is presented to describe structured metapopulation dynamics for the butterfly with the feature of one generation one year. The dynamical characteristic and mechanism of the model are analyzed by the difference equations theory and the numerical simulation method. Especially, the stochastic variable is introduced to the model to represent the phenomena of the stochastic extinction and recolony of the cocal population, that is one of the typical feature of the metapopulation. Meanwhile, on the basis of the biological observed data, the numerical simulation is carried out for the two kinds of butterfly in the Hebei Yanjiaping region, so as to confirm, from the mathematics point of view, the possibility and the importance of the habitat protection for the persistence of the butterfly populations.