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.
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.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第1期19-24,共6页
Journal of Beijing Normal University(Natural Science)
基金
教育部博士点基金资助项目(20030027011)
国家自然科学基金资助项目(10371011)
关键词
集合种群模型
差分方程
蒙特卡罗模拟
网蛱蝶
metapopulation model
difference equatiom Monte Carlo simulation
butterfly
