具有弱Allee效应的离散单物种种群模型动态  

The Dynamics of a Single-Species Discrete Time Population Model with Weak Allee Effect

作　　者：刘志广[1] 张丰盘[1] 

机构地区：[1]河南大学数学与信息科学学院应用数学研究所,河南开封475004

出　　处：《河南大学学报（自然科学版）》2012年第6期683-685,共3页Journal of Henan University:Natural Science

基　　金：国家自然科学基金项目(11126157);河南省教育厅基金项目(2011A180003)

摘　　要：详细探讨了具有弱Allee效应的单物种离散种群模型的动态,所得到的分析结果为数值模拟提供了理论依据.研究结果表明弱Allee效应也会导致一个阈值密度,低于此值,种群难逃灭绝厄运;更值得重视的是种群受到弱Allee效应影响时,无论繁殖率多么大,种群总是有灭绝的可能.This paper discussed in detail the dynamics of a single species discrete time population model with weak Allee effect,the analysis results obtained can provide a theoretical basis for numerical simulation.The results show that the weak Allee effect can lead to a threshold density below which the population is doomed to extinction;it is noteworthy that the population with the weak Allee effect always has extinction possibility,no matter how much reproductive rate.

关 键 词：ALLEE效应 逻辑斯蒂模型 平衡态 灭绝 

分 类 号：O29[理学—应用数学]