摘要
利用极限理论与延拓方法研究了二维Lotka-Volterra竞争务统在有限时间内的持续生存与绝灭问题,即β持续生存与β绝灭问题.给出了种群β持续生存与β绝灭的一些充分条件.所得结论表明:种群的β持续生存和β绝灭与种群的初始数量有关.在一定条件下,只要控制种群的初始数量在一定范围内,即可保证两种群永远β持续生存.
Using limit theory and extension method, this paper studied persistence or extinction of a two-dimensional Lotka-Volterra competition model in finite time. That was β persistence or β extinction of populations. Some sufficient conditions on β persistence or β extinction of populations are obtained. It is discovered thatβpersistence orβ extinction of populations are relevant to the initial quantity of populations. Under some conditions, the populations are β persistent in any finite time if the initial quantity of the two population are limited in some range.
出处
《生物数学学报》
CSCD
北大核心
2010年第2期294-298,共5页
Journal of Biomathematics
基金
辽宁省教育厅科技研究项目(2009A075)
关键词
竞争系统
β持续生存
β绝灭
Competition model
β persistence
β extinction
