具有避难所的两种群合作系统动力学行为研究  

Modelling and Analysis of Mutualism Model Incorporating a Refuge

作　　者：马兆芝[1] 林玉花[1] 陈婉琳[1] 张惠英[1] 

机构地区：[1]福州大学,福建福州350108

出　　处：《龙岩学院学报》2012年第5期9-12,共4页Journal of Longyan University

基　　金：福建省自然科学基金(2011J01007);福建省科技创新平台计划项目(2009J1007);福建省教育厅基金(JB09001)资助

摘　　要：提出并研究某处种群具有避难所的两种群Lotka-Volterra合作系统的动力学行为。当b12b21<1,避难所对系统的稳定性不产生影响,此时,随着避难所的增大,两个种群的数量单调减少;当b12b21>1成立时,存在一个域值m*=1-((1/b12b21)～(1/2)),如m<m*,则N1→+∞,N2→+∞;如m>m*,则两种群能稳定共存。We propose and study a two species Lotka-Volterra mutualism model incorporating a refuge for one species.We show that refuge has no influence on the stability property of the system if b12b211 holds,and in this case,the amount of both species is decreasing with the increasing of refuge;For the case b12b211,there exists a threshold m＊=1-（（1/b12b21）～（1/2））,if mm＊,unbounded growth occurs with N1→＋∞ and N2→＋∞;if mm＊,two species could coexists in a stable state.

关 键 词：两种群Lotka-Volterra合作系统 避难所 稳定性 

分 类 号：O175.14[理学—数学]