两种群Lotka-Volterra互惠生态系统的β绝灭和β持续生存  

βextinction and β persistence of a two-dimensional Lotka-Volterra reciprocity model

作　　者：阎慧臻[1] 刘燕[1] 苗苗[1] YAN Huizhen;LIU Yan;MIAO Miao(School of Informational Science and Engineering,Dalian Polytechnic University,Dalian 116034,China)

机构地区：[1]大连工业大学信息科学与工程学院,辽宁大连116034

出　　处：《大连工业大学学报》2018年第5期419-423,共5页Journal of Dalian Polytechnic University

摘　　要：利用延拓思想与极限方法研究了两种群Lotka-Volterra互惠生态系统的β绝灭与β持续生存问题,即在有限时间内的绝灭与持续生存问题,得到了两种群β绝灭与β持续生存的一些充分条件。所得结果说明:种群的β绝灭与β持续生存不仅与种群水平β有关,还与种群的初始数量密切相关。当种群水平β大于某个值时,种群将在有限时间内β绝灭;当种群水平β限定在不同范围内时,只要控制好种群的初始数量,就能保证两种群永远β持续生存。βextinction andβpersistence of a two-dimensional Lotka-Volterra reciprocity model was studied using extension thought and limit method,which can also be regarded as extinction and persistence in finite time.Some sufficient conditions ofβextinction andβpersistence of populations have been obtained.It is discovered thatβextinction andβpersistence of populations are relevant to not only the value ofβ,but also the initial population.Whenβis greater than a certain value,the population will achieveβextinction in finite time;whenβis limited in different ranges,the two populations can achieveβpersistence as long as the initial population is reasonable.

关 键 词：互惠生态系统 β持续生存 β绝灭 

分 类 号：O29[理学—应用数学] Q141[理学—数学]