一类离散Lotka-Volterra系统的灭绝和稳定性(英文)  

Extinction and Stability for a Discrete Lotka-Volterra System

作　　者：郭延涛[1] 李雪臣[1] 郑恩伟[1] 

机构地区：[1]许昌学院数学与统计学院,河南许昌461000

出　　处：《生物数学学报》2011年第4期593-600,共8页Journal of Biomathematics

基　　金：supported by the National Natural Science Foundation of China(No.10 802043 and 10832006);Key(Keygrant)Project of Chinese Ministry of Education (No.211105);Program for Science and Technology Innovation in Universities of Henan Province(No.2009HASTIT033);the Natural science Foundation of Henan Province(No.2009A110016 and 2010A110019)

摘　　要：考虑了一类受有毒物质影响的两物种非自治离散Lotka-Volterra系统.在平均增长率意义下,得到了其中一种物种灭绝的充分条件,证明了另外一种物种的稳定性.A nonautonomous discrete Lotka-Volterra system of two species with the effect of toxic substances was considered,In terms of an average growth rate,sufficient conditions which guarantee one of the two species drive to extinction was obtained. The stability property of the other species was proved.

关 键 词：离散Lotka-Volterra系统 灭绝 稳定性 

分 类 号：O175.14[理学—数学]