污染斑块上具有扩散的Lotka-Volterra系统的持续生存与绝灭  

Permanence and Extinction of Lotka-Volterra Systems with Diffusion in the Polluted Patch

作　　者：李晓艳[1] 姚频[2] 

机构地区：[1]兰州交通大学数理软件工程学院,兰州731070 [2]兰州城市学院附属中学,兰州730070

出　　处：《重庆工学院学报（自然科学版）》2008年第4期45-48,共4页Journal of Chongqing Institute of Technology

基　　金：国家自然科学基金资助项目(604730304)

摘　　要：建立了2个斑块上种群扩散的捕食—食饵系统,研究了当其中一个斑块受到输入量存在极限值的外来毒素污染时,由于扩散的存在,使另一斑块上的种群也受到毒素的影响,讨论此时2个斑块上3种群的持续生存与绝灭.结果表明,当扩散存在且扩散率满足一定条件时,食饵种群和捕食者种群在未来时刻将全部灭绝;而当扩散率满足另一条件时,它们将持续生存,进而会影响斑块上的生物多样性.This paper sets up a predator-prey system with diffusion on two patchs; the main study is on how diffusion affects the three population＇ s existence when one of the two patches is polluted. The analysis focuses on the case that the toxicant input in the polluted patch has a limit value. It is shown that the following conclusion can be drawn when there is certain diffusion and the limit value exceeds a certain value, the population go extinct. However, when the diffusion exists and the diffusive coefficients of the populations satisfy another condition, they will continue to exist, and then will effect bio-diversity.

关 键 词：斑块 扩散 毒素污染 食饵 捕食者 

分 类 号：O175.1[理学—数学]