具有庇护所效应的捕食——食饵系统的研究  

A Study of a Predator-prey System

作　　者：邵旭馗[1] 王淑璠[2] 马智慧[2] 

机构地区：[1]陇东学院数学系,甘肃庆阳745000 [2]兰州大学数学与统计学院,甘肃兰州730000

出　　处：《陇东学院学报》2008年第2期5-7,共3页Journal of Longdong University

摘　　要：通过研究庇护所效应对具HollingⅢ类功能反应的捕食者-食饵系统的影响,主要讨论了庇护所效应对系统平衡点的稳定性及两种群平衡密度的影响.结果表明此效应不仅可以增加两种群的平衡密度而且也能增加系统的稳定性,即系统的正平衡点随着庇护所效应的增强由不稳定状态转变为渐进稳定状态.The effect of prey refuge on the predator-prey system with Holling Ⅲ type functional response is studied in this paper with the focus on the impact on the stability and equilibrium density. Results indicated that the effect of prey refuge can increase the equilibrium density of prey and predators and the stability of the predator-prey system. Here, increasing the stability refers to the cases where the equilibrium point changes from repellor to attractor following the controlled parameter.

关 键 词：捕食者——食饵系统 庇护所效应 平衡点 稳定性 

分 类 号：O159[理学—数学]