具有阶段结构的捕食-食饵模型  

Effect of prey refuges on a predator-prey system

作　　者：马智慧[1] 李自珍[1,2] 王淑璠[3] 

机构地区：[1]兰州大学干旱与草地生态教育部重点实验室 [2]兰州大学数学与统计学院,甘肃,兰州,730000 [3]兰州大学数学与统计学院

出　　处：《兰州大学学报（自然科学版）》2008年第2期103-106,共4页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金(30700100);国家社科基金重点项目(04AJL007)资助

摘　　要：构造了一个具有阶段结构的捕食—食饵模型,并研究了庇护所效应对于该系统平衡点的稳定性、平衡密度及其种群长期续存的影响.结果表明庇护所效应不仅能够增加猎物种群的密度,并且在一定条件下也能增加捕食者种群的平衡密度,还会增加系统的稳定性.This paper studied the effect of prey refuges on the stage-structured predator-prey model wlth two life stages-immature and mature, and with a mature prey using refuges. The effects were evaluated with regard to equilibrium density values, the local stability of equilibrium points and the long-term persistence of population. It was shown that the effect of prey refuges could increase the equilibrium density of prey population and predator population under stricter conditions and there was a trend from locally stable to globally stable, the system studied would be globally stable at the unique equilibrium point eventually, whether each trajectory of the system starting formed an arbitrary point or not under certain conditions due to refuge use by mature prey.

关 键 词：捕食-食饵系统 稳定性 阶段结构 庇护所效应 

分 类 号：O175[理学—数学] Q141[理学—基础数学]