具HollingⅢ型功能反应的三维循环捕食系统的持久性和平稳振荡  

Persistence and stationary oscillation of the cyclic and predator-prey system of three species with Holling's type III functional response

作　　者：许君雁[1] 陈凤德[1] 

机构地区：[1]福州大学数学系,福建福州350002

出　　处：《福州大学学报（自然科学版）》2003年第3期269-273,共5页Journal of Fuzhou University(Natural Science Edition)

摘　　要：对一类具HollingⅢ类功能反应的三维循环捕食系统 ,给出了其持续生存的判据 ,特别当其为周期系统时 ,得到此系统存在平稳振荡的充分条件 .The cyclic and predator-prey model of three species with Holling's type III functional response is discussed. A criterion for the persistence of the system is given, the sufficient condition for the existence of stationary oscillation of the system with periodic coefficients is obtained.

关 键 词：HOLLING Ⅲ类功能反应 捕食系统 持久性 平稳振荡 

分 类 号：O175.13[理学—数学]