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

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.