HollingⅢ型捕食者-食饵系统的动力学性质  

Dynamical Behaviors in Predator-Prey Model of Holling Ⅲ

作　　者：马凤兴[1] 林怡平[1] 

机构地区：[1]昆明理工大学理学院,云南昆明650093

出　　处：《昆明理工大学学报（理工版）》2007年第6期103-107,124,共6页Journal of Kunming University of Science and Technology(Natural Science Edition)

摘　　要：研究具有HollingⅢ型功能反应函数的捕食者-食饵系统的动力学性质.得到了平衡点局部稳定和分支的充分条件,考虑了Hopf型周期解的存在性.并研究了在适当参数条件下,多重Hopf分支点的存在性.In this paper, the dynamical behaviors of a predator - prey model are investigated. The conditions of existence, local stability and bifurcation for the steady - states are obtained and the periodic solution of the Hopf type is put forward. The existence of multiple Hopf bifurcation point is also examined with suitable values of parameters.

关 键 词：局部稳定性 HOPF分支 功能性反应 食饵-捕食者 

分 类 号：O193[理学—数学]