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HollingⅢ型捕食者-食饵系统的动力学性质
Dynamical Behaviors in Predator-Prey Model of Holling Ⅲ
【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.
【Abstract】 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;
【Key words】 local stability; Hopf bifurcation; functional response; prey-predator model;
【Key words】 local stability; Hopf bifurcation; functional response; prey-predator model;
- 【文献出处】 昆明理工大学学报(理工版) ,Journal of Kunming University of Science and Technology(Science and Technology) , 编辑部邮箱 ,2007年06期
- 【分类号】O193;Q141
- 【被引频次】8
- 【下载频次】134