计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (21): 48-51.
• 理论研究、研发设计 • 上一篇 下一篇
郑宗剑
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ZHENG Zongjian
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摘要： 研究了一类双时滞Holling-III型功能性反应且具有Leslie形式的捕食者数量反应的捕食-食饵种群模型，通过分析系统对应的特征方程，得出了各种情形下的正平衡点局部稳定性及Hopf分支存在性的充分条件，并给出了一个数值实例。
关键词: Hopf分支, 捕食-食饵系统, 时滞, 平衡点, Holling-III
Abstract: In this paper, a predator-prey system with two delays Holling-III functional response and the predator’s numerical response of Leslie form is studied. By analyzing the corrsponding characteristic equation, local stability of the equilibrium is obtained. The existence of Hopf bifurcation is discussed. A numerical example is given.
Key words: Hopf bifurcation, predator-prey system, delay, equilibrium, Holling-III
郑宗剑. 双时滞HollingIII-Leslie型捕食-食饵系统的Hopf分支[J]. 计算机工程与应用, 2015, 51(21): 48-51.
ZHENG Zongjian. Hopf bifurcation analysis of Holling III-Leslie type predator-prey system with two delays[J]. Computer Engineering and Applications, 2015, 51(21): 48-51.
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http://cea.ceaj.org/CN/Y2015/V51/I21/48
