Hopf Bifurcation for a Predator-prey System with Holling-Ⅲ

机译：具有Holling-Ⅲ型捕食者-食饵系统的Hopf分支。

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A predator-prey system with delay and Holling Ⅲ functional response is investigated in this paper. The existence and local stability of the equilibrium is studied. The existence of Hopf bifurcation is discussed.

机译：研究了具有时滞和HollingⅢ类功能性反应的捕食系统。研究了平衡点的存在性和局部稳定性。讨论了Hopf分叉的存在。

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来源
《The World Advances in ELID-Grinding Technologies: Trends on High Efficiency and Essential Processing》|2008年|430-432|共3页
会议地点 Changsha(CN)
作者
Qingyu zheng; rnYinlai Jin; rnHongshan Du;
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作者单位

Qingyu zheng@Linyi Normal University, Linyi, 276005, China--Yinlai Jin@Linyi Normal University, Linyi, 276005, China--Hongshan Du@Linyi Normal University, Linyi, 276005, China--;

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原文格式 PDF
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中图分类 TTB30;
关键词
Hopf bifurcation; delay; stability; equilibrium;

机译：Hopf分叉；延迟;稳定性;平衡;

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专利

1. Stability and bifurcation in a stage-structured predator-prey system with Holling-Ⅱ functional response and multiple delays [J] . Zizhen Zhang, Huizhong Yang International journal of computer mathematics . 2015,第3a4期

机译：具有HollingⅡ类功能反应和多重时滞的阶段结构捕食者-食饵系统的稳定性和分岔。
2. Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system [J] . Du Yanfei, Niu Ben, Wei Junjie Chaos . 2019,第1a3期

机译：两次延迟诱导跳跃分叉和扩散leeslie-gower捕食者 - 猎物系统中的双跳分数
3. PHASE PORTRAITS, HOPF BIFURCATIONS AND LIMIT CYCLES OF LESLIE-GOWER PREDATOR-PREY SYSTEMS WITH HARVESTING RATES [J] . Changrong Zhu, rnKunquan Lan Discrete and continuous dynamical systems . 2010,第1期

机译：具有速率的莱斯利-戈德捕食-收获系统的相态，霍夫分叉和极限周期
4. Hopf Bifurcation for a Predator-prey System with Holling-Ⅲ [C] . Zhimin Ma, Lanfu Liu, Songshu Zhang Conference of Biomathematics . 2008

机译：具有Holling-Ⅲ型捕食者-食饵系统的Hopf分支。
5. Hopf bifurcations in the competitive three-dimensional Lotka-Volterra systems. [D] . Zeeman, Mary Lou. 1989

机译：竞争性三维Lotka-Volterra系统中的Hopf分叉。
6. Global Hopf Bifurcation on Two-Delays Leslie-Gower Predator-Prey System with a Prey Refuge [O] . Qingsong Liu, Yiping Lin, Jingnan Cao 2014

机译：带有食饵避难所的两时滞莱斯利-高尔捕食者-食饵系统的全局Hopf分叉
7. Instabilities in spatially extended predator-prey systems: Spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations [O] . Martin Baurmann, Thilo Gross, Ulrike Feudel 2006

机译：空间扩展捕食者 - 食饵系统的不稳定性：图灵 - 霍普夫分岔附近的时空模式

Hopf Bifurcation for a Predator-prey System with Holling-Ⅲ

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