BIFURCATION ANALYSIS OF A STAGE-STRUCTURED PREDATOR-PREY MODEL WITH PREY REFUGE

QING ZHU; HUAQIN PENG; XIAOXIAO ZHENG; HUAFENG XIAO

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BIFURCATION ANALYSIS OF A STAGE-STRUCTURED PREDATOR-PREY MODEL WITH PREY REFUGE

机译：用猎物避难的舞台结构捕食者 - 猎物模型的分岔分析

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A stage-structured predator-prey model with prey refuge is con- sidered. Using the geometric stability switch criteria, we establish stability of the positive equilibrium. Stability and direction of periodic solutions arising from Hopf bifurcations are obtained by using the normal form theory and cen- ter manifold argument. Numerical simulations confirm the above theoretical results.

机译：具有猎物避难所的舞台结构化捕食者猎物模型。使用几何稳定性开关标准，我们建立了正平平衡的稳定性。通过使用正常形式理论和云歧管论证获得跳跃分叉产生的周期性溶液的稳定性和方向。数值模拟证实了上述理论结果。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2019年第7期|2195-2209|共15页
作者
QING ZHU; HUAQIN PENG; XIAOXIAO ZHENG; HUAFENG XIAO;
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作者单位

School of Mathematics and Statistics Guangxi Normal University Guilin 541004 China School of Mathematics and Information Science Guangzhou University Guangzhou 510006 China;

School of Mathematics and Statistics Guangxi Normal University Guilin 541004 China;

School of Mathematical Sciences Qufu Normal University Qufu 273165 China;

School of Mathematics and Information Science Guangzhou University Guangzhou 510006 China;

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正文语种 eng
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关键词
Predator-prey model; Hopf bifurcation; delay; refuge of prey popula-tion; stage-structure;

机译：捕食者 - 猎物模型;Hopf Bifurcation;延迟;猎物庇护的避难所;舞台结构;

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专利

1. STABILITY AND BIFURCATION OF A STAGE-STRUCTURED PREDATOR-PREY MODEL INCORPORATING A CONSTANT PREY REFUGE [J] . Zhen, Wei, Haihui, 微分方程年刊：英文版 . 2015,第002期

机译：恒定猎物避难所的舞台结构捕食者 - 猎物模型的稳定性和分叉
2. Hopf bifurcation analysis in a delayed Leslie-Gower predator-prey model incorporating additional food for predators, refuge and threshold harvesting of preys [J] . Nonlinear dynamics . 2020,第3期

机译：延迟Leslie-Gower捕食者 - 捕食者模型中的Hopf分叉分析，包括捕食者，避难和阈值收获的额外食物
3. Spatiotemporal Patterns and Bifurcation Analysis of a Diffusive Predator-prey Model with Prey Refuge [J] . M. Sivakumar, K. Balachandran Indian journal of industrial and applied mathematics . 2019,第2期

机译：用猎物避难的扩散捕食者 - 猎物模型的时空模式和分叉分析
4. Bifurcation Analysis for a Predator-Prey System with Prey Refuge and Diffusion [C] . Huang Chaoming, Lin Yiping The Fifth International Workshop on Chaos-Fractals Theories and Applications. . 2012

机译：带有避难和扩散的捕食者-食饵系统的分叉分析。
5. Effects of abiotic stress and predator refuge on terrestrial predator-prey interactions. [D] . Lewis, Danny. 2009

机译：非生物胁迫和捕食者避难所对陆地捕食者-猎物相互作用的影响。
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. The Dynamics and Analysis of Stage-Structured Predator-Prey Model With Prey Refuge and Harvesting Involving Disease in Prey Population [O] . Azhar Abbas Majeed 2019

机译：具有猎物避难和涉及牺牲性疾病的猎物避难和收获的动态与分析

BIFURCATION ANALYSIS OF A STAGE-STRUCTURED PREDATOR-PREY MODEL WITH PREY REFUGE

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