Hopf Bifurcation Analysis of a Three-stage-structured Prey-predator System with Multi-delays

机译：多延迟三级结构猎物捕食者系统的Hopf分岔分析

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A three-stage-structured prey-predator model with multi-delays is considered. The characteristic equations and local stability of the equilibrium are analyzed, and the conditions for the positive equilibrium occurring Hopf bifurcation are obtained by applying the theorem of Hopf bifurcation. Finally, numerical examples and brief conclusion are given.

机译：考虑了一种具有多延迟的三级结构捕食者模型。分析了平衡的特征方程和局部稳定性，通过施加Hopf分叉的定理获得正平平衡分叉分岔的条件。最后，给出了数值例子和简要结论。

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《International Conference on Materials Science and Information Technology》|2013年||共6页
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Shun-yi Li; Wen-wu Liu;
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中图分类 TB3-53;
关键词
Three-stage-structured; Prey-predator system; Multi-delays; Hopf bifurcation;

机译：三级结构;猎物 - 捕食者系统;多延迟;跳跃分叉;

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专利

1. Stability and Hopf bifurcation analysis in a prey-predator system with stage-structure for prey and time delay [J] . Chen YY, Song CM Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2008,第4期

机译：桩桩捕食者系统中稳定性和跳跃分叉分析，用于猎物和时间延迟的阶段结构
2. THE ANALYSIS OF HOPF BIFURCATION FOR THE PREY-PREDATOR SYSTEM WITH DIFFUSION AND DELAY [J] . 周笠, 宋开泰数学物理学报：B辑英文版 . 1991,第002期

机译：扩散与延迟猎物捕食系统的Hopf分岔分析
3. Supercritical and subcritical Hopf-bifurcations in a two-delayed prey-predator system with density-dependent mortality of predator and strong Allee effect in prey [J] . Banerjee Jeet, Sasmal Sourav Kumar, Layek Ritwik Kumar BioSystems . 2019,第期

机译：两次延迟猎物捕食者系统中的超临界和亚临界HOPF分支，捕食者密度依赖性死亡率和猎物中的强大效果
4. Hopf Bifurcation Analysis of a Three-stage-structured Prey-predator System with Multi-delays [C] . Shun-yi Li, Wen-wu Liu International Conference on Materials Science and Information Technology . 2013

机译：多延迟三级结构猎物捕食者系统的Hopf分岔分析
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. Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales [O] . Wenjun Zhang, Vivien Kirk, James Sneyd, 2011

机译：由于具有多种时标的系统中的某些模型约简技术Hopf分叉的临界度发生了变化
7. Stability and Hopf Bifurcation Analysis of a Simple Nutrient- Prey-Predator Model with Intratrophic Predation in Chemostat [O] . Zabidin Salleh, Liyana Abd Rahim 2018

机译：胸内捕食性腹腔捕食性腹腔捕食性模型的稳定性和Hopf分岔分析

Hopf Bifurcation Analysis of a Three-stage-structured Prey-predator System with Multi-delays

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