Hopy bifurcation and stability analysis in a predator-prey model with distributed delays

机译：分布延迟捕食者 - 猎物模型中的霍布分岔与稳定性分析

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In this paper, A mathematical model of two species with stage structure and distributed delays is investigated, the necessary and sufficient of the stable equilibrium point are studied. Further, by analyze the associated characteristic equation, it is founded that Hopf bifurcation occurs when τ crosses some critical value. The direction of Hopf bifurcation as well as stability of periodic solution are studied. Using the normal form theory and center manifold method.

机译：本文研究了具有阶段结构和分布延迟的两个物种的数学模型，研究了稳定平衡点的必要和充分。此外，通过分析相关的特性方程，建立在τ交叉一些临界值时发生跳跃分叉。研究了Hopf分叉的方向以及周期性溶液的稳定性。采用正常形式理论和中心歧管方法。

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《International Conference on Intelligent System and Applied Material》|2014年||共3页
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Hongbing Chen;
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中图分类 TB3-532;
关键词
Hopf bifurcation; stability; Time delay; Equilibrium point;

机译：Hopf分叉;稳定性;时间延迟;均衡点;

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1. Stability and Hopf Bifurcation Analysis for a Stage-Structured Predator-Prey Model with Discrete and Distributed Delays [J] . Ruiqing Shi, Junmei Qi, Sanyi Tang Journal of applied mathematics . 2013,第Pta7期

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2. Stability and Hopf Bifurcation Analysis for a Stage-Structured Predator-Prey Model with Discrete and Distributed Delays [J] . RuiqingShi, JunmeiQi, SanyiTang Journal of applied mathematics . 2013,第1期

机译：具有离散和分布时滞的阶段结构捕食者－食饵模型的稳定性和Hopf分支分析
3. Stability and Hopf bifurcation analysis on a predator-prey model with discrete and distributed delays [J] . Ma ZP, Huo HF, Liu CY Nonlinear analysis. Real world applications . 2009,第2期

机译：具有离散和分布时滞的捕食者-食饵模型的稳定性和Hopf分支分析。
4. Hopy bifurcation and stability analysis in a predator-prey model with distributed delays [C] . Hongbing Chen International Conference on Intelligent System and Applied Material . 2014

机译：分布延迟捕食者 - 猎物模型中的霍布分岔与稳定性分析
5. Stability and bifurcation analysis of a two-neuron system with discrete and distributed delays. [D] . Filfil, Rami Sufian. 2002

机译：具有离散和分布式时滞的两个神经元系统的稳定性和分叉分析。
6. Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays [O] . Sid Visser, Hil GE Meijer, Michel JAM van Putten, 2012

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7. Stability and Hopf Bifurcation Analysis in a Delayed Gause-type Predator-prey Models [O] . Shuang Guo, Xing Qiao, Dongxia Zhao, 2018

机译：延迟延迟型捕食者 - 猎物模型中的稳定性和Hopf分岔分析

Hopy bifurcation and stability analysis in a predator-prey model with distributed delays

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