Local bifurcations of a ratio-dependent predator-prey system with Holling type III functional response

Qiuyan Zhang

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Local bifurcations of a ratio-dependent predator-prey system with Holling type III functional response

机译：具有Holling III类功能性反应的比率依赖型捕食-被捕食系统的局部分支

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In this paper a ratio-dependent predator-prey system with Holling type III functional response is discussed. We give parameter conditions for exact number of equilibria. The conditions for pitchfork bifurcation are given by the center manifold theory. Hopf bifurcations are discussed by computing Lyapunov coefficients. It is shown that at most one stable limit cycle occurs.

机译：本文讨论了具有Holling III类功能性反应的比率依赖的捕食者－食饵系统。我们给出了精确的平衡数的参数条件。干草叉分叉的条件由中心流形理论给出。通过计算李雅普诺夫系数讨论霍普夫分支。结果表明，最多出现一个稳定的极限循环。

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《University of Bucharest. Annals. Mathematical Series》 |2015年第2期|共页
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Qiuyan Zhang;
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1. Local bifurcations of a ratio-dependent predator-prey system with Holling type III functional response [J] . Qiuyan Zhang Universitatea din Craiova. Analele. Seria: Matematica, Informatica . 2015,第2期

机译：具有Holling III类功能性反应的比率依赖型捕食-被捕食系统的局部分支
2. Bifurcation analysis of a diffusive predator-prey model with ratio-dependent Holling type III functional response [J] . Zhou Jun Nonlinear dynamics . 2015,第3期

机译：具有比率依赖的Holling III型功能性反应的扩散捕食模型的分叉分析
3. Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response [J] . Jicai Huang, Shigui Ruan, Jing Song Journal of Differential Equations . 2014,第6期

机译：具有广义Holling III型功能反应的Leslie型捕食者-食饵系统的分叉。
4. Periodic Solution of semi-ratio-dependent Predator-prey System with Holling Type III Functional Response and Impulsive effect [C] . Wenxiang Zhang, Kaihua Wang, Zhanji Gui International congress on mathematical biology;ICMB2011 . 2011

机译：具有Holling III类功能反应和脉冲效应的半比率捕食食饵系统的周期解
5. Dynamics of Predator-Prey Models with Ratio-Dependent Functional Response and Diffusion. [D] . Cervantes Casiano, Ricardo. 2016

机译：具有比率相关的功能响应和扩散的捕食者－食饵模型的动力学。
6. Bistability and Hopf bifurcation of a tritrophic system with Holling functional responses [O] . Gamaliel Blé, Víctor Castellanos, Francisco Eduardo Castillo-Santos 2021

机译：具有HOLLING功能反应的胎选系统的双稳态和HOPF分叉
7. Dynamics Behaviors of a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls [O] . Jinghui Yang 2013

机译：具有Holling III型功能响应和反馈控制的离散比率依赖捕食者-食饵系统的动力学行为

Local bifurcations of a ratio-dependent predator-prey system with Holling type III functional response

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