Hopf bifurcation and stability for predator-prey systems with Beddington-DeAngelis type functional response and stage structure for prey incorporating refuge

Fengying Wei; Qiuyue Fu

首页> 外文期刊>Applied Mathematical Modelling >Hopf bifurcation and stability for predator-prey systems with Beddington-DeAngelis type functional response and stage structure for prey incorporating refuge

【24h】

Hopf bifurcation and stability for predator-prey systems with Beddington-DeAngelis type functional response and stage structure for prey incorporating refuge

机译：具有Beddington-DeAngelis型功能性反应和具有避难所的猎物的阶段结构的捕食系统的Hopf分支和稳定性

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

A kind of stage-structured predator-prey model with Beddington-DeAngelis functional response incorporating a prey refuge is investigated in this paper. By analyzing the corresponding characteristic equations, the local stability of the equilibria is investigated. Moreover, Hopf bifurcations occur at the positive equilibrium as the delay t crosses some critical values. Further, the influence of prey refuge on densities of predator species and prey species is investigated. Numerical simulations are carried out to illustrate our main results.

机译：本文研究了一种具有Beddington-DeAngelis功能反应并带有避难所的阶段结构的捕食者—食饵模型。通过分析相应的特征方程，研究了平衡点的局部稳定性。此外，随着延迟t越过一些临界值，Hopf分叉出现在正平衡处。此外，研究了避难所对捕食物种和猎物物种密度的影响。进行数值模拟以说明我们的主要结果。

著录项

来源
《Applied Mathematical Modelling》 |2016年第1期|126-134|共9页
作者
Fengying Wei; Qiuyue Fu;
展开▼
作者单位

College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China;

College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China;

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Hopf bifurcation; Predator-prey model; Delay; Beddington-DeAngelis functional response; Refuge;

机译：Hopf分叉;捕食者－猎物模型;延迟;Beddington-DeAngelis功能反应;避难所;

相似文献

外文文献
中文文献
专利

1. Hopf bifurcation and stability in a Beddington-DeAngelis predator-prey model with stage structure for predator and time delay incorporating prey refuge : Open Mathematics [J] . Zaowang Xiao, Zhong Li, Zhenliang Zhu, Open Mathematics . 2019,第1期

机译：具有捕食者的阶段结构和时滞的捕食者避难所的Beddington-DeAngelis捕食者-食饵模型的Hopf分支与稳定性：开放数学
2. Spatiotemporal dynamics of a predator-prey system with Beddington-DeAngelis functional response and the modified Leslie-Gower type dynamics incorporating prey refuge [J] . Dawit Melese, Sunita Gakkhar International Journal of Mathematical Modelling and Numerical Optimisation . 2013,第1期

机译：具有Beddington-DeAngelis功能反应的捕食者-食饵系统的时空动力学和包含食饵避难所的改进的Leslie-Gower型动力学
3. Stability and Hopf bifurcation for a delayed predator-prey model with stage structure for prey and Ivlev-type functional response [J] . Nonlinear dynamics . 2020,第4期

机译：具有阶段结构的延迟捕食者猎物模型的稳定性和Hopf分岔，用于猎物和IVLEV型功能响应的阶段结构
4. Bifurcation Solutions and Stability of Predator-prey System with Beddington-DeAngelis Functional Responses [C] . Yuzhen, Wang, Xiaoli, Ma International Conference on Industrial Control and Electronics Engineering;ICICEE 2012 . 2012

机译：具有Beddington-DeAngelis功能响应的捕食者-食饵系统的分支解和稳定性
5. Power system optimization incorporating Hopf bifurcations. [D] . Pana, Isabel. 2005

机译：结合Hopf分叉的电力系统优化。
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. STABILITY AND HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY SYSTEM INCORPORATING A PREY REFUGE [O] . Xiaoyuan Chang A B, Junjie Wei 2014

机译：包含掠食物的捕食者-捕食者扩散系统的稳定性和霍夫分岔

Hopf bifurcation and stability for predator-prey systems with Beddington-DeAngelis type functional response and stage structure for prey incorporating refuge

摘要

著录项

相似文献

相关主题

期刊订阅