Bogdanov-Takens bifurcation in a predator-prey model with age structure

Liu Zhihua; Magal Pierre

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Bogdanov-Takens bifurcation in a predator-prey model with age structure

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Bogdanov-Takens bifurcation in a predator-prey model with age structure

机译：Bogdanov-Takens在具有年龄结构的捕食者 - 猎物模型中的分叉

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摘要

The results obtained in this article aim at analyzing Bogdanov-Takens bifurcation in a predator-prey model with an age structure for the predator. Firstly, we give the existence result of the Bogdanov-Takens singularity. Then we describe the bifurcation behavior of the parameterized predator-prey model with Bogdanov-Takens singularity.

机译：本文的结果旨在分析具有年龄结构的捕食者-食饵模型中的Bogdanov-Takens分支。首先，我们给出了Bogdanov-Takens奇点的存在性结果。然后，我们描述了具有Bogdanov-Takens奇异性的参数化捕食者-食饵模型的分岔行为。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2021年第1期|共24页
作者
Liu Zhihua; Magal Pierre;
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作者单位

Beijing Normal Univ Sch Math Sci Beijing 100875 Peoples R China;

Univ Bordeaux IMB UMR 5251 F-33400 Talence France;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Non-densely defined Cauchy problems; Normal form; Bogdanovamp; 8211; Takens bifurcation; Homoclinic orbit; Hopf bifurcation; Predatoramp; 8211; prey model; Age structure;

机译：非密集定义的Cauchy问题;正常形式;Bogdanov＆amp;8211;Takens分叉;Hopf分叉;捕食者＆amp;8211;猎物模型;年龄结构;

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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
2. Bifurcation analysis in a stage-structured predator-prey model with maturation delay [J] . Jia Liu 生物数学学报：英文版 . 2014,第004期
3. Bogdanov-Takens bifurcation with codimension three of a predator-prey system suffering the additive Allee effect [J] . Yanwei Liu1 Zengrong Liu2 Ruiqi Wang1 生物数学学报：英文版 . 2017,第003期
4. BOGDANOV-TAKENS BIFURCATION OF CODIMENSION 3 IN A PREDATOR-PREY MODEL WITH CONSTANT-YIELD PREDATOR HARVESTING [J] . Huang Jicai, Liu Sanhong, Ruan Shigui, Communications on pure and applied analysis . 2016,第3期

机译：具有恒定收益率捕食者的捕食者-价格模型中第3维的BOGDANOV-TAKENs分叉
5. Bogdanov-Takens bifurcation in a predator-prey model [J] . Liu, Zhihua, Magal, Pierre, Xiao, Dongmei ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2016,第6期

机译：捕食者—食饵模型中的Bogdanov-Takens分支
6. Delay-induced Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with nonmonotonic functional response [J] . Jiao Jiang, Yongli Song Communications in Nonlinear Science and Numerical Simulation . 2014,第7期

机译：具有非单调功能性反应的Leslie-Gower捕食者-食饵模型中的延迟诱导的Bogdanov-Takens分叉
7. HOPF BIFURCATION IN PREDATOR-PREY MODELS WITH AN AGE-STRUCTURED PREY PROCEEDINGS [C] . MANUEL FALCONI, JAUME LLIBRE International Symposium on Mathematical and Computational Biology . 2012

机译：捕食者 - 猎物模型中的Hopf分叉具有年龄结构的猎物程序
8. Age-Structured Predator-Prey Models [D] . Liu, Shouzong. 2018

机译：年龄结构的捕食者－猎物模型
9. Neimark-Sacker bifurcation of a two-dimensional discrete-time predator-prey model [O] . A. Q. Khan -1

机译：二维离散捕食-被捕食者模型的Neimark-Sacker分支
10. Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting [O] . Xinan Zhang, Shigui Ruan, Sanhong Liu, 2016

机译：Bogdanov-Takens Codimension 3在捕食者 - 猎物模型中的分叉，恒定收益捕食者收获
11. Identification and Assessment of Material Models for Age-Related Degradation of Structures and Passive Components in Nuclear Power Plants [R] . Nie, J., Braverman, J., Hofmayer, C., 2009

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Bogdanov-Takens bifurcation in a predator-prey model with age structure

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