Bifurcations driven by generalist and specialist predation: mathematical interpretation of Fennoscandia phenomenon

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成果类型：

期刊论文

作者：

Zhang, Yuyue;Huang, Jicai;Wang, Hao

通讯作者：

Huang, JC;Wang, H

作者机构：

[Zhang, Yuyue; Huang, Jicai] Cent China Normal Univ, Sch Math & Stat, Minist Educ, Wuhan 430079, Hubei, Peoples R China.

[Zhang, Yuyue; Huang, Jicai] Cent China Normal Univ, Key Lab Nonlinear Anal & Applicat, Minist Educ, Wuhan 430079, Hubei, Peoples R China.

[Wang, Hao] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada.

[Wang, Hao] Univ Alberta, Interdisciplinary Lab Math Ecol & Epidemiol, Edmonton, AB T6G 2G1, Canada.

通讯机构：

[Wang, H ] U

[Huang, JC ] C

Cent China Normal Univ, Sch Math & Stat, Minist Educ, Wuhan 430079, Hubei, Peoples R China.

Cent China Normal Univ, Key Lab Nonlinear Anal & Applicat, Minist Educ, Wuhan 430079, Hubei, Peoples R China.

Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada.

语种：

英文

关键词：

Degenerate Bogdanov–Takens bifurcation;Generalist predator;Nilpotent cusp of codimension 4;Nilpotent focus of codimension 3;Predator–prey model;Specialist predator

期刊：

Journal of Mathematical Biology

ISSN：

0303-6812

年：

2023

卷：

期：

页码：

1-45

DOI：

10.1007/s00285-023-01929-1

基金类别：

NSFC [11871235, 12231008]; NSERC [RGPIN-2020-03911, RGPAS-2020-00090]

机构署名：

本校为第一且通讯机构

院系归属：

数学与统计学学院

摘要：

In this paper, we revisit a predator-prey model with specialist and generalist predators proposed by Hanski et al. (J Anim Ecol 60:353-367, 1991) , where the density of generalist predators is assumed to be a constant. It is shown that the model admits a nilpotent cusp of codimension 4 or a nilpotent focus of codimension 3 for different parameter values. As the parameters vary, the model can undergo cusp type (or focus type) degenerate Bogdanov-Takens bifurcations of codimension 4 (or 3). Our results indicate that generalist predation can induce more complex dynamical behaviors and bifurcation...

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Bifurcations driven by generalist and specialist predation: mathematical interpretation of Fennoscandia phenomenon

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