Dynamics of the generalized Rosenzweig-MacArthur model in a changing and patchy environment

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成果类型：

期刊论文

作者：

Lu, Min;Xiang, Chuang;Huang, Jicai;Ruan, Shigui

通讯作者：

Xiang, C

作者机构：

[Lu, Min; Huang, Jicai] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.

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

[Xiang, Chuang; Xiang, C] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China.

[Xiang, Chuang; Xiang, C] Nanjing Normal Univ, Key Lab NSLSCS, Minist Educ, Nanjing 210023, Peoples R China.

[Ruan, Shigui] Univ Miami, Dept Math, Coral Gables, FL 33146 USA.

通讯机构：

[Xiang, C ] N

Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China.

Nanjing Normal Univ, Key Lab NSLSCS, Minist Educ, Nanjing 210023, Peoples R China.

语种：

英文

关键词：

Two-patch model;Allee effects in predators;Environment change;Bifurcations;Extinction;Regime shifts

期刊：

PHYSICA D-NONLINEAR PHENOMENA

ISSN：

0167-2789

年：

2024

卷：

465

DOI：

10.1016/j.physd.2024.134197

基金类别：

NSFC [11871235]

机构署名：

本校为第一机构

院系归属：

数学与统计学学院

摘要：

In this paper, we propose a generalized Rosenzweig-MacArthur predator-prey model with two patches and Allee effects in predators. In a constant environment, for the single -patch model we show the existence of degenerate Bogdanov-Takens bifurcation with codimension up to 4 and degenerate Hopf bifurcation with codimension up to 3, which indicate that the nilpotent cusp of codimension 4 is the organizing center of the bifurcation set. Our results show that Allee effects in predators can not only induce much more complex bifurcations and dynamics (such as three limit cycles, multitype tristabilit...

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Dynamics of the generalized Rosenzweig-MacArthur model in a changing and patchy environment

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