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Effects of whaling and krill fishing on the whale-krill predation dynamics: bifurcations in a harvested predator-prey model with Holling type I functional response

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成果类型:
期刊论文
作者:
Pan, Qin;Lu, Min;Huang, Jicai;Ruan, Shigui
通讯作者:
Lu, M
作者机构:
[Lu, Min; Huang, Jicai; Pan, Qin] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Lu, Min; Huang, Jicai; Pan, Qin] Cent China Normal Univ, Key Lab NAA, MOE, Wuhan 430079, Peoples R China.
[Ruan, Shigui] Univ Miami, Dept Math, Coral Gables, FL 33146 USA.
通讯机构:
[Lu, M ] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
Cent China Normal Univ, Key Lab NAA, MOE, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Bogdanov–Takens bifurcation;Harvesting;Holling I functional response;Hopf bifurcation;Krill–whale interaction;Predator–prey model
期刊:
Journal of Mathematical Biology
ISSN:
0303-6812
年:
2024
卷:
88
期:
4
页码:
1-30
基金类别:
National Natural Science Foundation of China [12231008]; NSFC [DMS-2052648]; National Science Foundation
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 the Antarctic, the whale population had been reduced dramatically due to the unregulated whaling. It was expected that Antarctic krill, the main prey of whales, would grow significantly as a consequence and exploratory krill fishing was practiced in some areas. However, it was found that there has been a substantial decline in abundance of krill since the end of whaling, which is the phenomenon of krill paradox. In this paper, to study the krill–whale interaction we revisit a harvested predator–prey model with Holling I functional response...

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