The uniqueness of limit cycles in a predator-prey system with Ivlev-type group defense

The uniqueness of limit cycles in a predator-prey system with Ivlev-type group defense

This paper discusses the uniqueness of limit cycles in a two-dimensional autonomous Gause predator-prey model with an Ivlev-type group defense introduced by D. M. Xiao, S. G. Ruan, Codimension two bifurcations in a predator-prey system with group defense, Int. J. Bifurcat. Chaos, 11 (2001). We prove...

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Bibliographic Details
Main Authors: Jin Liao, André Zegeling, Wentao Huang
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
Subjects:
limit cycle
group defense
liénard system
predator-prey
gause system
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241604
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https://www.aimspress.com/article/doi/10.3934/math.20241604

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