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Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with prey harvesting
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Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with prey harvesting
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Journal Article
Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with prey harvesting
2014
Overview
This paper discuss the cusp bifurcation of codimension 2 (i.e. Bogdanov-Takens bifurcation) in a Leslie-Gower predator-prey model with prey harvesting, which was not revealed by Zhu and Lan [Phase portraits, Hopf bifurcation and limit cycles of Leslie-Gower predator-prey systems with harvesting rates, Discrete and Continuous Dynamical Systems Series B. 14(1) (2010), 289–306]. It is shown that there are different parameter values for which the model has a limit cycle or a homoclinic loop.
Publisher
Springer Nature B.V
Subject
