Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with prey harvesting |
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| Authors: | Yi-jun Gong Ji-cai Huang |
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| Institution: | 1. School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China
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| Abstract: | 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. |
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| Keywords: | Leslie-Gower predator-prey model Bogdanov-Takens bifurcation limit cycle homoclinic loop |
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