Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
ZERO-HOPF BIFURCATION IN A PREDATOR-PREY MODEL
Manuel FalconiEduardo Gonzalez-OlivaresJaume Llibre
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2013 年 76 巻 1 号 p. 119-127

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We study a modification of a Holling–Tanner predator-prey model considering an alternative food for predator. We prove that this system does not exhibit a classical Hopf bifurcation. Nevertheless, for convenient values of the parameters a periodic orbit bifurcates from an equilibrium point and during this local bifurcation the eigenvalues of such equilibrium remain purely imaginary.
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© 2013 International Society for Mathematical Sciences
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