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• W2096180748 abstract "We provide an analytical proof of the existence of a stable periodic orbit contained in the region of coexistence of the three species of a tritrophic chain. The method used consists in analyzing a triple Hopf bifurcation. For some values of the parameters three limit cycles born via this bifurcation. One is contained in the plane where the top-predator is absent. Another one is not contained in the domain of interest where all variables are positive. The third one is contained where the three species coexist. The techniques for proving these results have been introduced in previous articles by the second author and are based on the averaging theory of second-order. Existence of this triple Hopf bifurcation has been previously discovered numerically by Kooij et al." @default.
• W2096180748 created "2016-06-24" @default.
• W2096180748 creator A5046015548 @default.
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• W2096180748 date "2011-05-01" @default.
• W2096180748 modified "2023-09-30" @default.
• W2096180748 title "Analytical study of a triple Hopf bifurcation in a tritrophic food chain model" @default.
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• W2096180748 doi "https://doi.org/10.1016/j.amc.2011.01.109" @default.
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