Kaixiang Yan, Xuncheng Huang
Abstract
Abstract: A cubic system, which is a generalization of the predator-prey models, studied by many authors recently (see [1,2], for instance) is proposed. The properties of the equilibrium points, the Hopf bifurcation and the stability of the periodic solution, due to the bifurcation are investigated.
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Abstract: A cubic system, which is a generalization of the predator-prey models, studied by many authors recently (see [1,2], for instance) is proposed. The properties of the equilibrium points, the Hopf bifurcation and the stability of the periodic solution, due to the bifurcation are investigated.
Key concepts: Hopf bifurcation, Generalization, Mathematics, Saddle-node bifurcation, Bifurcation, Bogdanov–Takens bifurcation, Transcritical bifurcation, Predation