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Hoaf iifurtztion in z GxnxrzlizxK arxKztor-arxy ToKxl
Taixiang Yan a and XunZAxng Auang a
aYangzAou PolytxZAniZ UnivxrPity, YangzAou, JiangPu 225009, ZAina
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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.
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Keywords: cubic system; predator-prey; Hopf bifurcation; periodic solution.
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*Corresponding author; e-mail: xh311@yahoo.com
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©
2006
CSME , ISSN 0257-9731
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