LIMIT CYCLES IN A CUBIC PREDATOR-PREY DIFFERENTIAL SYSTEM | Zendy

Xuncheng Huang | Zendy; Yuan-Ming Wang | Zendy; Ansheng Cheng | Zendy

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LIMIT CYCLES IN A CUBIC PREDATOR-PREY DIFFERENTIAL SYSTEM

Author(s) -

Xuncheng Huang,

Yuan-Ming Wang,

Ansheng Cheng

Publication year - 2006

Publication title -

journal of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.403

H-Index - 31

eISSN - 2234-3008

pISSN - 0304-9914

DOI - 10.4134/jkms.2006.43.4.829

Subject(s) - mathematics , uniqueness , generalization , limit (mathematics) , predation , mathematical analysis , differential equation , predator , differential (mechanical device) , thermodynamics , ecology , physics , biology

We propose a cubic difierential system, which can be considered a generalization of the predator-prey models, studied by many authors recently (see (18, 20), for instance). The properties of the equilibrium points, the existences, nonexistence, the uniqueness conditions and the relative positions of the limit cycles are inves- tigated. An example is used to show our theorems are easy to be used in applications.

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