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One and three limit cycles in a cubic predator–prey system
Author(s) -
Huang Xuncheng,
Wang Yuanming,
Zhu Lemin
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.791
Subject(s) - uniqueness , mathematics , limit cycle , limit (mathematics) , generalization , predation , predator , mathematical analysis , mathematical economics , ecology , biology
A cubic differential system is proposed, which can be considered a generalization of the predator–prey models, studied recently by many authors. The properties of the equilibrium points, the existence of a uniqueness limit cycle, and the conditions for three limit cycles are investigated. The criterion is easy to apply in applications. Copyright © 2006 John Wiley & Sons, Ltd.
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