Limit Cycle Bifurcations in a Quartic Ecological Model

Details Limit Cycle Bifurcations in a Quartic Ecological Model Limit Cycle Bifurcations in a Quartic Ecological Model

2009-02-16

arxiv.org/abs/0902.2433v1

Mathematics

Dynamical Systems

13 pages

Scientific paper

In this paper we complete the global qualitative analysis of a quartic
ecological model. In particular, studying global bifurcations of singular
points and limit cycles, we prove that the corresponding dynamical system has
at most two limit cycles.

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