This article is cited in 2 papers

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Global bifurcation analysis of a quartic predator–prey model

V. A. Gaĭko

National Academy of Sciences of Belarus, United Institute of Informatics Problems, L. Beda Str. 6-4, Minsk, 220040, Belarus

Abstract: We complete the global bifurcation analysis of a quartic predator–prey 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.

Keywords: quartic predator–prey model, bifurcation, limit cycle.

UDC: 517.925

Received: 19.05.2011

DOI: 10.20537/2076-7633-2011-3-2-125-134