Title of article :
Global qualitative analysis of a quartic ecological model
Original Research Article
Author/Authors :
Henk W. Broer، نويسنده , , Valery A. Gaiko، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
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.
Keywords :
Bifurcation , separatrix cycle , limit cycle , singular point , Wintner–Perko termination principle , Quartic ecological model , Field rotation parameter
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications