| Volume 3, Number 1, 2013, Pages 11-20 DOI：10.11948/2013002 |
| Complex dynamics in 2-species predator-prey systems |
| Ilhem Djellit,Mohamed Lamine Sahari,Amel Hachemi |
| Keywords:Prey-predator system Bifurcation basin Map with denominator Focal point |
| Abstract: |
| In this work, we consider some dynamical properties and specific contactbifurcations of a discrete-time predator-prey system having inverseswith vanishing denominator. The dynamics is investigated by usingconcepts of focal points, prefocal curves and bifurcation theory.The system undergoes flip bifurcation and Neimark-Sacker bifurcation.Numerical simulations are presented not only to illustrate our resultswith the theoretical analysis, but also to confirm further the complexityof the dynamical behaviors as extinction, persistence and permanence. |
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