COMPLEX DYNAMICS IN 2-SPECIES PREDATOR-PREY SYSTEMS | Zendy

Ilhem Djellit | Zendy; Mohamed Lamine Sahari | Zendy; A. Hachemi | Zendy

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COMPLEX DYNAMICS IN 2-SPECIES PREDATOR-PREY SYSTEMS

Author(s) -

Ilhem Djellit,

Mohamed Lamine Sahari,

A. Hachemi

Publication year - 2013

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2013002

Subject(s) - bifurcation , mathematics , saddle node bifurcation , extinction (optical mineralogy) , transcritical bifurcation , predation , dynamical systems theory , bogdanov–takens bifurcation , bifurcation theory , statistical physics , biological applications of bifurcation theory , functional response , control theory (sociology) , mathematical analysis , predator , physics , ecology , computer science , biology , nonlinear system , artificial intelligence , control (management) , quantum mechanics , optics

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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