The Existence of Li-Yorke Chaos in Certain Predator-Prey System of Difference Equations

Mirela  Garić-Demirović; Sabina  Hrustić; Samra  Moranjkić; Mehmed  Nurkanović; Zehra  Nurkanović

doi:10.5644/SJM.18.01.04

Authors

Mirela Garić-Demirović University of Tuzla Department of Mathematics, Tuzla
Sabina Hrustić University of Tuzla Department of Mathematics, Tuzla
Samra Moranjkić University of Tuzla Department of Mathematics, Tuzla
Mehmed Nurkanović University of Tuzla Department of Mathematics, Tuzla
Zehra Nurkanović University of Tuzla Department of Mathematics, Tuzla

DOI:

https://doi.org/10.5644/SJM.18.01.04

Keywords:

difference equation, equilibrium, predator-prey system, snap-back repeller, Li-Yorke chaos

Abstract

This paper investigates an autonomous predator-prey system of difference equations with three equilibrium points and exhibits chaos in the sense of Li-Yorke in the positive equilibrium point. Numerical simulations are presented to illustrate our results.

Statistics

Abstract: 69 / PDF: 39

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