Chaos and bifurcation of a nonlinear discrete prey-predator system

Abstract

The discrete-time Prey-predator system obtained by two dimensional map was studied in present study. The fixed points and their stability were analyzed. Bifurcation diagram has been obtained for selected range of different parameters. As some parameters varied, the model exhibited chaos as a long time behavior. Lyapunovexponents and fractal dimension of the chaotic attractor of our map were also calculated. Complex dynamics such as cycles and chaos were observed.

Keywords

• prey-predator system
• chaotic behavior
• Lyapunov exponents
• fractal dimension