<?xml version="1.0" encoding="UTF-8" ?>
<XML>
<RECORDS>
<RECORD>
<TITLE>Chaos and bifurcation of a nonlinear discrete prey-predator system</TITLE>
<AUTHORS>
<AUTHOR>Abd-Elalim A. Elsadany, H. A. EL-Metwally, E. M. Elabbasy, H. N. Agiza</AUTHOR>
</AUTHORS>
<JOURNAL>Computational Ecology and Software</JOURNAL>
<ISSN>2220-721X</ISSN>
<YEAR>2012</YEAR>
<VOLUME>2</VOLUME>
<PAGES>169-180</PAGES>
<DATE>09/2012</DATE>
<PUBLISHER>International Academy of Ecology and Environmental Sciences</PUBLISHER>
<KEYWORDS>
<KEYWORD>prey-predator system</KEYWORD>
<KEYWORD>chaotic behavior</KEYWORD>
<KEYWORD>Lyapunov exponents</KEYWORD>
<KEYWORD>fractal dimension</KEYWORD>
</KEYWORDS>
<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. Lyapunov
exponents and fractal dimension of the chaotic attractor of our map were also calculated. Complex dynamics
such as cycles and chaos were observed.
</ABSTRACT>
<DOI>DOI 10.0000/issn-2220-721x-compuecol-2012-v2-0013</DOI>
<URL>http://www.iaees.org/publications/journals/ces/articles/2012-2(3)/chaos-and-bifurcation-of-a-nonlinear-discrete-prey-predator-system.pdf</URL>
</RECORD>
</RECORDS>
</XML>
