BIFURCATION ANALYSIS FOR METAPOPULATION MODELS
by
Mehmet Can
International University of Sarajevo, Paromlinska 66, 71000 Sarajevo, BiH.
Coauthors: Rukiye Kara

ABSTRACT

Two models with four components of chain populations are considered. In the model, a prey population X is predated by individuals of a specialist predator population Y, and another prey population Z is predated by individuals of a generalist predator population U. This model is governed by a system of four nonlinear first order ordinary differential equations. To study the dynamics of the food chain model, the mentioned system of ordinary differential equations solved numerically. One of the biological parameters varied in a sufficiently large range and its effects on the dynamics of the system are observed. Along the axis of the predating rate of the specialist predator , around four points we meet chaos. At each time chaos precedes period doublings.

Date received: March 22, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caun-04.