Stability, delay, and chaotic behavior in a Lotka-Volterra predator-prey system

We consider the following Lotka-Volterra predator-prey system with two delays:$x'(t) = x(t) [r_1 - ax(t- \tau_1) - by(t)]$$y'(t) = y(t) [-r_2 + cx(t) - dy(t- \tau_2)]$ (E)We show that a positive equilibrium of system (E) is globally asymptotically stable for small delays. Critical values...

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Bibliographic Details

Published in:	Mathematical Biosciences and Engineering
Main Authors:	S. Nakaoka, Y. Saito, Y. Takeuchi
Format:	Article
Language:	English
Published:	AIMS Press 2005-10-01
Subjects:	subcritical hopf bifurcation nonlinear dynamics. chaotic behavior predator-prey mathematical model
Online Access:	https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.173