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1. Control of Hopf Bifurcation and Chaos in a Delayed Lotka-Volterra Predator-Prey System with Time-Delayed Feedbacks.

Author

Huitao Zhao, Yaowei Sun, and Zhen Wang

Subjects
*HOPF bifurcations, *BIFURCATION theory, *LOTKA-Volterra equations, *PREDATION, *FUNCTIONAL differential equations, *ALGORITHMS
Abstract

A delayed Lotka-Volterra predator-prey system with time delayed feedback is studied by using the theory of functional differential equation and Hassard's method. By choosing appropriate control parameter, we investigate the existence of Hopf bifurcation. An explicit algorithmis given to determine the directions and stabilities of the bifurcating periodic solutions. We find that these control laws can be applied to control Hopf bifurcation and chaotic attractor. Finally, some numerical simulations are given to illustrate the effectiveness of the results found. [ABSTRACT FROM AUTHOR]

Published
2014
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