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Frequency: Quarterly
ISSN: 1553-3468 (Print)
ISSN: 1558-6332 (Online)
Research Article Open Access

Controlling Chaos of the Ricker Population Model by OGY Method

Guo Feng1
  • 1 Shandong Women’s University, China

Abstract

The chaotic dynamics of the Ricker mapping are studied. Controlling chaos of the Ricker population model is searched by OGY control method. The dynamic behavior in the Ricker mapping is very complex in different values of a. When the value of a is changed from 0.455 to 90, the mapping goes through doubling bifurcation to Neimark-Sacker bifurcation. Several strange attractors coexist at last. Through the numerical simulation and analysis of the bifurcation and phase diagrams of the mapping, it is consistent with the theoretical analysis. Studies have shown that ecological balance can be achieved by appropriately adjusting the birth rate a, survival rate b.

American Journal of Biochemistry and Biotechnology
Volume 16 No. 3, 2020, 424-431

DOI: https://doi.org/10.3844/ajbbsp.2020.424.431

Submitted On: 3 July 2020 Published On: 8 September 2020

How to Cite: Feng, G. (2020). Controlling Chaos of the Ricker Population Model by OGY Method. American Journal of Biochemistry and Biotechnology, 16(3), 424-431. https://doi.org/10.3844/ajbbsp.2020.424.431

Open AccessCopyright: © 2020 Guo Feng. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Ricker Mapping
  • Control Chaos Motion
  • OGY Method