Chaos and Bifurcations of a Leslie-Gower Food Chain with Strong Allee Effect

Joint Authors

Xue, Chunshan
Liu, Xia

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-10-26

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

Allee effect, as an important biological phenomenon, has been considered in many ecosystems, whereas, its influence on interactions of three or more species is little investigated.

In this paper we modify a three-species Leslie-Gower type food chain system by incorporating the strong Allee effect into the source.

Our results show that the existence of Allee effect contributes to the occurrence of more complex dynamics of the system, including Hopf, saddle-node, transcritical, saddle-node-Hopf, period-doubling, and period-halving bifurcations and chaos.

American Psychological Association (APA)

Xue, Chunshan& Liu, Xia. 2015. Chaos and Bifurcations of a Leslie-Gower Food Chain with Strong Allee Effect. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060511

Modern Language Association (MLA)

Xue, Chunshan& Liu, Xia. Chaos and Bifurcations of a Leslie-Gower Food Chain with Strong Allee Effect. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1060511

American Medical Association (AMA)

Xue, Chunshan& Liu, Xia. Chaos and Bifurcations of a Leslie-Gower Food Chain with Strong Allee Effect. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060511

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1060511