Multiple Bifurcations and Chaos in a Discrete Prey-Predator System with Generalized Holling III Functional Response

Joint Authors

Liu, Yanwei
Li, Qiaoping
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

2015-02-25

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

A prey-predator system with the strong Allee effect and generalized Holling type III functional response is presented and discretized.

It is shown that the combined influences of Allee effect and step size have an important effect on the dynamics of the system.

The existences of Flip and Neimark-Sacker bifurcations and strange attractors and chaotic bands are investigated by using the center manifold theorem and bifurcation theory and some numerical methods.

American Psychological Association (APA)

Liu, Xia& Liu, Yanwei& Li, Qiaoping. 2015. Multiple Bifurcations and Chaos in a Discrete Prey-Predator System with Generalized Holling III Functional Response. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060427

Modern Language Association (MLA)

Liu, Xia…[et al.]. Multiple Bifurcations and Chaos in a Discrete Prey-Predator System with Generalized Holling III Functional Response. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1060427

American Medical Association (AMA)

Liu, Xia& Liu, Yanwei& Li, Qiaoping. Multiple Bifurcations and Chaos in a Discrete Prey-Predator System with Generalized Holling III Functional Response. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060427

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1060427