Canard Limit Cycle of the Holling-Tanner Model

Joint Authors

Zheng, Chongwu
Li, Jianquan
Zhang, Fengqin

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-07-15

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

By using the singular perturbation theory on canard cycles, we investigate the canard phenomenon for the Holling-Tanner model with the intrinsic growth rate of the predator small enough.

The obtained result shows that there may be at most one canard limit cycle, and the range of small parameters is estimated.

The phenomenon of outbreak is explained.

American Psychological Association (APA)

Zheng, Chongwu& Zhang, Fengqin& Li, Jianquan. 2014. Canard Limit Cycle of the Holling-Tanner Model. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-503736

Modern Language Association (MLA)

Zheng, Chongwu…[et al.]. Canard Limit Cycle of the Holling-Tanner Model. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-503736

American Medical Association (AMA)

Zheng, Chongwu& Zhang, Fengqin& Li, Jianquan. Canard Limit Cycle of the Holling-Tanner Model. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-503736

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-503736