Relaxation Oscillations and Dynamical Properties in Two Time-Delay Slow-Fast Modified Leslie-Gower Models

Joint Authors

Wang, Yufeng
Qian, Youhua
Lin, Bingwen

Source

Complexity

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-09-25

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Philosophy

Abstract EN

In this paper, we consider two kinds of time-delay slow-fast modified Leslie-Gower models.

For the first system, we prove the existence and uniqueness of relaxation oscillation cycle through the geometric singular perturbation theory and entry-exit function.

For the second system, we put forward a conjecture that the relaxation oscillation of the system is unique.

Numerical simulation also verifies our results for the systems.

American Psychological Association (APA)

Wang, Yufeng& Qian, Youhua& Lin, Bingwen. 2020. Relaxation Oscillations and Dynamical Properties in Two Time-Delay Slow-Fast Modified Leslie-Gower Models. Complexity،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1139891

Modern Language Association (MLA)

Wang, Yufeng…[et al.]. Relaxation Oscillations and Dynamical Properties in Two Time-Delay Slow-Fast Modified Leslie-Gower Models. Complexity No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1139891

American Medical Association (AMA)

Wang, Yufeng& Qian, Youhua& Lin, Bingwen. Relaxation Oscillations and Dynamical Properties in Two Time-Delay Slow-Fast Modified Leslie-Gower Models. Complexity. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1139891

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1139891