A New Global Stable Conclusion on a Diffusive Leslie-Gower Predator-Prey System with Additive Allee Effect

Author

Yang, Liu

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-12-22

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Mathematics

Abstract EN

In this work, a diffusive Leslie-Gower predator-prey model with additive Allee effect on prey under a homogeneous Neumann boundary condition is reconsidered.

We establish new sufficient conditions for the global stability of the unique positive equilibrium point of the system by using the comparison method rather than the Lyapunov function method.

It is shown that our result supplements and complements one of the main results of Yang and Zhong, 2015.

Furthermore, numerical simulations are performed to consolidate the analytic finding.

American Psychological Association (APA)

Yang, Liu. 2019. A New Global Stable Conclusion on a Diffusive Leslie-Gower Predator-Prey System with Additive Allee Effect. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-5.
https://search.emarefa.net/detail/BIM-1146555

Modern Language Association (MLA)

Yang, Liu. A New Global Stable Conclusion on a Diffusive Leslie-Gower Predator-Prey System with Additive Allee Effect. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-5.
https://search.emarefa.net/detail/BIM-1146555

American Medical Association (AMA)

Yang, Liu. A New Global Stable Conclusion on a Diffusive Leslie-Gower Predator-Prey System with Additive Allee Effect. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-5.
https://search.emarefa.net/detail/BIM-1146555

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1146555