Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator

Joint Authors

Ma, Huihai
Cai, Yongli
Wang, Xiaoqin

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-02-17

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

The reaction-diffusion Holling-Tanner prey-predator model considering the Allee effect on predator, under zero-flux boundary conditions, is discussed.

Some properties of the solutions, such as dissipation and persistence, are obtained.

Local and global stability of the positive equilibrium and Turing instability are studied.

With the help of the numerical simulations, the rich Turing patterns, including holes, stripes, and spots patterns, are obtained.

American Psychological Association (APA)

Wang, Xiaoqin& Cai, Yongli& Ma, Huihai. 2013. Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-513659

Modern Language Association (MLA)

Wang, Xiaoqin…[et al.]. Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-513659

American Medical Association (AMA)

Wang, Xiaoqin& Cai, Yongli& Ma, Huihai. Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-513659

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-513659