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

Xiaoqin Wang, Yongli Cai and Huihai Ma

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-10

Abstract:

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.

Date: 2013
References: Add references at CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2013/984960.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2013/984960.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:984960

DOI: 10.1155/2013/984960

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().