Allee‐Effect‐Induced Instability in a Reaction‐Diffusion Predator‐Prey Model

Weiming Wang, Yongli Cai, Yanuo Zhu and Zhengguang Guo

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We investigate the spatiotemporal dynamics induced by Allee effect in a reaction‐diffusion predator‐prey model. In the case without Allee effect, there is nonexistence of diffusion‐driven instability for the model. And in the case with Allee effect, the positive equilibrium may be unstable under certain conditions. This instability is induced by Allee effect and diffusion together. Furthermore, via numerical simulations, the model dynamics exhibits both Allee effect and diffusion controlled pattern formation growth to holes, stripes‐holes mixture, stripes, stripes‐spots mixture, and spots replication, which shows that the dynamics of the model with Allee effect is not simple, but rich and complex.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/487810

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:wly:jnlaaa:v:2013:y:2013:i:1:n:487810

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().