Pattern Formation in a Cross-Diffusive Ratio-Dependent Predator-Prey Model
Joint Authors
Wang, Hailing
Lian, Xinze
Yue, Yanhong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-29
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper presents a theoretical analysis of evolutionary process that involves organisms distribution and their interaction of spatial distribution of the species with self- and cross-diffusion in a Holling-III ratio-dependent predator-prey model.
The diffusion instability of the positive equilibrium of the model with Neumann boundary conditions is discussed.
Furthermore, we present novel numerical evidence of time evolution of patterns controlled by self- and cross-diffusion in the model and find that the model dynamics exhibits a cross-diffusion controlled formation growth to spots, stripes, and spiral wave pattern replication, which show that reaction-diffusion model is useful to reveal the spatial predation dynamics in the real world.
American Psychological Association (APA)
Lian, Xinze& Yue, Yanhong& Wang, Hailing. 2012. Pattern Formation in a Cross-Diffusive Ratio-Dependent Predator-Prey Model. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-500169
Modern Language Association (MLA)
Lian, Xinze…[et al.]. Pattern Formation in a Cross-Diffusive Ratio-Dependent Predator-Prey Model. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-500169
American Medical Association (AMA)
Lian, Xinze& Yue, Yanhong& Wang, Hailing. Pattern Formation in a Cross-Diffusive Ratio-Dependent Predator-Prey Model. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-500169
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500169